Combining Philosophers

All the ideas for Thrasymachus, Alan Musgrave and Karen Bennett

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17 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10061 The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
10065 Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10050 A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
10058 No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10063 Formalism is a bulwark of logical positivism [Musgrave]
10062 Formalism seems to exclude all creative, growing mathematics [Musgrave]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
16039 Supervenience: No A-difference without a B-difference [Bennett,K]
16043 Supervenience is non-symmetric - sometimes it's symmetric, and sometimes it's one-way [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
16047 Weak supervenience is in one world, strong supervenience in all possible worlds [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16040 Aesthetics, morality and mind supervene on the physical? Modal on non-modal? General on particular? [Bennett,K]
16044 Some entailments do not involve supervenience, as when brotherhood entails siblinghood [Bennett,K]
16046 Reduction requires supervenience, but does supervenience suffice for reduction? [Bennett,K]
7. Existence / D. Theories of Reality / 6. Physicalism
16049 Definitions of physicalism are compatible with a necessary God [Bennett,K]
10. Modality / A. Necessity / 6. Logical Necessity
16042 The metaphysically and logically possible worlds are the same, so they are the same strength [Bennett,K]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
28. God / C. Attitudes to God / 3. Deism
1558 Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]