Combining Philosophers

All the ideas for PG, Gottfried Leibniz and David Lewis

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1011 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom is the science of happiness [Leibniz]
Wisdom is knowing all of the sciences, and their application [Leibniz]
Wisdom involves the desire to achieve perfection [Leibniz]
1. Philosophy / A. Wisdom / 2. Wise People
Wise people have fewer acts of will, because such acts are linked together [Leibniz]
1. Philosophy / B. History of Ideas / 3. Greek-English Lexicon
Agathon: good [PG]
Aisthesis: perception, sensation, consciousness [PG]
Aitia / aition: cause, explanation [PG]
Akrasia: lack of control, weakness of will [PG]
Aletheia: truth [PG]
Anamnesis: recollection, remembrance [PG]
Ananke: necessity [PG]
Antikeimenon: object [PG]
Apatheia: unemotional [PG]
Apeiron: the unlimited, indefinite [PG]
Aphairesis: taking away, abstraction [PG]
Apodeixis: demonstration [PG]
Aporia: puzzle, question, anomaly [PG]
Arche: first principle, the basic [PG]
Arete: virtue, excellence [PG]
Chronismos: separation [PG]
Diairesis: division [PG]
Dialectic: dialectic, discussion [PG]
Dianoia: intellection [cf. Noesis] [PG]
Diaphora: difference [PG]
Dikaiosune: moral goodness, justice [PG]
Doxa: opinion, belief [PG]
Dunamis: faculty, potentiality, capacity [PG]
Eidos: form, idea [PG]
Elenchos: elenchus, interrogation [PG]
Empeiron: experience [PG]
Energeia: employment, actuality, power? [PG]
Enkrateia: control [PG]
Entelecheia: entelechy, having an end [PG]
Epagoge: induction, explanation [PG]
Episteme: knowledge, understanding [PG]
Epithumia: appetite [PG]
Ergon: function [PG]
Eristic: polemic, disputation [PG]
Eros: love [PG]
Eudaimonia: flourishing, happiness, fulfilment [PG]
Genos: type, genus [PG]
Hexis: state, habit [PG]
Horismos: definition [PG]
Hule: matter [PG]
Hupokeimenon: subject, underlying thing [cf. Tode ti] [PG]
Kalos / kalon: beauty, fineness, nobility [PG]
Kath' hauto: in virtue of itself, essentially [PG]
Kinesis: movement, process [PG]
Kosmos: order, universe [PG]
Logos: reason, account, word [PG]
Meson: the mean [PG]
Metechein: partaking, sharing [PG]
Mimesis: imitation, fine art [PG]
Morphe: form [PG]
Noesis: intellection, rational thought [cf. Dianoia] [PG]
Nomos: convention, law, custom [PG]
Nous: intuition, intellect, understanding [PG]
Orexis: desire [PG]
Ousia: substance, (primary) being, [see 'Prote ousia'] [PG]
Pathos: emotion, affection, property [PG]
Phantasia: imagination [PG]
Philia: friendship [PG]
Philosophia: philosophy, love of wisdom [PG]
Phronesis: prudence, practical reason, common sense [PG]
Physis: nature [PG]
Praxis: action, activity [PG]
Prote ousia: primary being [PG]
Psuche: mind, soul, life [PG]
Sophia: wisdom [PG]
Sophrosune: moderation, self-control [PG]
Stoicheia: elements [PG]
Sullogismos: deduction, syllogism [PG]
Techne: skill, practical knowledge [PG]
Telos: purpose, end [PG]
Theoria: contemplation [PG]
Theos: god [PG]
Ti esti: what-something-is, essence [PG]
Timoria: vengeance, punishment [PG]
To ti en einai: essence, what-it-is-to-be [PG]
To ti estin: essence [PG]
Tode ti: this-such, subject of predication [cf. hupokeimenon] [PG]
1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / a. Ancient chronology
323 (roughly): Euclid wrote 'Elements', summarising all of geometry [PG]
1000 (roughly): Upanishads written (in Sanskrit); religious and philosophical texts [PG]
750 (roughly): the Book of Genesis written by Hebrew writers [PG]
586: eclipse of the sun on the coast of modern Turkey was predicted by Thales of Miletus [PG]
570: Anaximander flourished in Miletus [PG]
563: the Buddha born in northern India [PG]
540: Lao Tzu wrote 'Tao Te Ching', the basis of Taoism [PG]
529: Pythagoras created his secretive community at Croton in Sicily [PG]
500: Heraclitus flourishes at Ephesus, in modern Turkey [PG]
496: Confucius travels widely, persuading rulers to be more moral [PG]
472: Empedocles persuades his city (Acragas in Sicily) to become a democracy [PG]
450 (roughly): Parmenides and Zeno visit Athens from Italy [PG]
445: Protagoras helps write laws for the new colony of Thurii [PG]
436 (roughly): Anaxagoras is tried for impiety, and expelled from Athens [PG]
170 (roughly): Marcus Aurelius wrote his private stoic meditations [PG]
-200 (roughly): Sextus Empiricus wrote a series of books on scepticism [PG]
263: Porphyry began to study with Plotinus in Rome [PG]
310: Christianity became the official religion of the Roman empire [PG]
387: Ambrose converts Augustine to Christianity [PG]
523: Boethius imprisoned at Pavia, and begins to write [PG]
529: the emperor Justinian closes all the philosophy schools in Athens [PG]
427: Gorgias visited Athens as ambassador for Leontini [PG]
399: Socrates executed (with Plato absent through ill health) [PG]
387 (roughly): Plato returned to Athens, and founded the Academy [PG]
387 (roughly): Aristippus the Elder founder a hedonist school at Cyrene [PG]
367: the teenaged Aristotle came to study at the Academy [PG]
360 (roughly): Diogenes of Sinope lives in a barrel in central Athens [PG]
347: death of Plato [PG]
343: Aristotle becomes tutor to 13 year old Alexander (the Great) [PG]
335: Arisotle founded his school at the Lyceum in Athens [PG]
330 (roughly): Chuang Tzu wrote his Taoist book [PG]
322: Aristotle retired to Chalcis, and died there [PG]
307 (roughly): Epicurus founded his school at the Garden in Athens [PG]
301 (roughly): Zeno of Citium founded Stoicism at the Stoa Poikile in Athens [PG]
261: Cleanthes replaced Zeno as head of the Stoa [PG]
229 (roughly): Chrysippus replaced Cleanthes has head of the Stoa [PG]
157 (roughly): Carneades became head of the Academy [PG]
85: most philosophical activity moves to Alexandria [PG]
78: Cicero visited the stoic school on Rhodes [PG]
60 (roughly): Lucretius wrote his Latin poem on epicureanism [PG]
65: Seneca forced to commit suicide by Nero [PG]
80: the discourses of the stoic Epictetus are written down [PG]
1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / a. Earlier European chronology
1090: Anselm publishes his proof of the existence of God [PG]
622 (roughly): Mohammed writes the Koran [PG]
642: Arabs close the philosophy schools in Alexandria [PG]
910 (roughly): Al-Farabi wrote Arabic commentaries on Aristotle [PG]
1015 (roughly): Ibn Sina (Avicenna) writes a book on Aristotle [PG]
1115: Abelard is the chief logic teacher in Paris [PG]
1166: Ibn Rushd (Averroes) wrote extensive commentaries on Aristotle [PG]
1266: Aquinas began writing 'Summa Theologica' [PG]
1280: after his death, the teaching of Aquinas becomes official Dominican doctrine [PG]
1328: William of Ockham decides the Pope is a heretic, and moves to Munich [PG]
1347: the Church persecutes philosophical heresies [PG]
1470: Marsilio Ficino founds a Platonic Academy in Florence [PG]
1513: Machiavelli wrote 'The Prince' [PG]
1543: Copernicus publishes his heliocentric view of the solar system [PG]
1580: Montaigne publishes his essays [PG]
1600: Giordano Bruno was burned at the stake in Rome [PG]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / a. Later European chronology
1619: Descartes's famous day of meditation inside a stove [PG]
1620: Bacon publishes 'Novum Organum' [PG]
1633: Galileo convicted of heresy by the Inquisition [PG]
1641: Descartes publishes his 'Meditations' [PG]
1650: death of Descartes, in Stockholm [PG]
1651: Hobbes publishes 'Leviathan' [PG]
1662: the Port Royal Logic is published [PG]
1665: Spinoza writes his 'Ethics' [PG]
1676: Leibniz settled as librarian to the Duke of Brunswick [PG]
1687: Newton publishes his 'Principia Mathematica' [PG]
1690: Locke publishes his 'Essay' [PG]
1697: Bayle publishes his 'Dictionary' [PG]
1713: Berkeley publishes his 'Three Dialogues' [PG]
1734: Voltaire publishes his 'Philosophical Letters' [PG]
1739: Hume publishes his 'Treatise' [PG]
1762: Rousseau publishes his 'Social Contract' [PG]
1781: Kant publishes his 'Critique of Pure Reason' [PG]
1785: Reid publishes his essays defending common sense [PG]
1798: the French Revolution [PG]
1807: Hegel publishes his 'Phenomenology of Spirit' [PG]
1818: Schopenhauer publishes his 'World as Will and Idea' [PG]
1840: Kierkegaard is writing extensively in Copenhagen [PG]
1843: Mill publishes his 'System of Logic' [PG]
1848: Marx and Engels publis the Communist Manifesto [PG]
1859: Darwin publishes his 'Origin of the Species' [PG]
1861: Mill publishes 'Utilitarianism' [PG]
1867: Marx begins publishing 'Das Kapital' [PG]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / b. Seventeenth century philosophy
Leibniz aims to give coherent rational support for empiricism [Leibniz, by Perkins]
1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / a. Modern philosophy chronology
1879: Peirce taught for five years at Johns Hopkins University [PG]
1879: Frege invents predicate logic [PG]
1892: Frege's essay 'Sense and Reference' [PG]
1884: Frege publishes his 'Foundations of Arithmetic' [PG]
1885: Nietzsche completed 'Thus Spake Zarathustra' [PG]
1888: Dedekind publishes axioms for arithmetic [PG]
1890: James published 'Principles of Psychology' [PG]
1895 (roughly): Freud developed theories of the unconscious [PG]
1900: Husserl began developing Phenomenology [PG]
1953: Wittgenstein's 'Philosophical Investigations' [PG]
1956: Place proposed mind-brain identity [PG]
1962: Kuhn's 'Structure of Scientific Revolutions' [PG]
1967: Putnam proposed functionalism of the mind [PG]
1971: Rawls's 'A Theory of Justice' [PG]
1972: Kripke publishes 'Naming and Necessity' [PG]
1975: Singer publishes 'Animal Rights' [PG]
1975: Putnam published his Twin Earth example [PG]
1986: David Lewis publishes 'On the Plurality of Worlds' [PG]
1903: Moore published 'Principia Ethica' [PG]
1904: Dewey became professor at Columbia University [PG]
1908: Zermelo publishes axioms for set theory [PG]
1910: Russell and Whitehead begin publishing 'Principia Mathematica' [PG]
1912: Russell meets Wittgenstein in Cambridge [PG]
1921: Wittgenstein's 'Tractatus' published [PG]
1927: Heidegger's 'Being and Time' published [PG]
1930: Frank Ramsey dies at 27 [PG]
1931: Gödel's Incompleteness Theorems [PG]
1933: Tarski's theory of truth [PG]
1942: Camus published 'The Myth of Sisyphus' [PG]
1943: Sartre's 'Being and Nothingness' [PG]
1945: Merleau-Ponty's 'Phenomenology of Perception' [PG]
1947: Carnap published 'Meaning and Necessity' [PG]
1950: Quine's essay 'Two Dogmas of Empiricism' [PG]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
All other human gifts can harm us, but not correct reasoning [Leibniz]
Philosophy is sanctified, because it flows from God [Leibniz]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Honesty requires philosophical theories we can commit to with our ordinary commonsense [Lewis]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is a science of the intelligible nature of being [Leibniz, by Cover/O'Leary-Hawthorne]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
I tried to be unsystematic and piecemeal, but failed; my papers presuppose my other views [Lewis]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Leibniz tried to combine mechanistic physics with scholastic metaphysics [Leibniz, by Pasnau]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Metaphysics is geometrical, resting on non-contradiction and sufficient reason [Leibniz]
We can grasp the wisdom of God a priori [Leibniz]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
An idea is analysed perfectly when it is shown a priori that it is possible [Leibniz]
Analysis is the art of finding the middle term [Leibniz]
Analysis reduces primitives and makes understanding explicit (without adding new knowledge) [Lewis]
Armstrong's analysis seeks truthmakers rather than definitions [Lewis]
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Analysing right down to primitive concepts seems beyond our powers [Leibniz]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
In addition to analysis of a concept, one can deny it, or accept it as primitive [Lewis]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Note that "is" can assert existence, or predication, or identity, or classification [PG]
2. Reason / A. Nature of Reason / 1. On Reason
Reason is the faculty for grasping apriori necessary truths [Leibniz, by Burge]
A reason is a known truth which leads to assent to some further truth [Leibniz]
2. Reason / A. Nature of Reason / 3. Pure Reason
Reasonings have a natural ordering in God's understanding, but only a temporal order in ours [Leibniz]
2. Reason / A. Nature of Reason / 4. Aims of Reason
The two basics of reasoning are contradiction and sufficient reason [Leibniz]
For Leibniz rationality is based on non-contradiction and the principle of sufficient reason [Leibniz, by Benardete,JA]
2. Reason / A. Nature of Reason / 7. Status of Reason
Opposing reason is opposing truth, since reason is a chain of truths [Leibniz]
2. Reason / A. Nature of Reason / 9. Limits of Reason
The universe is infinitely varied, so the Buridan's Ass dilemma could never happen [Leibniz]
2. Reason / B. Laws of Thought / 1. Laws of Thought
Necessities rest on contradiction, and contingencies on sufficient reason [Leibniz]
General principles, even if unconscious, are indispensable for thinking [Leibniz]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
For every event it is possible for an omniscient being to give a reason for its occurrence [Leibniz]
Leibniz said the principle of sufficient reason is synthetic a priori, since its denial is not illogical [Leibniz, by Benardete,JA]
No fact can be real and no proposition true unless there is a Sufficient Reason (even if we can't know it) [Leibniz]
The principle of sufficient reason is needed if we are to proceed from maths to physics [Leibniz]
There is always a reason why things are thus rather than otherwise [Leibniz]
No reason could limit the quantity of matter, so there is no limit [Leibniz]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Reason avoids multiplying hypotheses or principles [Leibniz]
2. Reason / D. Definition / 1. Definitions
'Nominal' definitions just list distinguishing characteristics [Leibniz]
Interdefinition is useless by itself, but if we grasp one separately, we have them both [Lewis]
2. Reason / D. Definition / 2. Aims of Definition
Defining terms either enables elimination, or shows that they don't require elimination [Lewis]
2. Reason / D. Definition / 3. Types of Definition
A nominal definition is of the qualities, but the real definition is of the essential inner structure [Leibniz]
2. Reason / D. Definition / 4. Real Definition
Definitions can only be real if the item is possible [Leibniz]
One essence can be expressed by several definitions [Leibniz]
If our ideas of a thing are imperfect, the thing can have several unconnected definitions [Leibniz]
Real definitions, unlike nominal definitions, display possibilities [Leibniz]
2. Reason / D. Definition / 5. Genus and Differentia
Genus and differentia might be swapped, and 'rational animal' become 'animable rational' [Leibniz]
2. Reason / E. Argument / 1. Argument
Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis]
2. Reason / E. Argument / 6. Conclusive Proof
Leibniz is inclined to regard all truths as provable [Leibniz, by Frege]
2. Reason / F. Fallacies / 1. Fallacy
Fallacies are errors in reasoning, 'formal' if a clear rule is breached, and 'informal' if more general [PG]
2. Reason / F. Fallacies / 3. Question Begging
Question-begging assumes the proposition which is being challenged [PG]
2. Reason / F. Fallacies / 6. Fallacy of Division
What is true of a set is also true of its members [PG]
2. Reason / F. Fallacies / 7. Ad Hominem
The Ad Hominem Fallacy criticises the speaker rather than the argument [PG]
3. Truth / A. Truth Problems / 1. Truth
A truth is just a proposition in which the predicate is contained within the subject [Leibniz]
The predicate is in the subject of a true proposition [Leibniz]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth is a characteristic of possible thoughts [Leibniz]
True and false seem to pertain to thoughts, yet unthought propositions seem to be true or false [Leibniz]
To be true a sentence must express a proposition, and not be ambiguous or vague or just expressive [Lewis]
3. Truth / A. Truth Problems / 6. Verisimilitude
Verisimilitude might be explained as being close to the possible world where the truth is exact [Lewis]
Verisimilitude has proved hard to analyse, and seems to have several components [Lewis]
3. Truth / A. Truth Problems / 8. Subjective Truth
We hold a proposition true if we are ready to follow it, and can't see any objections [Leibniz]
Choose the true hypothesis, which is the most intelligible one [Leibniz]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Truthmakers are about existential grounding, not about truth [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Predications aren't true because of what exists, but of how it exists [Lewis]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
Say 'truth is supervenient on being', but construe 'being' broadly [Lewis]
3. Truth / B. Truthmakers / 6. Making Negative Truths
If it were true that nothing at all existed, would that have a truthmaker? [Lewis]
3. Truth / B. Truthmakers / 9. Making Past Truths
Presentism says only the present exists, so there is nothing for tensed truths to supervene on [Lewis]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Truthmaker is correspondence, but without the requirement to be one-to-one [Lewis]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Truth is correspondence between mental propositions and what they are about [Leibniz]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Everything in the universe is interconnected, so potentially a mind could know everything [Leibniz]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Minimal theories of truth avoid ontological commitment to such things as 'facts' or 'reality' [PG]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Sets are mereological sums of the singletons of their members [Lewis, by Armstrong]
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
We can build set theory on singletons: classes are then fusions of subclasses, membership is the singleton [Lewis]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
Classes divide into subclasses in many ways, but into members in only one way [Lewis]
A subclass of a subclass is itself a subclass; a member of a member is not in general a member [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We needn't accept this speck of nothingness, this black hole in the fabric of Reality! [Lewis]
We can accept the null set, but there is no null class of anything [Lewis]
There are four main reasons for asserting that there is an empty set [Lewis]
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
If we don't understand the singleton, then we don't understand classes [Lewis]
If singleton membership is external, why is an object a member of one rather than another? [Lewis]
Maybe singletons have a structure, of a thing and a lasso? [Lewis]
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
We can replace the membership relation with the member-singleton relation (plus mereology) [Lewis]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Set theory has some unofficial axioms, generalisations about how to understand it [Lewis]
Set theory reduces to a mereological theory with singletons as the only atoms [Lewis, by MacBride]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
Set theory isn't innocent; it generates infinities from a single thing; but mathematics needs it [Lewis]
If singletons are where their members are, then so are all sets [Lewis]
A huge part of Reality is only accepted as existing if you have accepted set theory [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic teaches us how to order and connect our thoughts [Leibniz]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
At bottom eternal truths are all conditional [Leibniz]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Falsehood involves a contradiction, and truth is contradictory of falsehood [Leibniz]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
People who can't apply names usually don't understand the thing to which it applies [Leibniz]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
We can quantify over fictions by quantifying for real over their names [Lewis]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis]
Plural quantification lacks a complete axiom system [Lewis]
I like plural quantification, but am not convinced of its connection with second-order logic [Lewis]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
We could quantify over impossible objects - as bundles of properties [Lewis]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A consistent theory just needs one model; isomorphic versions will do too, and large domains provide those [Lewis]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
It is always good to reduce the number of axioms [Leibniz]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We can assign a characteristic number to every single object [Leibniz]
5. Theory of Logic / L. Paradox / 1. Paradox
Monty Hall Dilemma: do you abandon your preference after Monty eliminates one of the rivals? [PG]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Circles must be bounded, so cannot be infinite [Leibniz]
Geometry, unlike sensation, lets us glimpse eternal truths and their necessity [Leibniz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
There is no multiplicity without true units [Leibniz]
Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz]
Only whole numbers are multitudes of units [Leibniz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Everything is subsumed under number, which is a metaphysical statics of the universe, revealing powers [Leibniz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Nature uses the infinite everywhere [Leibniz]
A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
We shouldn't just accept Euclid's axioms, but try to demonstrate them [Leibniz]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
We know mathematical axioms, such as subtracting equals from equals leaves equals, by a natural light [Leibniz]
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Zermelo's model of arithmetic is distinctive because it rests on a primitive of set theory [Lewis]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Giving up classes means giving up successful mathematics because of dubious philosophy [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
To be a structuralist, you quantify over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
7. Existence / A. Nature of Existence / 1. Nature of Existence
'Allists' embrace the existence of all controversial entities; 'noneists' reject all but the obvious ones [Lewis]
7. Existence / A. Nature of Existence / 2. Types of Existence
We can't accept a use of 'existence' that says only some of the things there are actually exist [Lewis]
Lewis's distinction of 'existing' from 'being actual' is Meinong's between 'existing' and 'subsisting' [Lycan on Lewis]
There are only two kinds: sets, and possibilia (actual and possible particulars) [Lewis, by Oliver]
Existence doesn't come in degrees; once asserted, it can't then be qualified [Lewis]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Every proposition is entirely about being [Lewis]
7. Existence / A. Nature of Existence / 3. Being / g. Particular being
What is not truly one being is not truly a being either [Leibniz]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
The idea of being must come from our own existence [Leibniz]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette]
There must be a straining towards existence in the essence of all possible things [Leibniz]
Because something does exist, there must be a drive in possible things towards existence [Leibniz]
First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
What is not active is nothing [Leibniz]
7. Existence / B. Change in Existence / 1. Nature of Change
You can't deny temporary intrinsic properties by saying the properties are relations (to times) [Lewis]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
The events that suit semantics may not be the events that suit causation [Lewis]
Events are classes, and so there is a mereology of their parts [Lewis]
Some events involve no change; they must, because causal histories involve unchanges [Lewis]
Events have inbuilt essences, as necessary conditions for their occurrence [Lewis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
An event is a property of a unique space-time region [Lewis]
7. Existence / C. Structure of Existence / 2. Reduction
Supervenience is reduction without existence denials, ontological priorities, or translatability [Lewis]
The whole truth supervenes on the physical truth [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
A thing 'expresses' another if they have a constant and fixed relationship [Leibniz]
Supervenience concerns whether things could differ, so it is a modal notion [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Where pixels make up a picture, supervenience is reduction [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
A supervenience thesis is a denial of independent variation [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / d. Humean supervenience
Humean supervenience says the world is just a vast mosaic of qualities in space-time [Lewis]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Substances are in harmony, because they each express the one reality in themselves [Leibniz]
Leibniz proposes monads, since there must be basic things, which are immaterial in order to have unity [Leibniz, by Jolley]
Reality must be made of basic unities, which will be animated, substantial points [Leibniz]
A piece of flint contains something resembling perceptions and appetites [Leibniz]
Entelechies are analogous to souls, as other minds are analogous to our own minds [Leibniz]
Monads are not extended, but have a kind of situation in extension [Leibniz]
Only monads are substances, and bodies are collections of them [Leibniz]
All substances analyse down to simple substances, which are souls, or 'monads' [Leibniz]
A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz]
All simply substances are in harmony, because they all represent the one universe [Leibniz]
Without a substantial chain to link monads, they would just be coordinated dreams [Leibniz]
Monads control nothing outside of themselves [Leibniz]
Monads do not make a unity unless a substantial chain is added to them [Leibniz]
The monad idea incomprehensibly spiritualises matter, instead of materialising soul [La Mettrie on Leibniz]
He replaced Aristotelian continuants with monads [Leibniz, by Wiggins]
Is a drop of urine really an infinity of thinking monads? [Voltaire on Leibniz]
It is unclear in 'Monadology' how extended bodies relate to mind-like monads. [Garber on Leibniz]
Changes in a monad come from an internal principle, and the diversity within its substance [Leibniz]
A 'monad' has basic perception and appetite; a 'soul' has distinct perception and memory [Leibniz]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Objects of ideas can be divided into abstract and concrete, and then further subdivided [Leibniz]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
We have no idea of a third sort of thing, that isn't an individual, a class, or their mixture [Lewis]
Atomless gunk is an individual whose parts all have further proper parts [Lewis]
7. Existence / D. Theories of Reality / 2. Realism
If experience is just a dream, it is still real enough if critical reason is never deceived [Leibniz]
The strongest criterion that phenomena show reality is success in prediction [Leibniz]
The division of nature into matter makes distinct appearances, and that presupposes substances [Leibniz]
The only indications of reality are agreement among phenomena, and their agreement with necessities [Leibniz]
7. Existence / D. Theories of Reality / 3. Reality
Only unities have any reality [Leibniz]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists see the world as imaginary, or lacking joints, or beyond reference, or beyond truth [Lewis]
7. Existence / D. Theories of Reality / 6. Physicalism
Materialism is (roughly) that two worlds cannot differ without differing physically [Lewis]
7. Existence / D. Theories of Reality / 7. Fictionalism
Abstractions may well be verbal fictions, in which we ignore some features of an object [Lewis]
7. Existence / D. Theories of Reality / 9. States of Affairs
How do things combine to make states of affairs? Constituents can repeat, and fail to combine [Lewis]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
In actual things nothing is indefinite [Leibniz]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Semantic vagueness involves alternative and equal precisifications of the language [Lewis]
Vagueness is semantic indecision: we haven't settled quite what our words are meant to express [Lewis]
Whether or not France is hexagonal depends on your standards of precision [Lewis]
Semantic indecision explains vagueness (if we have precisifications to be undecided about) [Lewis]
7. Existence / E. Categories / 3. Proposed Categories
Have five categories - substance, quantity, quality, action/passion, relation - and their combinations [Leibniz]
7. Existence / E. Categories / 4. Category Realism
Our true divisions of nature match reality, but are probably incomplete [Leibniz]
8. Modes of Existence / A. Relations / 1. Nature of Relations
If relations can be reduced to, or supervene on, monadic properties of relata, they are not real [Leibniz, by Swoyer]
Relations aren't in any monad, so they are distributed, so they are not real [Leibniz]
A man's distant wife dying is a real change in him [Leibniz]
The ratio between two lines can't be a feature of one, and cannot be in both [Leibniz]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Surely 'slept in by Washington' is a property of some bed? [Lewis]
Universals are wholly present in their instances, whereas properties are spread around [Lewis]
Properties don't have degree; they are determinate, and things have varying relations to them [Lewis]
The 'abundant' properties are just any bizarre property you fancy [Lewis]
8. Modes of Existence / B. Properties / 2. Need for Properties
To be a 'property' is to suit a theoretical role [Lewis]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider]
Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis]
A disjunctive property can be unnatural, but intrinsic if its disjuncts are intrinsic [Lewis]
If a global intrinsic never varies between possible duplicates, all necessary properties are intrinsic [Cameron on Lewis]
Global intrinsic may make necessarily coextensive properties both intrinsic or both extrinsic [Cameron on Lewis]
If you think universals are immanent, you must believe them to be sparse, and not every related predicate [Lewis]
We must avoid circularity between what is intrinsic and what is natural [Lewis, by Cameron]
A property is 'intrinsic' iff it can never differ between duplicates [Lewis]
Ellipsoidal stars seem to have an intrinsic property which depends on other objects [Lewis]
All of the natural properties are included among the intrinsic properties [Lewis]
8. Modes of Existence / B. Properties / 5. Natural Properties
We might try defining the natural properties by a short list of them [Lewis]
Natural properties figure in the analysis of similarity in intrinsic respects [Lewis, by Oliver]
Lewisian natural properties fix reference of predicates, through a principle of charity [Lewis, by Hawley]
Reference partly concerns thought and language, partly eligibility of referent by natural properties [Lewis]
Objects are demarcated by density and chemistry, and natural properties belong in what is well demarcated [Lewis]
Natural properties tend to belong to well-demarcated things, typically loci of causal chains [Lewis]
For us, a property being natural is just an aspect of its featuring in the contents of our attitudes [Lewis]
All perfectly natural properties are intrinsic [Lewis, by Lewis]
Natural properties fix resemblance and powers, and are picked out by universals [Lewis]
Natural properties give similarity, joint carving, intrinsicness, specificity, homogeneity... [Lewis]
Defining natural properties by means of laws of nature is potentially circular [Lewis]
We can't define natural properties by resemblance, if they are used to explain resemblance [Lewis]
I don't take 'natural' properties to be fixed by the nature of one possible world [Lewis]
Sparse properties rest either on universals, or on tropes, or on primitive naturalness [Lewis, by Maudlin]
I assume there could be natural properties that are not instantiated in our world [Lewis]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Lewis says properties are sets of actual and possible objects [Lewis, by Heil]
Any class of things is a property, no matter how whimsical or irrelevant [Lewis]
The distinction between dispositional and 'categorical' properties leads to confusion [Lewis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
There are far more properties than any brain could ever encodify [Lewis]
We need properties as semantic values for linguistic expressions [Lewis]
There is the property of belonging to a set, so abundant properties are as numerous as the sets [Lewis]
Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis]
8. Modes of Existence / B. Properties / 11. Properties as Sets
A property is the set of its actual and possible instances [Lewis, by Oliver]
It would be easiest to take a property as the set of its instances [Lewis]
Properties are classes of possible and actual concrete particulars [Lewis, by Koslicki]
Properties are sets of their possible instances (which separates 'renate' from 'cordate') [Lewis, by Mellor/Oliver]
The property of being F is identical with the set of objects, in all possible worlds, which are F [Lewis, by Cameron]
Accidentally coextensive properties come apart when we include their possible instances [Lewis]
Properties don't seem to be sets, because different properties can have the same set [Lewis]
If a property is relative, such as being a father or son, then set membership seems relative too [Lewis]
A property is any class of possibilia [Lewis]
Trilateral and triangular seem to be coextensive sets in all possible worlds [Lewis]
I believe in properties, which are sets of possible individuals [Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
You must accept primitive similarity to like tropes, but tropes give a good account of it [Lewis]
Tropes are particular properties, which cannot recur, but can be exact duplicates [Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theory needs a primitive notion for what unites some tropes [Lewis]
Trope theory (unlike universals) needs a primitive notion of being duplicates [Lewis]
Tropes need a similarity primitive, so they cannot be used to explain similarity [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Because of the definitions of cause, effect and power, cause and effect have the same power [Leibniz]
Everything has a fixed power, as required by God, and by the possibility of reasoning [Leibniz]
The immediate cause of movements is more real [than geometry] [Leibniz]
We discern active power from our minds, so mind must be involved in all active powers [Leibniz]
I use the word 'entelechy' for a power, to include endeavour, as well as mere aptitude [Leibniz]
A complete monad is a substance with primitive active and passive power [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
As well as extension, bodies contain powers [Leibniz]
A substance contains the laws of its operations, and its actions come from its own depth [Leibniz]
The soul is not a substance but a substantial form, the first active faculty [Leibniz]
The most primitive thing in substances is force, which leads to their actions and dispositions [Leibniz]
All occurrence in the depth of a substance is spontaneous 'action' [Leibniz]
Substances are primary powers; their ways of being are the derivative powers [Leibniz]
Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz]
If dispositions are more fundamental than causes, then they won't conceptually reduce to them [Bird on Lewis]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
All dispositions must have causal bases [Lewis]
Lewisian properties have powers because of their relationships to other properties [Lewis, by Hawthorne]
A disposition needs a causal basis, a property in a certain causal role. Could the disposition be the property? [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Essence is primitive force, or a law of change [Leibniz]
The substantial form is the principle of action or the primitive force of acting [Leibniz]
Forms have sensation and appetite, the latter being the ability to act on other bodies [Leibniz, by Garber]
The essence of a thing is its real possibilities [Leibniz, by Cover/O'Leary-Hawthorne]
I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]
My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz]
Material or immaterial substances cannot be conceived without their essential activity [Leibniz]
Thought terminates in force, rather than extension [Leibniz]
There is active and passive power in the substantial chain and in the essence of a composite [Leibniz]
Primitive force is what gives a composite its reality [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
The active powers which are not essential to the substance are the 'real qualities' [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
There cannot be power without action; the power is a disposition to act [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
A 'finkish' disposition is real, but disappears when the stimulus occurs [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Most properties are causally irrelevant, and we can't spot the relevant ones. [Lewis]
8. Modes of Existence / D. Universals / 1. Universals
The main rivals to universals are resemblance or natural-class nominalism, or sparse trope theory [Lewis]
I suspend judgements about universals, but their work must be done [Lewis]
Universals recur, are multiply located, wholly present, make things overlap, and are held in common [Lewis]
If particles were just made of universals, similar particles would be the same particle [Lewis]
8. Modes of Existence / D. Universals / 2. Need for Universals
Physics aims to discover which universals actually exist [Lewis, by Moore,AW]
Universals are meant to give an account of resemblance [Lewis]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Universals aren't parts of things, because that relationship is transitive, and universals need not be [Lewis]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
The One over Many problem (in predication terms) deserves to be neglected (by ostriches) [Lewis]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Abstracta are abbreviated ways of talking; there are just substances, and truths about them [Leibniz]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We can add a primitive natural/unnatural distinction to class nominalism [Lewis]
To have a property is to be a member of a class, usually a class of things [Lewis]
Class Nominalism and Resemblance Nominalism are pretty much the same [Lewis]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Real (non-logical) abstract terms are either essences or accidents [Leibniz]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Wholly uniform things like space and numbers are mere abstractions [Leibniz]
9. Objects / A. Existence of Objects / 5. Simples
The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Leibniz moved from individuation by whole entity to individuation by substantial form [Leibniz, by Garber]
The only way we can determine individuals is by keeping hold of them [Leibniz]
Things seem to be unified if we see duration, position, interaction and connection [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Total intrinsic properties give us what a thing is [Lewis]
If two individuals could be indistinguishable, there could be no principle of individuation [Leibniz]
The law of the series, which determines future states of a substance, is what individuates it [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
We use things to distinguish places and times, not vice versa [Leibniz]
A body is that which exists in space [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
The laws-of-the-series plays a haecceitist role [Leibniz, by Cover/O'Leary-Hawthorne]
No two things are quite the same, so there must be an internal principle of distinction [Leibniz]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Fluidity is basic, and we divide into bodies according to our needs [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Philosophy needs the precision of the unity given by substances [Leibniz]
Identity of a substance is the law of its persistence [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A body would be endless disunited parts, if it did not have a unifying form or soul [Leibniz]
Accidental unity has degrees, from a mob to a society to a machine or organism [Leibniz]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
We find unity in reason, and unity in perception, but these are not true unity [Leibniz]
Leibniz bases pure primitive entities on conjunctions of qualitative properties [Leibniz, by Adams,RM]
To exist and be understood, a multitude must first be reduced to a unity [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Every substance is alive [Leibniz]
The complete notion of a substance implies all of its predicates or attributes [Leibniz]
A body is a unified aggregate, unless it has an indivisible substance [Leibniz]
Unity needs an indestructible substance, to contain everything which will happen to it [Leibniz]
Every bodily substance must have a soul, or something analogous to a soul [Leibniz]
The concept of forces or powers best reveals the true concept of substance [Leibniz]
The notion of substance is one of the keys to true philosophy [Leibniz]
Individuality is in the bond substance gives between past and future [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
Aggregates don’t reduce to points, or atoms, or illusion, so must reduce to substance [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Substances mirror God or the universe, each from its own viewpoint [Leibniz]
Substances are everywhere in matter, like points in a line [Leibniz]
Substance must necessarily involve progress and change [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Substance is a force for acting and being acted upon [Leibniz]
Leibnizian substances add concept, law, force, form and soul [Leibniz, by Cover/O'Leary-Hawthorne]
Substances cannot be bare, but have activity as their essence [Leibniz]
Substance is that which can act [Leibniz]
Substances are essentially active [Leibniz, by Jolley]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
If a substance is just a thing that has properties, it seems to be a characterless non-entity [Leibniz, by Macdonald,C]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
If cats are vague, we deny that the many cats are one, or deny that the one cat is many [Lewis]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
We can imagine two bodies interpenetrating, as two rays of light seem to [Leibniz]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The essence of baldness is vague and imperfect [Leibniz]
We have one cloud, but many possible boundaries and aggregates for it [Lewis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
We could not uphold a truthmaker for 'Fa' without structures [Lewis]
The 'magical' view of structural universals says they are atoms, even though they have parts [Lewis]
If 'methane' is an atomic structural universal, it has nothing to connect it to its carbon universals [Lewis]
The 'pictorial' view of structural universals says they are wholes made of universals as parts [Lewis]
The structural universal 'methane' needs the universal 'hydrogen' four times over [Lewis]
Butane and Isobutane have the same atoms, but different structures [Lewis]
Structural universals have a necessary connection to the universals forming its parts [Lewis]
We can't get rid of structural universals if there are no simple universals [Lewis]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
Forms are of no value in physics, but are indispensable in metaphysics [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
Leibniz strengthened hylomorphism by connecting it to force in physics [Leibniz, by Garber]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
Form or soul gives unity and duration; matter gives multiplicity and change [Leibniz]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Composition is not just making new things from old; there are too many counterexamples [Lewis]
The many are many and the one is one, so they can't be identical [Lewis]
Lewis affirms 'composition as identity' - that an object is no more than its parts [Lewis, by Merricks]
9. Objects / C. Structure of Objects / 7. Substratum
A 'substratum' is just a metaphor for whatever supports several predicates [Leibniz]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Indivisibles are not parts, but the extrema of parts [Leibniz]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
In mereology no two things consist of the same atoms [Lewis]
A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis]
Trout-turkeys exist, despite lacking cohesion, natural joints and united causal power [Lewis]
Given cats, a fusion of cats adds nothing further to reality [Lewis]
The one has different truths from the many; it is one rather than many, one rather than six [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Lewis prefers giving up singletons to giving up sums [Lewis, by Fine,K]
Mereological composition is unrestricted: any class of things has a mereological sum [Lewis]
There are no restrictions on composition, because they would be vague, and composition can't be vague [Lewis, by Sider]
A whole is distinct from its parts, but is not a further addition in ontology [Lewis]
Different things (a toy house and toy car) can be made of the same parts at different times [Lewis]
Lewis only uses fusions to create unities, but fusions notoriously flatten our distinctions [Oliver/Smiley on Lewis]
A commitment to cat-fusions is not a further commitment; it is them and they are it [Lewis]
I say that absolutely any things can have a mereological fusion [Lewis]
9. Objects / D. Essence of Objects / 1. Essences of Objects
The essence of a circle is the equality of its radii [Leibniz]
Subjects include predicates, so full understanding of subjects reveals all the predicates [Leibniz]
Basic predicates give the complete concept, which then predicts all of the actions [Leibniz]
Essences exist in the divine understanding [Leibniz]
A true being must (unlike a chain) have united parts, with a substantial form as its subject [Leibniz]
Aristotelian essentialism says essences are not relative to specification [Lewis]
9. Objects / D. Essence of Objects / 3. Individual Essences
Particular truths are just instances of general truths [Leibniz]
We can't know individuals, or determine their exact individuality [Leibniz]
9. Objects / D. Essence of Objects / 4. Essence as Definition
Essence is just the possibility of a thing [Leibniz]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Bodies need a soul (or something like it) to avoid being mere phenomena [Leibniz]
A substantial bond of powers is needed to unite composites, in addition to monads [Leibniz]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
The essence is the necessary properties, and the concept includes what is contingent [Leibniz]
An essential property is one possessed by all counterparts [Lewis, by Elder]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
The complete concept of an individual includes contingent properties, as well as necessary ones [Leibniz]
A necessary feature (such as air for humans) is not therefore part of the essence [Leibniz]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
If you fully understand a subject and its qualities, you see how the second derive from the first [Leibniz]
9. Objects / D. Essence of Objects / 9. Essence and Properties
The properties of a thing flow from its essence [Leibniz]
Leibniz's view (that all properties are essential) is extreme essentialism, not its denial [Leibniz, by Mackie,P]
9. Objects / D. Essence of Objects / 10. Essence as Species
Truths about species are eternal or necessary, but individual truths concern what exists [Leibniz]
For some sorts, a member of it is necessarily a member [Leibniz]
9. Objects / D. Essence of Objects / 12. Essential Parts
The same whole ceases to exist if a part is lost [Leibniz]
A composite substance is a mere aggregate if its essence is just its parts [Leibniz]
9. Objects / D. Essence of Objects / 13. Nominal Essence
We have a distinct idea of gold, to define it, but not a perfect idea, to understand it [Leibniz]
If two people apply a single term to different resemblances, they refer to two different things [Leibniz]
Locke needs many instances to show a natural kind, but why not a single instance? [Leibniz, by Jolley]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Essence is the distinct thinkability of anything [Leibniz]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Leibniz was not an essentialist [Leibniz, by Wiggins]
9. Objects / E. Objects over Time / 1. Objects over Time
Changeable accidents are modifications of unchanging essences [Leibniz]
A thing 'perdures' if it has separate temporal parts, and 'endures' if it is wholly present at different times [Lewis]
9. Objects / E. Objects over Time / 2. Objects that Change
Properties cannot be relations to times, if there are temporary properties which are intrinsic [Lewis, by Sider]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
Endurance is the wrong account, because things change intrinsic properties like shape [Lewis]
There are three responses to the problem that intrinsic shapes do not endure [Lewis]
9. Objects / E. Objects over Time / 9. Ship of Theseus
Bodies, like Theseus's ship, are only the same in appearance, and never strictly the same [Leibniz]
9. Objects / E. Objects over Time / 12. Origin as Essential
I can ask questions which create a context in which origin ceases to be essential [Lewis]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Inequality can be brought infinitely close to equality [Leibniz]
9. Objects / F. Identity among Objects / 5. Self-Identity
Identity is simple - absolutely everything is self-identical, and nothing is identical to another thing [Lewis]
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things can never be identical, so there is no problem [Lewis]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Two eggs can't be identical, because the same truths can't apply to both of them [Leibniz]
No two things are totally identical [Leibniz]
Things in different locations are different because they 'express' those locations [Leibniz]
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
There must be some internal difference between any two beings in nature [Leibniz]
9. Objects / F. Identity among Objects / 9. Sameness
Things are the same if one can be substituted for the other without loss of truth [Leibniz]
10. Modality / A. Necessity / 2. Nature of Necessity
Necessary truths are those provable from identities by pure logic in finite steps [Leibniz, by Hacking]
Every necessary proposition is demonstrable to someone who understands [Leibniz]
10. Modality / A. Necessity / 4. De re / De dicto modality
De re modal predicates are ambiguous [Lewis, by Rudder Baker]
10. Modality / A. Necessity / 7. Natural Necessity
The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz]
Causal necessities hold in all worlds compatible with the laws of nature [Lewis]
10. Modality / B. Possibility / 1. Possibility
There is a reason why not every possible thing exists [Leibniz]
How can things be incompatible, if all positive terms seem to be compatible? [Leibniz]
10. Modality / B. Possibility / 5. Contingency
Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]
A reason must be given why contingent beings should exist rather than not exist [Leibniz]
10. Modality / B. Possibility / 6. Probability
Everything has a probability, something will happen, and probabilities add up [PG]
10. Modality / B. Possibility / 7. Chance
We can explain a chance event, but can never show why some other outcome did not occur [Lewis]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
A conditional probability does not measure the probability of the truth of any proposition [Lewis, by Edgington]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Lewis says indicative conditionals are truth-functional [Lewis, by Jackson]
10. Modality / B. Possibility / 9. Counterfactuals
In good counterfactuals the consequent holds in world like ours except that the antecedent is true [Lewis, by Horwich]
For true counterfactuals, both antecedent and consequent true is closest to actuality [Lewis]
Backtracking counterfactuals go from supposed events to their required causal antecedents [Lewis]
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
Some necessary truths are brute, and others derive from final causes [Leibniz]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
A perfect idea of an object shows that the object is possible [Leibniz]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Intelligible truth is independent of any external things or experiences [Leibniz]
Proofs of necessity come from the understanding, where they have their source [Leibniz]
Truths of reason are known by analysis, and are necessary; facts are contingent, and their opposites possible [Leibniz]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
If we understand God and his choices, we have a priori knowledge of contingent truths [Leibniz, by Garber]
Only God sees contingent truths a priori [Leibniz]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
The impossible can be imagined as long as it is a bit vague [Lewis]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
What we cannot imagine may still exist [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Leibniz narrows down God's options to one, by non-contradiction, sufficient reason, indiscernibles, compossibility [Leibniz, by Harré]
Each monad expresses all its compatible monads; a possible world is the resulting equivalence class [Leibniz, by Rumfitt]
Leibniz proposed possible worlds, because they might be evil, where God would not create evil things [Leibniz, by Stewart,M]
The actual universe is the richest composite of what is possible [Leibniz]
There may be a world where dogs smell their game at a thousand leagues [Leibniz]
There are no free-floating possibilia; they have mates in a world, giving them extrinsic properties [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
On mountains or in worlds, reporting contradictions is contradictory, so no such truths can be reported [Lewis]
Possible worlds can contain contradictions if such worlds are seen as fictions [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
For Lewis there is no real possibility, since all possibilities are actual [Oderberg on Lewis]
Lewis posits possible worlds just as Quine says that physics needs numbers and sets [Lewis, by Sider]
For me, all worlds are equal, with each being actual relative to itself [Lewis]
If possible worlds really exist, then they are part of actuality [Sider on Lewis]
A world is a maximal mereological sum of spatiotemporally interrelated things [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
The actual world is just the world you are in [Lewis, by Cappelen/Dever]
Lewis can't know possible worlds without first knowing what is possible or impossible [Lycan on Lewis]
What are the ontological grounds for grouping possibilia into worlds? [Lycan on Lewis]
Lewis rejects actualism because he identifies properties with sets [Lewis, by Stalnaker]
Ersatzers say we have one world, and abstract representations of how it might have been [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Ersatz worlds represent either through language, or by models, or magically [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Linguistic possible worlds need a complete supply of unique names for each thing [Lewis]
Maximal consistency for a world seems a modal distinction, concerning what could be true together [Lewis]
Linguistic possible worlds have problems of inconsistencies, no indiscernibles, and vocabulary [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / c. Worlds as propositions
If sets exist, then defining worlds as proposition sets implies an odd distinction between existing and actual [Jacquette on Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
If varieties of myself can be conceived of as distinct from me, then they are not me [Leibniz]
If someone's life went differently, then that would be another individual [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
It doesn't take the whole of a possible Humphrey to win the election [Lewis]
A logically determinate name names the same thing in every possible world [Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Leibniz has a counterpart view of de re counterfactuals [Leibniz, by Cover/O'Leary-Hawthorne]
The counterpart relation is sortal-relative, so objects need not be a certain way [Lewis, by Merricks]
Why should statements about what my 'counterpart' could have done interest me? [Mautner on Lewis]
A counterpart in a possible world is sufficiently similar, and more similar than anything else [Lewis, by Mautner]
In counterpart theory 'Humphrey' doesn't name one being, but a mereological sum of many beings [Lewis]
Counterpart theory is bizarre, as no one cares what happens to a mere counterpart [Kripke on Lewis]
Counterparts are not the original thing, but resemble it more than other things do [Lewis]
If the closest resembler to you is in fact quite unlike you, then you have no counterpart [Lewis]
Essential attributes are those shared with all the counterparts [Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Leibniz is some form of haecceitist [Leibniz, by Cover/O'Leary-Hawthorne]
Extreme haecceitists could say I might have been a poached egg, but it is too remote to consider [Lewis, by Mackie,P]
Haecceitism implies de re differences but qualitative identity [Lewis]
Extreme haecceitism says you might possibly be a poached egg [Lewis]
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
Perfect knowledge implies complete explanations and perfect prediction [Leibniz]
11. Knowledge Aims / A. Knowledge / 2. Understanding
For Leibniz, divine understanding grasps every conceivable possibility [Leibniz, by Perkins]
We understand things when they are distinct, and we can derive necessities from them [Leibniz]
Understanding grasps the agreements and disagreements of ideas [Leibniz]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
A content is a property, and believing it is self-ascribing that property [Lewis, by Recanati]
The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Certainty is where practical doubt is insane, or at least blameworthy [Leibniz]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I cannot think my non-existence, nor exist without being myself [Leibniz]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
I can't just know myself to be a substance; I must distinguish myself from others, which is hard [Leibniz]
I know more than I think, since I know I think A then B then C [Leibniz]
The Cogito doesn't prove existence, because 'I am thinking' already includes 'I am' [Leibniz]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
If reality is just what we perceive, we would have no need for a sixth sense [PG]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
If we are dreaming, it is sufficient that the events are coherent, and obey laws [Leibniz]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
A whole is just its parts, but there are no smallest parts, so only minds and perceptions exist [Leibniz]
Leibniz said dualism of mind and body is illusion, and there is only mind [Leibniz, by Martin/Barresi]
Leibniz is an idealist insofar as the basic components of his universe are all mental [Leibniz, by Jolley]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Descartes needs to demonstrate how other people can attain his clear and distinct conceptions [Leibniz]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
All of our thoughts come from within the soul, and not from the senses [Leibniz]
Arithmetic and geometry are implicitly innate, awaiting revelation [Leibniz]
Children learn language fast, with little instruction and few definitions [Leibniz]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
What is left of the 'blank page' if you remove the ideas? [Leibniz]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
Mathematical analysis ends in primitive principles, which cannot be and need not be demonstrated [Leibniz]
An a priori proof is independent of experience [Leibniz]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
If my team is losing 3-1, I have synthetic a priori knowledge that they need two goals for a draw [PG]
12. Knowledge Sources / B. Perception / 1. Perception
'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz]
Not all of perception is accompanied by consciousness [Leibniz]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Some say qualities are parts of things - as repeatable universals, or as particulars [Lewis]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
We know objects by perceptions, but their qualities don't reveal what it is we are perceiving [Leibniz]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / e. Primary/secondary critique
Light, heat and colour are apparent qualities, and so are motion, figure and extension [Leibniz]
Colour and pain must express the nature of their stimuli, without exact resemblance [Leibniz]
12. Knowledge Sources / B. Perception / 3. Representation
A pain doesn't resemble the movement of a pin, but it resembles the bodily movement pins cause [Leibniz]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Truth arises among sensations from grounding reasons and from regularities [Leibniz]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
We only believe in sensible things when reason helps the senses [Leibniz]
You may experience a universal truth, but only reason can tell you that it is always true [Leibniz]
The senses are confused, and necessities come from distinct intellectual ideas [Leibniz]
We all expect the sun to rise tomorrow by experience, but astronomers expect it by reason [Leibniz]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
There is nothing in the understanding but experiences, plus the understanding itself, and the understander [Leibniz]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Knowledge doesn't just come from the senses; we know the self, substance, identity, being etc. [Leibniz]
Our sensation of green is a confused idea, like objects blurred by movement [Leibniz]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
Justification is neither sufficient nor necessary for knowledge [Lewis]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Nothing should be taken as certain without foundations [Leibniz]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
Our thoughts are either dependent, or self-evident. All thoughts seem to end in the self-evident [Leibniz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz]
13. Knowledge Criteria / C. External Justification / 2. Causal Justification
General causal theories of knowledge are refuted by mathematics [Lewis]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S]
We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Light takes time to reach us, so objects we see may now not exist [Leibniz]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
Truth is mutually agreed perception [Leibniz]
14. Science / A. Basis of Science / 4. Prediction
Successful prediction shows proficiency in nature [Leibniz]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
The Ramsey sentence of a theory says that it has at least one realisation [Lewis]
A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis]
There is a method for defining new scientific terms just using the terms we already understand [Lewis]
It is better to have one realisation of a theory than many - but it may not always be possible [Lewis]
14. Science / C. Induction / 2. Aims of Induction
Hypotheses come from induction, which is comparison of experiences [Leibniz]
Induction is just reasonable methods of inferring the unobserved from the observed [Lewis]
14. Science / C. Induction / 3. Limits of Induction
The instances confirming a general truth are never enough to establish its necessity [Leibniz]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
To just expect unexamined emeralds to be grue would be totally unreasonable [Lewis]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Does a good explanation produce understanding? That claim is just empty [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Nature is explained by mathematics and mechanism, but the laws rest on metaphysics [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Science may well pursue generalised explanation, rather than laws [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
A good explanation is supposed to show that the event had to happen [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
An explanation tells us how an event was caused [Lewis]
Minds are best explained by their ends, and bodies by efficient causes [Leibniz]
Lewis endorses the thesis that all explanation of singular events is causal explanation [Lewis, by Psillos]
Often explanaton seeks fundamental laws, rather than causal histories [Lewis]
To explain an event is to provide some information about its causal history [Lewis]
14. Science / D. Explanation / 2. Types of Explanation / h. Explanations by function
Final causes can help with explanations in physics [Leibniz]
To explain a house we must describe its use, as well as its parts [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
To fully conceive the subject is to explain the resulting predicates and events [Leibniz]
The cause of a change is not the real influence, but whatever gives a reason for the change [Leibniz]
The essence of substance is the law of its changes, as in the series of numbers [Leibniz]
We will only connect our various definitions of gold when we understand it more deeply [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / l. Probabilistic explanations
If the well-ordering of a pack of cards was by shuffling, the explanation would make it more surprising [Lewis]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Nature can be fully explained by final causes alone, or by efficient causes alone [Leibniz]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Mind is a thinking substance which can know God and eternal truths [Leibniz]
A mind is an organ of representation [Lewis]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
No machine or mere organised matter could have a unified self [Leibniz]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
It seems probable that animals have souls, but not consciousness [Leibniz]
Animal thought is a shadow of reasoning, connecting sequences of images by imagination [Leibniz]
Animals are semi-rational because they connect facts, but they don't see causes [Leibniz]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Leibniz introduced the idea of degrees of consciousness, essential for his monads [Leibniz, by Perkins]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
It is a serious mistake to think that we are aware of all of our perceptions [Leibniz]
The soul doesn't understand many of its own actions, if perceptions are confused and desires buried [Leibniz]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Increase a conscious machine to the size of a mill - you still won't see perceptions in it [Leibniz]
15. Nature of Minds / B. Features of Minds / 5. Qualia / a. Nature of qualia
Part of the folk concept of qualia is what makes recognition and comparison possible [Lewis]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Maybe abstraction is just mereological subtraction [Lewis]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
Abstraction attends to the general, not the particular, and involves universal truths [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Active force is not just potential for action, since it involves a real effort or striving [Leibniz]
Volition automatically endeavours to move towards what it sees as good (and away from bad) [Leibniz]
Primitive forces are internal strivings of substances, acting according to their internal laws [Leibniz]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We know the 'I' and its contents by abstraction from awareness of necessary truths [Leibniz]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
If a person's memories became totally those of the King of China, he would be the King of China [Leibniz]
Memory doesn't make identity; a man who relearned everything would still be the same man [Leibniz]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
We know our own identity by psychological continuity, even if there are some gaps [Leibniz]
16. Persons / F. Free Will / 1. Nature of Free Will
Future contingent events are certain, because God foresees them, but that doesn't make them necessary [Leibniz]
16. Persons / F. Free Will / 5. Against Free Will
If we know what is good or rational, our knowledge is extended, and our free will restricted [Leibniz]
Saying we must will whatever we decide to will leads to an infinite regress [Leibniz]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
People argue for God's free will, but it isn't needed if God acts in perfection following supreme reason [Leibniz]
We think we are free because the causes of the will are unknown; determinism is a false problem [Leibniz]
Determinism says there can't be two identical worlds up to a time, with identical laws, which then differ [Lewis]
16. Persons / F. Free Will / 6. Determinism / b. Fate
Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz]
16. Persons / F. Free Will / 7. Compatibilism
Everything which happens is not necessary, but is certain after God chooses this universe [Leibniz]
The will determines action, by what is seen as good, but it does not necessitate it [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Soul represents body, but soul remains unchanged, while body continuously changes [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 3. Panpsychism
Every body contains a kind of sense and appetite, or a soul [Leibniz]
Leibniz has a panpsychist view that physical points are spiritual [Leibniz, by Martin/Barresi]
Something rather like souls (though not intelligent) could be found everywhere [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
Mind and body can't influence one another, but God wouldn't intervene in the daily routine [Leibniz]
Occasionalism give a false view of natural laws, miracles, and substances [Leibniz, by Jolley]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Assume that mind and body follow their own laws, but God has harmonised them [Leibniz]
Maybe mind and body are parallel, like two good clocks [Leibniz]
The soul does know bodies, although they do not influence one another [Leibniz]
We should say that body is mechanism and soul is immaterial, asserting their independence [Leibniz]
Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz]
Perfections of soul subordinate the body, but imperfections of soul submit to the body [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 7. Zombies
It's impossible, but imagine a body carrying on normally, but with no mind [Leibniz]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
Experiences are defined by their causal role, and causal roles belong to physical states [Lewis]
'Pain' contingently names the state that occupies the causal role of pain [Lewis]
Type-type psychophysical identity is combined with a functional characterisation of pain [Lewis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Human pain might be one thing; Martian pain might be something else [Lewis]
The application of 'pain' to physical states is non-rigid and contingent [Lewis]
Psychophysical identity implies the possibility of idealism or panpsychism [Lewis]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
I am a reductionist about mind because I am an a priori reductionist about everything [Lewis]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
A theory must be mixed, to cover qualia without behaviour, and behaviour without qualia [Lewis, by PG]
Maybe a mollusc's brain events for pain ARE of the same type (broadly) as a human's [PG]
Maybe a frog's brain events for fear are functionally like ours, but not phenomenally [PG]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Attitudes involve properties (not propositions), and belief is self-ascribing the properties [Lewis, by Solomon]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Passions reside in confused perceptions [Leibniz]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Every feeling is the perception of a truth [Leibniz]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology makes good predictions, by associating mental states with causal roles [Lewis]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Lewis's popular centred worlds approach gives an attitude an index of world, subject and time [Lewis, by Recanati]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Folk psychology doesn't say that there is a language of thought [Lewis]
18. Thought / C. Content / 2. Ideas
By an 'idea' I mean not an actual thought, but the resources we can draw on to think [Leibniz]
True ideas represent what is possible; false ideas represent contradictions [Leibniz]
An idea is an independent inner object, which expresses the qualities of things [Leibniz]
Thoughts correspond to sensations, but ideas are independent of thoughts [Leibniz]
We must distinguish images from exact defined ideas [Leibniz]
The idea of green seems simple, but it must be compounded of the ideas of blue and yellow [Leibniz]
18. Thought / C. Content / 6. Broad Content
The name 'gold' means what we know of gold, and also further facts about it which only others know [Leibniz]
The word 'gold' means a hidden constitution known to experts, and not just its appearances [Leibniz]
If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis]
Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis]
A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis]
Wide content derives from narrow content and relationships with external things [Lewis]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are what unite a proposition [Leibniz]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Concepts are ordered, and show eternal possibilities, deriving from God [Leibniz, by Arthur,R]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
Our notions may be formed from concepts, but concepts are formed from things [Leibniz]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstraction is usually explained either by example, or conflation, or abstraction, or negatively [Lewis]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Universals are just abstractions by concealing some of the circumstances [Leibniz]
The Way of Abstraction says an incomplete description of a concrete entity is the complete abstraction [Lewis]
18. Thought / E. Abstraction / 4. Abstracta by Example
The Way of Example compares donkeys and numbers, but what is the difference, and what are numbers? [Lewis]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
Abstracta can be causal: sets can be causes or effects; there can be universal effects; events may be sets [Lewis]
If abstractions are non-spatial, then both sets and universals seem to have locations [Lewis]
If we can abstract the extrinsic relations and features of objects, abstraction isn't universals or tropes [Lewis]
If universals or tropes are parts of things, then abstraction picks out those parts [Lewis]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
For most sets, the concept of equivalence is too artificial to explain abstraction [Lewis]
The abstract direction of a line is the equivalence class of it and all lines parallel to it [Lewis]
Mathematicians abstract by equivalence classes, but that doesn't turn a many into one [Lewis]
18. Thought / E. Abstraction / 8. Abstractionism Critique
We can't account for an abstraction as 'from' something if the something doesn't exist [Lewis]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A theory of perspectival de se content gives truth conditions relative to an agent [Lewis, by Cappelen/Dever]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Leibniz was the first modern to focus on sentence-sized units (where empiricists preferred word-size) [Leibniz, by Hart,WD]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
A particular functional role is what gives content to a thought [Lewis]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Causal theories of reference make errors in reference easy [Lewis]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Descriptive theories remain part of the theory of reference (with seven mild modifications) [Lewis]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
A proposition is a set of possible worlds where it is true [Lewis]
A proposition is a set of entire possible worlds which instantiate a particular property [Lewis]
A proposition is the property of being a possible world where it holds true [Lewis]
Propositions can't have syntactic structure if they are just sets of worlds [Lewis]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
We need natural properties in order to motivate the principle of charity [Lewis]
A sophisticated principle of charity sometimes imputes error as well as truth [Lewis]
Basic to pragmatics is taking a message in a way that makes sense of it [Lewis]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The idea of the will includes the understanding [Leibniz]
Will is an inclination to pursue something good [Leibniz]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Limited awareness leads to bad choices, and unconscious awareness makes us choose the bad [Leibniz, by Perkins]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
If would be absurd not to disagree with someone's taste if it was a taste for poisons [Leibniz]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Leibniz identified beauty with intellectual perfection [Leibniz, by Gardner]
Beauty increases with familiarity [Leibniz]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music charms, although its beauty is the harmony of numbers [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Animals lack morality because they lack self-reflection [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Humans are moral, and capable of reward and punishment, because of memory and self-consciousness [Leibniz, by Jolley]
22. Metaethics / B. Value / 2. Values / e. Death
Death is just the contraction of an animal [Leibniz]
Death and generation are just transformations of an animal, augmented or diminished [Leibniz]
Most people facing death would happily re-live a similar life, with just a bit of variety [Leibniz]
22. Metaethics / B. Value / 2. Values / g. Love
Love is pleasure in the perfection, well-being or happiness of its object [Leibniz]
22. Metaethics / B. Value / 2. Values / j. Evil
Metaphysical evil is imperfection; physical evil is suffering; moral evil is sin [Leibniz]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The good is the virtuous, the pleasing, or the useful [Leibniz]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
You can't assess moral actions without referring to the qualities of character that produce them [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is advancement towards perfection [Leibniz]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Supreme human happiness is the greatest possible increase of his perfection [Leibniz]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Intelligent pleasure is the perception of beauty, order and perfection [Leibniz]
Pleasure is a sense of perfection [Leibniz]
23. Ethics / B. Contract Ethics / 2. Golden Rule
We can't want everyone to have more than their share, so a further standard is needed [Leibniz]
23. Ethics / D. Deontological Ethics / 1. Deontology
We want good education and sociability, rather than lots of moral precepts [Leibniz]
23. Ethics / E. Utilitarianism / 4. Unfairness
Utilitarianism seems to justify the discreet murder of unhappy people [PG]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law theory is found in Aquinas, in Leibniz, and at the Nuremberg trials [Leibniz, by Jolley]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
There are natural rewards and punishments, like illness after over-indulgence [Leibniz]
26. Natural Theory / A. Speculations on Nature / 1. Nature
The principle of determination in things obtains the greatest effect with the least effort [Leibniz]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / b. Limited purposes
A machine is best defined by its final cause, which explains the roles of the parts [Leibniz]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter is nothing when it is at rest [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
The true elements are atomic monads [Leibniz]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
The only simple things are monads, with no parts or extension [Leibniz]
I think the corpuscular theory, rather than forms or qualities, best explains particular phenomena [Leibniz]
Leibniz rejected atoms, because they must be elastic, and hence have parts [Leibniz, by Garber]
Atomism is irrational because it suggests that two atoms can be indistinguishable [Leibniz]
Microscopes and the continuum suggest that matter is endlessly divisible [Leibniz]
There are atoms of substance, but no atoms of bulk or extension [Leibniz]
Things are infinitely subdivisible and contain new worlds, which atoms would make impossible [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Leibniz struggled to reconcile bodies with a reality of purely soul-like entities [Jolley on Leibniz]
Secondary matter is active and complete; primary matter is passive and incomplete [Leibniz]
Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz]
Every particle of matter contains organic bodies [Leibniz]
Bare or primary matter is passive; it is clothed or secondary matter which contains action [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Leibniz eventually said resistance, rather than extension, was the essence of body [Leibniz, by Pasnau]
Even if extension is impenetrable, this still offers no explanation for motion and its laws [Leibniz]
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]
26. Natural Theory / C. Causation / 2. Types of cause
In the schools the Four Causes are just lumped together in a very obscure way [Leibniz]
Explaining match lighting in general is like explaining one lighting of a match [Lewis]
26. Natural Theory / C. Causation / 3. Final causes
Power rules in efficient causes, but wisdom rules in connecting them to final causes [Leibniz]
26. Natural Theory / C. Causation / 5. Direction of causation
A theory of causation should explain why cause precedes effect, not take it for granted [Lewis, by Field,H]
I reject making the direction of causation axiomatic, since that takes too much for granted [Lewis]
There are few traces of an event before it happens, but many afterwards [Lewis, by Horwich]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
It is just individious discrimination to pick out one cause and label it as 'the' cause [Lewis]
The modern regularity view says a cause is a member of a minimal set of sufficient conditions [Lewis]
We only pick 'the' cause for the purposes of some particular enquiry. [Lewis]
Ways of carving causes may be natural, but never 'right' [Lewis]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Regularity analyses could make c an effect of e, or an epiphenomenon, or inefficacious, or pre-empted [Lewis]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The counterfactual view says causes are necessary (rather than sufficient) for their effects [Lewis, by Bird]
Lewis has basic causation, counterfactuals, and a general ancestral (thus handling pre-emption) [Lewis, by Bird]
Counterfactual causation implies all laws are causal, which they aren't [Tooley on Lewis]
My counterfactual analysis applies to particular cases, not generalisations [Lewis]
One event causes another iff there is a causal chain from first to second [Lewis]
Counterfactuals 'backtrack' if a different present implies a different past [Lewis]
Causal dependence is counterfactual dependence between events [Lewis]
Causal counterfactuals must avoid backtracking, to avoid epiphenomena and preemption [Lewis]
Causation is when at the closest world without the cause, there is no effect either [Lewis]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz]
Causes can be inferred from perfect knowledge of their effects [Leibniz]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Each possible world contains its own laws, reflected in the possible individuals of that world [Leibniz]
God's laws would be meaningless without internal powers for following them [Leibniz]
An entelechy is a law of the series of its event within some entity [Leibniz]
Physics aims for a list of natural properties [Lewis]
Physics discovers laws and causal explanations, and also the natural properties required [Lewis]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis]
A number of systematizations might tie as the best and most coherent system [Mumford on Lewis]
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
A law of nature is a general axiom of the deductive system that is best for simplicity and strength [Lewis]
Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford]
A law of nature is any regularity that earns inclusion in the ideal system [Lewis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
If there is some trace of God in things, that would explain their natural force [Leibniz]
Qualities should be predictable from the nature of the subject [Leibniz]
Gold has a real essence, unknown to us, which produces its properties [Leibniz]
Part of our idea of gold is its real essence, which is not known to us in detail [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Each of the infinite possible worlds has its own laws, and the individuals contain those laws [Leibniz]
Leibniz wanted to explain motion and its laws by the nature of body [Leibniz, by Garber]
The law within something fixes its persistence, and accords with general laws of nature [Leibniz]
In addition to laws, God must also create appropriate natures for things [Leibniz]
Gravity is within matter because of its structure, and it can be explained. [Leibniz]
The only permanence in things, constituting their substance, is a law of continuity [Leibniz]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
An event causes another just if the second event would not have happened without the first [Lewis, by Psillos]
Lewis's account of counterfactuals is fine if we know what a law of nature is, but it won't explain the latter [Cohen,LJ on Lewis]
26. Natural Theory / D. Laws of Nature / 10. Closure of Physics
Leibniz had an unusual commitment to the causal completeness of physics [Leibniz, by Papineau]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The world is just a vast mosaic of little matters of local particular fact [Lewis]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Bodies are recreated in motion, and don't exist in intervening instants [Leibniz]
All that is real in motion is the force or power which produces change [Leibniz]
Maybe motion is definable as 'change of place' [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
All qualities of bodies reduce to forces [Leibniz]
Motion alone is relative, but force is real, and establishes its subject [Leibniz]
Leibniz uses 'force' to mean both activity and potential [Leibniz]
Clearly, force is that from which action follows, when unimpeded [Leibniz]
We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]
It is plausible to think substances contain the same immanent force seen in our free will [Leibniz]
Power is passive force, which is mass, and active force, which is entelechy or form [Leibniz]
The force behind motion is like a soul, with its own laws of continual change [Leibniz]
Force in substance makes state follow state, and ensures the very existence of substance [Leibniz]
Some people return to scholastic mysterious qualities, disguising them as 'forces' [Leibniz]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / c. Conservation of energy
Leibniz upheld conservations of momentum and energy [Leibniz, by Papineau]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
Motion is not absolute, but consists in relation [Leibniz]
27. Natural Reality / C. Space / 2. Space
Space is the order of coexisting possibles [Leibniz]
27. Natural Reality / C. Space / 4. Substantival Space
The idea that the universe could be moved forward with no other change is just a fantasy [Leibniz]
27. Natural Reality / C. Space / 5. Relational Space
Space is an order among actual and possible things [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time is the order of inconsistent possibilities [Leibniz]
Space and time are purely relative [Leibniz]
Space and time are the order of all possibilities, and don't just relate to what is actual [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
If there were duration without change, we could never establish its length [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
It is quite implausible that the future is unreal, as that would terminate everything [Lewis]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
No time exists except instants, and instants are not even a part of time, so time does not exist [Leibniz]
Time doesn't exist, since its parts don't coexist [Leibniz]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
If everything in the universe happened a year earlier, there would be no discernible difference [Leibniz]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
When one element contains the grounds of the other, the first one is prior in time [Leibniz]
27. Natural Reality / D. Time / 2. Passage of Time / j. Time travel
The interesting time travel is when personal and external time come apart [Lewis, by Baron/Miller]
Lewis said it might just be that travellers to the past can't kill their grandfathers [Lewis, by Baron/Miller]
27. Natural Reality / G. Biology / 2. Life
To regard animals as mere machines may be possible, but seems improbable [Leibniz]
Life is Movement, Respiration, Sensation, Nutrition, Excretion, Reproduction, Growth (MRS NERG) [PG]
27. Natural Reality / G. Biology / 3. Evolution
Men are related to animals, which are related to plants, then to fossils, and then to the apparently inert [Leibniz]
28. God / A. Divine Nature / 2. Divine Nature
God's essence is the source of possibilities, and his will the source of existents [Leibniz]
God must be intelligible, to select the actual world from the possibilities [Leibniz]
God produces possibilities, and thus ideas [Leibniz]
28. God / A. Divine Nature / 3. Divine Perfections
God does everything in a perfect way, and never acts contrary to reason [Leibniz]
A perfection is a simple quality, which is positive and absolute, and has no limit [Leibniz]
The intelligent cause must be unique and all-perfect, to handle all the interconnected possibilities [Leibniz]
This is the most perfect possible universe, in its combination of variety with order [Leibniz]
The universe contains everything possible for its perfect harmony [Leibniz]
Perfection is simply quantity of reality [Leibniz]
28. God / A. Divine Nature / 4. Divine Contradictions
Perfections must have overlapping parts if their incompatibility is to be proved [Leibniz]
How could God know there wasn't an unknown force controlling his 'free' will? [PG]
An omniscient being couldn't know it was omniscient, as that requires information from beyond its scope of knowledge [PG]
28. God / A. Divine Nature / 5. God and Time
If time were absolute that would make God's existence dependent on it [Leibniz, by Bardon]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
God prefers men to lions, but might not exterminate lions to save one man [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
If justice is arbitrary, or fixed but not observed, or not human justice, this undermines God [Leibniz]
28. God / B. Proving God / 1. Proof of God
Without the principle of sufficient reason, God's existence could not be demonstrated [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
God is the first reason of things; our experiences are contingent, and contain no necessity [Leibniz]
God's existence is either necessary or impossible [Leibniz, by Scruton]
The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]
God alone (the Necessary Being) has the privilege that He must exist if He is possible [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
The existence of God, and all metaphysics, follows from the Principle of Sufficient Reason [Leibniz]
Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
If the universe is a perfect agreement of uncommunicating substances, there must be a common source [Leibniz]
All substances are in harmony, even though separate, so they must have one divine cause [Leibniz]
The laws of physics are wonderful evidence of an intelligent and free being [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
Allow no more miracles than are necessary [Leibniz]
Everything, even miracles, belongs to order [Leibniz]
Miracles are extraordinary operations by God, but are nevertheless part of his design [Leibniz]
28. God / C. Attitudes to God / 2. Pantheism
To say that nature or the one universal substance is God is a pernicious doctrine [Leibniz]
28. God / C. Attitudes to God / 5. Atheism
Leibniz was closer than Spinoza to atheism [Leibniz, by Stewart,M]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Prayers are useful, because God foresaw them in his great plan [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Immortality without memory is useless [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The soul is indestructible and always self-aware [Leibniz]
29. Religion / D. Religious Issues / 2. Immortality / c. Animal Souls
Animals have thought and sensation, and indestructible immaterial souls [Leibniz]
Animals have souls, but lack consciousness [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Evil is a negation of good, which arises from non-being [Leibniz]
God only made sin possible because a much greater good can be derived from it [Leibniz]
How can an all-good, wise and powerful being allow evil, sin and apparent injustice? [Leibniz]
Being confident of God's goodness, we disregard the apparent local evils in the visible world [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
God doesn't decide that Adam will sin, but that sinful Adam's existence is to be preferred [Leibniz]
Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz]