Combining Texts

All the ideas for 'Propositions', 'Philosophy of Mathematics' and 'Letters to Thomas Burnett'

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20 ideas

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 / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
13197 The notion of substance is one of the keys to true philosophy [Leibniz]
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]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
13198 Gravity is within matter because of its structure, and it can be explained. [Leibniz]