Combining Texts

All the ideas for 'Philosophy of Language', 'The Secret Connexion' and 'The Philosophy of Mathematics'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
7306 If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9187 Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191 Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
7322 Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
7325 Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A]
19. Language / A. Nature of Meaning / 1. Meaning
7324 Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
7323 If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A]
19. Language / E. Analyticity / 2. Analytic Truths
7315 'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
7328 The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A]
7329 Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
7333 The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
8338 A phenomenalist about objects has to be a regularity theorist about causation [Strawson,G]