Combining Texts

All the ideas for 'Mathematics without Foundations', 'Against Method' and 'The Emperor's New 'Knows''

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11 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 / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
12900 How could 'S knows he has hands' not have a fixed content? [Bach]
12901 If contextualism is right, knowledge sentences are baffling out of their context [Bach]
12902 Sceptics aren't changing the meaning of 'know', but claiming knowing is tougher than we think [Bach]
14. Science / B. Scientific Theories / 6. Theory Holism
2561 For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]