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Ideas of Paul Bernays, by Text
[Swiss, 1888  1977, Professor at Göttingen. Worked closely with Hilbert.]
1934

On Platonism in Mathematics


p.263

10304

Very few things in set theory remain valid in intuitionist mathematics

p.259

p.259

10302

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

p.261

p.261

10303

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

p.268

p.268

10306

Mathematical abstraction just goes in a different direction from logic
