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Ideas of Luitzen E.J. Brouwer, by Text
[Dutch, 1881  1966, Born at Overschie. Professor at the University of Amsterdam. Died at Blaricum.]
1912

Intuitionism and Formalism


p.156

10117

Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [George/Velleman]

p.77

p.77

12451

Scientific laws largely rest on the results of counting and measuring

p.79

p.79

12452

Our dislike of contradiction in logic is a matter of psychology, not mathematics

p.80

p.80

12454

Intuitionists only accept denumerable sets

p.80

p.80

12453

Neointuitionism abstracts from the reuniting of moments, to intuit bare twooneness

1928

Mathematics, Science and Language


p.198

18118

Brouwer regards the application of mathematics to the world as somehow 'wicked' [Bostock]


p.200

18119

Mathematics is a mental activity which does not use language [Bostock]


p.179

15941

For intuitionists excluded middle is an outdated historical convention


p.200

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Shapiro]

1948

Consciousness, Philosophy and Mathematics


p.8

8728

Intuitionist mathematics deduces by introspective construction, and rejects unknown truths
