Ideas from 'On Platonism in Mathematics' by Paul Bernays [1934], by Theme Structure
[found in 'Philosophy of Mathematics: readings (2nd)' (ed/tr Benacerraf/Putnam) [CUP 1983,052129648x]].
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10304

Very few things in set theory remain valid in intuitionist mathematics

6. Mathematics / B. Foundations for Mathematics / 2. Axioms for Geometry
10302

Euclid says we can 'join' two points, but Hilbert says the straight line 'exists'

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10303

Restricted Platonism is just an ideal projection of a domain of thought

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
10306

Mathematical abstraction just goes in a different direction from logic
