Combining Texts

All the ideas for 'The Varieties of Necessity', 'Russell' and 'Review of Parsons (1983)'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
18198 Mathematics is part of science; transfinite mathematics I take as mostly uninterpreted [Quine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
6408 Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
9216 Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
6414 Two propositions might seem self-evident, but contradict one another [Grayling]
13. Knowledge Criteria / C. External Justification / 7. Testimony
9214 Unsupported testimony may still be believable [Fine,K]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9215 Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]