Combining Texts

All the ideas for 'Philosophy of Mathematics', 'On the Necessity of Origin' and 'fragments/reports'

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7 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]

9. Objects / E. Objects over Time / 10. Beginning of an Object

18892

Suppose a world where I'm from different gametes; add my gametes; which one is more me? [McGinn]

9. Objects / E. Objects over Time / 12. Origin as Essential

12019

McGinn falsely claims necessity of origin is a special case of the necessity of identity [Forbes,G on McGinn]

23. Ethics / A. Egoism / 2. Hedonism

5954	All inventions of the mind aim at pleasure, and those that don't are worthless [Metrodorus of Lamp., by Plutarch]