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All the ideas for 'works', 'The Concept of Truth for Formalized Languages' and 'Categories'

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102 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Without extensive examination firm statements are hard, but studying the difficulties is profitable [Aristotle]
2. Reason / A. Nature of Reason / 2. Logos
For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle]
2. Reason / B. Laws of Thought / 4. Contraries
The contrary of good is bad, but the contrary of bad is either good or another evil [Aristotle]
Both sides of contraries need not exist (as health without sickness, white without black) [Aristotle]
2. Reason / D. Definition / 4. Real Definition
Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine]
2. Reason / D. Definition / 5. Genus and Differentia
Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The differentiae of genera which are different are themselves different in kind [Aristotle]
3. Truth / A. Truth Problems / 2. Defining Truth
Tarski proved that truth cannot be defined from within a given theory [Tarski, by Halbach]
Tarski proved that any reasonably expressive language suffers from the liar paradox [Tarski, by Horsten]
'True sentence' has no use consistent with logic and ordinary language, so definition seems hopeless [Tarski]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
A true existence statement has its truth caused by the existence of the thing [Aristotle]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Tarski's Theorem renders any precise version of correspondence impossible [Tarski, by Halbach]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / a. Tarski's truth definition
Tarski gave up on the essence of truth, and asked how truth is used, or how it functions [Tarski, by Horsten]
Tarski did not just aim at a definition; he also offered an adequacy criterion for any truth definition [Tarski, by Halbach]
Tarski enumerates cases of truth, so it can't be applied to new words or languages [Davidson on Tarski]
Tarski define truths by giving the extension of the predicate, rather than the meaning [Davidson on Tarski]
Tarski made truth relative, by only defining truth within some given artificial language [Tarski, by O'Grady]
Tarski has to avoid stating how truths relate to states of affairs [Kirkham on Tarski]
Tarskian semantics says that a sentence is true iff it is satisfied by every sequence [Tarski, by Hossack]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Truth only applies to closed formulas, but we need satisfaction of open formulas to define it [Burgess on Tarski]
Tarski uses sentential functions; truly assigning the objects to variables is what satisfies them [Tarski, by Rumfitt]
We can define the truth predicate using 'true of' (satisfaction) for variables and some objects [Tarski, by Horsten]
For physicalism, reduce truth to satisfaction, then define satisfaction as physical-plus-logic [Tarski, by Kirkham]
Insight: don't use truth, use a property which can be compositional in complex quantified sentence [Tarski, by Kirkham]
Tarski gave axioms for satisfaction, then derived its explicit definition, which led to defining truth [Tarski, by Davidson]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Tarski made truth respectable, by proving that it could be defined [Tarski, by Halbach]
Tarski defined truth for particular languages, but didn't define it across languages [Davidson on Tarski]
Tarski didn't capture the notion of an adequate truth definition, as Convention T won't prove non-contradiction [Halbach on Tarski]
Tarski says that his semantic theory of truth is completely neutral about all metaphysics [Tarski, by Haack]
Physicalists should explain reference nonsemantically, rather than getting rid of it [Tarski, by Field,H]
A physicalist account must add primitive reference to Tarski's theory [Field,H on Tarski]
Tarski had a theory of truth, and a theory of theories of truth [Tarski, by Read]
Tarski's 'truth' is a precise relation between the language and its semantics [Tarski, by Walicki]
Tarskian truth neglects the atomic sentences [Mulligan/Simons/Smith on Tarski]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
Tarski's had the first axiomatic theory of truth that was minimally adequate [Tarski, by Horsten]
Tarski defined truth, but an axiomatisation can be extracted from his inductive clauses [Tarski, by Halbach]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Predications of predicates are predications of their subjects [Aristotle]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Identity is invariant under arbitrary permutations, so it seems to be a logical term [Tarski, by McGee]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
A name denotes an object if the object satisfies a particular sentential function [Tarski]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Tarski built a compositional semantics for predicate logic, from dependent satisfactions [Tarski, by McGee]
Tarksi invented the first semantics for predicate logic, using this conception of truth [Tarski, by Kirkham]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
The object language/ metalanguage distinction is the basis of model theory [Tarski, by Halbach]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Tarski avoids the Liar Paradox, because truth cannot be asserted within the object language [Tarski, by Fisher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One is prior to two, because its existence is implied by two [Aristotle]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Parts of a line join at a point, so it is continuous [Aristotle]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Tarski's theory of truth shifted the approach away from syntax, to set theory and semantics [Feferman/Feferman on Tarski]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Primary being must be more than mere indeterminate ultimate subject of predication [Politis on Aristotle]
7. Existence / B. Change in Existence / 1. Nature of Change
There are six kinds of change: generation, destruction, increase, diminution, alteration, change of place [Aristotle]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
A thing is prior to another if it implies its existence [Aristotle]
Of interdependent things, the prior one causes the other's existence [Aristotle]
7. Existence / E. Categories / 3. Proposed Categories
There are ten basic categories for thinking about things [Aristotle]
The categories (substance, quality, quantity, relation, action, passion, place, time) peter out inconsequentially [Benardete,JA on Aristotle]
Substance,Quantity,Quality,Relation,Place,Time,Being-in-a-position,Having,Doing,Being affected [Aristotle, by Westerhoff]
7. Existence / E. Categories / 4. Category Realism
Aristotle derived categories as answers to basic questions about nature, size, quality, location etc. [Aristotle, by Gill,ML]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Aristotle said relations are not substances, so (if they exist) they must be accidents [Aristotle, by Heil]
8. Modes of Existence / B. Properties / 2. Need for Properties
Aristotle promoted the importance of properties and objects (rather than general and particular) [Aristotle, by Frede,M]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Some things said 'of' a subject are not 'in' the subject [Aristotle]
We call them secondary 'substances' because they reveal the primary substances [Aristotle]
8. Modes of Existence / B. Properties / 9. Qualities
Four species of quality: states, capacities, affects, and forms [Aristotle, by Pasnau]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
Colour must be in an individual body, or it is not embodied [Aristotle]
9. Objects / A. Existence of Objects / 1. Physical Objects
Aristotle gave up his earlier notion of individuals, because it relied on universals [Aristotle, by Frede,M]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus and species are substances, because only they reveal the primary substance [Aristotle, by Wedin]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substances have no opposites, and don't come in degrees (including if the substance is a man) [Aristotle]
Is primary substance just an ultimate subject, or some aspect of a complex body? [Aristotle, by Gill,ML]
Primary being is 'that which lies under', or 'particular substance' [Aristotle, by Politis]
A single substance can receive contrary properties [Aristotle]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
A 'primary' substance is in each subject, with species or genera as 'secondary' substances [Aristotle]
Secondary substances do have subjects, so they are not ultimate in the ontology [Aristotle, by Frede,M]
In earlier Aristotle the substances were particulars, not kinds [Aristotle, by Lawson-Tancred]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
Earlier Aristotle had objects as primary substances, but later he switched to substantial form [Aristotle, by Lowe]
Things are called 'substances' because they are subjects for everything else [Aristotle]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki]
9. Objects / D. Essence of Objects / 3. Individual Essences
A primary substance reveals a 'this', which is an individual unit [Aristotle]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Primary substances are ontological in 'Categories', and explanatory in 'Metaphysics' [Aristotle, by Wedin]
9. Objects / F. Identity among Objects / 5. Self-Identity
Aristotle denigrates the category of relation, but for modern absolutists self-relation is basic [Benardete,JA on Aristotle]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The notion of a priori truth is absent in Aristotle [Aristotle, by Politis]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML]
14. Science / B. Scientific Theories / 1. Scientific Theory
Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung]
18. Thought / A. Modes of Thought / 5. Rationality / c. Animal rationality
Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji]
19. Language / C. Assigning Meanings / 3. Predicates
Only what can be said of many things is a predicable [Aristotle, by Wedin]
Some predicates signify qualification of a substance, others the substance itself [Aristotle]
19. Language / E. Analyticity / 2. Analytic Truths
The notion of analytic truth is absent in Aristotle [Aristotle, by Politis]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
Taste is the capacity to judge an object or representation which is thought to be beautiful [Tarski, by Schellekens]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
It is not possible for fire to be cold or snow black [Aristotle]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Change goes from possession to loss (as in baldness), but not the other way round [Aristotle]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus]