Ideas from 'Philosophy of Mathematics' by Leon Horsten [2007], by Theme Structure

[found in 'Stanford Online Encyclopaedia of Philosophy' (ed/tr Stanford University) [plato.stanford.edu ,-]].

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2. Reason / D. Definition / 8. Impredicative Definition

10882

Predicative definitions only refer to entities outside the defined collection

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

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

10885

Computer proofs don't provide explanations

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