Combining Philosophers

All the ideas for Eubulides, Kenneth Kunen and Richard Cartwright

expand these ideas     |    start again     |     specify just one area for these philosophers

34 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
9786 Philosophers working like teams of scientists is absurd, yet isolation is hard [Cartwright,R]
2. Reason / A. Nature of Reason / 6. Coherence
9784 A false proposition isn't truer because it is part of a coherent system [Cartwright,R]
3. Truth / A. Truth Problems / 5. Truth Bearers
13941 Are the truth-bearers sentences, utterances, ideas, beliefs, judgements, propositions or statements? [Cartwright,R]
13942 Logicians take sentences to be truth-bearers for rigour, rather than for philosophical reasons [Cartwright,R]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13030 Extensionality: ∀x ∀y (∀z (z ∈ x ↔ z ∈ y) → x = y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
13032 Pairing: ∀x ∀y ∃z (x ∈ z ∧ y ∈ z) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
13033 Union: ∀F ∃A ∀Y ∀x (x ∈ Y ∧ Y ∈ F → x ∈ A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13037 Infinity: ∃x (0 ∈ x ∧ ∀y ∈ x (S(y) ∈ x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13038 Power Set: ∀x ∃y ∀z(z ⊂ x → z ∈ y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13034 Replacement: ∀x∈A ∃!y φ(x,y) → ∃Y ∀X∈A ∃y∈Y φ(x,y) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / i. Axiom of Foundation VIII
13039 Foundation:∀x(∃y(y∈x) → ∃y(y∈x ∧ ¬∃z(z∈x ∧ z∈y))) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13036 Choice: ∀A ∃R (R well-orders A) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
13029 Set Existence: ∃x (x = x) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / n. Axiom of Comprehension
13031 Comprehension: ∃y ∀x (x ∈ y ↔ x ∈ z ∧ φ) [Kunen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13040 Constructibility: V = L (all sets are constructible) [Kunen]
5. Theory of Logic / L. Paradox / 1. Paradox
6007 If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
6006 If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
6008 Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
18465 An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
8. Modes of Existence / B. Properties / 11. Properties as Sets
9783 While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R]
9. Objects / B. Unity of Objects / 3. Unity Problems / a. Scattered objects
14961 Clearly a pipe can survive being taken apart [Cartwright,R]
14962 Bodies don't becomes scattered by losing small or minor parts [Cartwright,R]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
13952 Essentialism says some of a thing's properties are necessary, and could not be absent [Cartwright,R]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
13954 The difficulty in essentialism is deciding the grounds for rating an attribute as essential [Cartwright,R]
9. Objects / D. Essence of Objects / 15. Against Essentialism
13955 Essentialism is said to be unintelligible, because relative, if necessary truths are all analytic [Cartwright,R]
9. Objects / F. Identity among Objects / 3. Relative Identity
13953 An act of ostension doesn't seem to need a 'sort' of thing, even of a very broad kind [Cartwright,R]
9. Objects / F. Identity among Objects / 4. Type Identity
13945 A token isn't a unique occurrence, as the case of a word or a number shows [Cartwright,R]
19. Language / A. Nature of Meaning / 1. Meaning
13948 For any statement, there is no one meaning which any sentence asserting it must have [Cartwright,R]
13950 People don't assert the meaning of the words they utter [Cartwright,R]
19. Language / D. Propositions / 1. Propositions
13944 We can pull apart assertion from utterance, and the action, the event and the subject-matter for each [Cartwright,R]
13947 'It's raining' makes a different assertion on different occasions, but its meaning remains the same [Cartwright,R]
19. Language / D. Propositions / 4. Mental Propositions
13943 We can attribute 'true' and 'false' to whatever it was that was said [Cartwright,R]
13946 To assert that p, it is neither necessary nor sufficient to utter some particular words [Cartwright,R]
19. Language / F. Communication / 2. Assertion
13951 Assertions, unlike sentence meanings, can be accurate, probable, exaggerated, false.... [Cartwright,R]