Combining Texts

All the ideas for 'Wittgenstein's 'Philosophical Investigations'', 'Logicism Revisited' and 'Content Preservation'

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10 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]
13. Knowledge Criteria / C. External Justification / 1. External Justification
9382 Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
14644 If my conception of pain derives from me, it is a contradiction to speak of another's pain [Malcolm]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]