Combining Texts

All the ideas for 'The Birth of Tragedy', 'On the Reduction of Necessity to Essence' and 'Realism in Mathematics'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
7848 Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
8755 Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
16974 The nature of each logical concept is given by a collection of inference rules [Correia]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10718 A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
8756 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
17733 We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
10. Modality / A. Necessity / 6. Logical Necessity
16973 Explain logical necessity by logical consequence, or the other way around? [Correia]