Combining Philosophers

All the ideas for Boethius, Trenton Merricks and Ian Rumfitt

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153 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Empirical investigation can't discover if holes exist, or if two things share a colour [Merricks]
2. Reason / E. Argument / 1. Argument
Arguers often turn the opponent's modus ponens into their own modus tollens [Merricks]
3. Truth / A. Truth Problems / 1. Truth
The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
A ground must be about its truth, and not just necessitate it [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Truthmaker needs truths to be 'about' something, and that is often unclear [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
If a ball changes from red to white, Truthmaker says some thing must make the change true [Merricks]
Truthmaker says if an entity is removed, some nonexistence truthmaker must replace it [Merricks]
If Truthmaker says each truth is made by the existence of something, the theory had de re modality at is core [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / c. States of affairs make truths
Truthmaker demands not just a predication, but an existing state of affairs with essential ingredients [Merricks]
3. Truth / B. Truthmakers / 5. What Makes Truths / d. Being makes truths
If 'truth supervenes on being', worlds with the same entities, properties and relations have the same truths [Merricks]
If truth supervenes on being, that won't explain why truth depends on being [Merricks]
3. Truth / B. Truthmakers / 6. Making Negative Truths
It is implausible that claims about non-existence are about existing things [Merricks]
3. Truth / B. Truthmakers / 7. Making Modal Truths
'True at a possibility' means necessarily true if what is said had obtained [Rumfitt]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Truthmaker isn't the correspondence theory, because it offers no analysis of truth [Merricks]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
Speculations about non-existent things are not about existent things, so Truthmaker is false [Merricks]
I am a truthmaker for 'that a human exists', but is it about me? [Merricks]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Being true is not a relation, it is a primitive monadic property [Merricks]
If the correspondence theory is right, then necessary truths must correspond to something [Merricks]
3. Truth / F. Semantic Truth / 2. Semantic Truth
'Snow is white' only contingently expresses the proposition that snow is white [Merricks]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationism just says there is no property of being truth [Merricks]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Simple Quantified Modal Logc doesn't work, because the Converse Barcan is a theorem [Merricks]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
The logic of metaphysical necessity is S5 [Rumfitt]
'Absolute necessity' would have to rest on S5 [Rumfitt]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Converse Barcan implies 'everything exists necessarily' is a consequence of 'necessarily, everything exists' [Merricks]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt]
Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The iterated conception of set requires continual increase in axiom strength [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt]
A set can be determinate, because of its concept, and still have vague membership [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt]
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt]
The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt]
If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt]
There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt]
We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt]
Logical consequence is a relation that can extended into further statements [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Normal deduction presupposes the Cut Law [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
When faced with vague statements, Bivalence is not a compelling principle [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are just the assumption-free by-products of logical rules [Rumfitt]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Sentence logic maps truth values; predicate logic maps objects and sets [Merricks]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
The totality state is the most plausible truthmaker for negative existential truths [Merricks]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Prolonged events don't seem to endure or exist at any particular time [Merricks]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
A crumbling statue can't become vague, because vagueness is incoherent [Merricks]
7. Existence / E. Categories / 1. Categories
There are two sorts of category - referring to things, and to circumstances of things [Boethius]
8. Modes of Existence / B. Properties / 3. Types of Properties
Some properties seem to be primitive, but others can be analysed [Merricks]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Intrinsic properties are those an object still has even if only that object exists [Merricks]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
An object can have a disposition when the revelant conditional is false [Merricks]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
If universals are not separate, we can isolate them by abstraction [Boethius, by Panaccio]
9. Objects / A. Existence of Objects / 1. Physical Objects
I say that most of the objects of folk ontology do not exist [Merricks]
Is swimming pool water an object, composed of its mass or parts? [Merricks]
9. Objects / A. Existence of Objects / 4. Impossible objects
Fregeans say 'hobbits do not exist' is just 'being a hobbit' is not exemplified [Merricks]
9. Objects / A. Existence of Objects / 5. Simples
We can eliminate objects without a commitment to simples [Merricks]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
We can call the quality of Plato 'Platonity', and say it is a quality which only he possesses [Boethius]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Merricks agrees that there are no composite objects, but offers a different semantics [Merricks, by Liggins]
The 'folk' way of carving up the world is not intrinsically better than quite arbitrary ways [Merricks]
If atoms 'arranged baseballwise' break a window, that analytically entails that a baseball did it [Merricks, by Thomasson]
Overdetermination: the atoms do all the causing, so the baseball causes no breakage [Merricks]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Clay does not 'constitute' a statue, as they have different persistence conditions (flaking, squashing) [Merricks]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt]
The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt]
9. Objects / C. Structure of Objects / 5. Composition of an Object
There is no visible difference between statues, and atoms arranged statuewise [Merricks]
'Unrestricted composition' says any two things can make up a third thing [Merricks]
Composition as identity is false, as identity is never between a single thing and many things [Merricks]
Composition as identity is false, as it implies that things never change their parts [Merricks]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
'Composition' says things are their parts; 'constitution' says a whole substance is an object [Merricks]
It seems wrong that constitution entails that two objects are wholly co-located [Merricks]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Objects decompose (it seems) into non-overlapping parts that fill its whole region [Merricks]
9. Objects / E. Objects over Time / 5. Temporal Parts
You believe you existed last year, but your segment doesn't, so they have different beliefs [Merricks]
9. Objects / E. Objects over Time / 12. Origin as Essential
In twinning, one person has the same origin as another person [Merricks]
9. Objects / E. Objects over Time / 13. No Identity over Time
Eliminativism about objects gives the best understanding of the Sorites paradox [Merricks]
10. Modality / A. Necessity / 3. Types of Necessity
A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical modalities respect the actual identities of things [Rumfitt]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt]
A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt]
Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt]
S5 is the logic of logical necessity [Rumfitt]
10. Modality / B. Possibility / 1. Possibility
Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt]
If two possibilities can't share a determiner, they are incompatible [Rumfitt]
10. Modality / B. Possibility / 9. Counterfactuals
Counterfactuals aren't about actuality, so they lack truthmakers or a supervenience base [Merricks]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt]
Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
If my counterpart is happy, that is irrelevant to whether I 'could' have been happy [Merricks]
If 'Fido is possibly black' depends on Fido's counterparts, then it has no actual truthmaker [Merricks]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Medieval logicians said understanding A also involved understanding not-A [Rumfitt]
Reasoning relates to understanding as time does to eternity [Boethius, by Sorabji]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
The 'warrant' for a belief is what turns a true belief into knowledge [Merricks]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
You hold a child in your arms, so it is not mental substance, or mental state, or software [Merricks]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Maybe the word 'I' can only refer to persons [Merricks]
16. Persons / F. Free Will / 1. Nature of Free Will
Knowledge of present events doesn't make them necessary, so future events are no different [Boethius]
16. Persons / F. Free Will / 2. Sources of Free Will
Rational natures require free will, in order to have power of judgement [Boethius]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Does foreknowledge cause necessity, or necessity cause foreknowledge? [Boethius]
God's universal foreknowledge seems opposed to free will [Boethius]
16. Persons / F. Free Will / 7. Compatibilism
Free will and determinism are incompatible, since determinism destroys human choice [Merricks]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Human organisms can exercise downward causation [Merricks]
18. Thought / C. Content / 7. Narrow Content
Before Creation it is assumed that God still had many many mental properties [Merricks]
The hypothesis of solipsism doesn't seem to be made incoherent by the nature of mental properties [Merricks]
19. Language / A. Nature of Meaning / 1. Meaning
I don't accept that if a proposition is directly about an entity, it has a relation to the entity [Merricks]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A sentence's truth conditions depend on context [Merricks]
We understand conditionals, but disagree over their truth-conditions [Rumfitt]
19. Language / D. Propositions / 1. Propositions
Propositions are standardly treated as possible worlds, or as structured [Merricks]
'Cicero is an orator' represents the same situation as 'Tully is an orator', so they are one proposition [Merricks]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Propositions are necessary existents which essentially (but inexplicably) represent things [Merricks]
True propositions existed prior to their being thought, and might never be thought [Merricks]
The standard view of propositions says they never change their truth-value [Merricks]
19. Language / D. Propositions / 3. Concrete Propositions
Propositions can be 'about' an entity, but that doesn't make the entity a constituent of it [Merricks]
Early Russell says a proposition is identical with its truthmaking state of affairs [Merricks]
19. Language / D. Propositions / 5. Unity of Propositions
Unity of the proposition questions: what unites them? can the same constituents make different ones? [Merricks]
We want to explain not just what unites the constituents, but what unites them into a proposition [Merricks]
19. Language / F. Communication / 3. Denial
The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt]
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
The wicked want goodness, so they would not be wicked if they obtained it [Boethius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Rewards and punishments are not deserved if they don't arise from free movement of the mind [Boethius]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
When people fall into wickedness they lose their human nature [Boethius]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is a good which once obtained leaves nothing more to be desired [Boethius]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
The bad seek the good through desire, but the good through virtue, which is more natural [Boethius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Varied aims cannot be good because they differ, but only become good when they unify [Boethius]
25. Social Practice / A. Freedoms / 2. Freedom of belief
You can't control someone's free mind, only their body and possessions [Boethius]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
Eternalism says all times are equally real, and future and past objects and properties are real [Merricks]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Growing block has a subjective present and a growing edge - but these could come apart [Merricks, by PG]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentist should deny there is a present time, and just say that things 'exist' [Merricks]
Maybe only presentism allows change, by now having a property, and then lacking it [Merricks]
Presentists say that things have existed and will exist, not that they are instantaneous [Merricks]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
How can a presentist explain an object's having existed? [Merricks]
28. God / A. Divine Nature / 5. God and Time
Divine eternity is the all-at-once and complete possession of unending life [Boethius]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Where does evil come from if there is a god; where does good come from if there isn't? [Boethius]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
God is the supreme good, so no source of goodness could take precedence over God [Boethius]
God is the good [Boethius]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
The power through which creation remains in existence and motion I call 'God' [Boethius]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The regular events of this life could never be due to chance [Boethius]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The reward of the good is to become gods [Boethius]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
God can do anything, but he cannot do evil, so evil must be nothing [Boethius]
If you could see the plan of Providence, you would not think there was evil anywhere [Boethius]