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 / A. Nature of Mathematics / 4. The Infinite / g. Continuum Hypothesis
10883

Cantor's Continuum Hypothesis says there is a gap between the natural and the real numbers

6. Mathematics / A. Nature of Mathematics / 6. Proof in Mathematics
10885

Computer proofs don't provide explanations

6. Mathematics / B. Foundations for Mathematics / 5. Mathematics as Set Theory / a. Mathematics is set theory
10881

The concept of 'ordinal number' is settheoretic, not arithmetical
