Combining Texts

All the ideas for 'Against Method', 'Russell' and 'Models and Reality'

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8 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
6601 Science rules the globe because of colonising power, not inherent rationality [Feyerabend]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
13655 The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]
9915 V = L just says all sets are constructible [Putnam]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
9913 The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9914 It is unfashionable, but most mathematical intuitions come from nature [Putnam]
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]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
6414 Two propositions might seem self-evident, but contradict one another [Grayling]
14. Science / B. Scientific Theories / 6. Theory Holism
2561 For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]