Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Proof of an External World' and 'The Epic of Gilgamesh'

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6 ideas

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]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
6349 I can prove a hand exists, by holding one up, pointing to it, and saying 'here is one hand' [Moore,GE]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
8659 The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)]