Combining Texts

All the ideas for 'The Birth of Tragedy', 'Classes and Attributes' and 'Philosophy of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

6 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
7848 Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
8. Modes of Existence / B. Properties / 11. Properties as Sets
9783 While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R]