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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 Very few things in set theory remain valid in intuitionist mathematics
p.259 p.259 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists'
p.261 p.261 Restricted Platonism is just an ideal projection of a domain of thought
p.268 p.268 Mathematical abstraction just goes in a different direction from logic