Combining Texts

All the ideas for 'Logicism Revisited', 'Oxford Commentary on Sentences' and 'On Copernicanism and Relativity of Motion'

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11 ideas

3. Truth / A. Truth Problems / 8. Subjective Truth
13157 Choose the true hypothesis, which is the most intelligible one [Leibniz]
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
10049 Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
10050 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
10058 No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10062 Formalism seems to exclude all creative, growing mathematics [Musgrave]
10063 Formalism is a bulwark of logical positivism [Musgrave]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
16614 Matter and form give true unity; subject and accident is just unity 'per accidens' [Duns Scotus]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
13158 The Copernican theory is right because it is the only one offering a good explanation [Leibniz]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10060 Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]