Combining Philosophers

All the ideas for Roderick Firth, Alan Musgrave and Paul M. Churchland

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14 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
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
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
We are not conscious of pure liquidity, but of the liquidity of water [Firth]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Folk psychology may not be reducible, but that doesn't make it false [Kirk,R on Churchland,PM]
Eliminative materialism says folk psychology will be replaced, not reduced [Churchland,PM]
18. Thought / A. Modes of Thought / 4. Folk Psychology
If folk psychology gives a network of causal laws, that fits neatly with functionalism [Churchland,PM]
Many mental phenomena are totally unexplained by folk psychology [Churchland,PM]
Folk psychology never makes any progress, and is marginalised by modern science [Churchland,PM]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]