Combining Texts

All the ideas for 'works', 'Proof that every set can be well-ordered' and 'Russell'

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5 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity
Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
7. Existence / D. Theories of Reality / 4. Anti-realism
Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]