Combining Texts

All the ideas for 'Realism in Mathematics', 'Against Method' and 'Nietzsche: a philosophical biography'

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7 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
Hegel, Fichte and Schelling wanted to know Kant's thing-in-itself, as ego, or nature, or spirit [Safranski]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Science rules the globe because of colonising power, not inherent rationality [Feyerabend]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
14. Science / B. Scientific Theories / 6. Theory Holism
For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]