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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 Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [George/Velleman]
p.77 p.77 Scientific laws largely rest on the results of counting and measuring
p.79 p.79 Our dislike of contradiction in logic is a matter of psychology, not mathematics
p.80 p.80 Intuitionists only accept denumerable sets
p.80 p.80 Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness
1928 Mathematics, Science and Language
p.198 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Bostock]
p.200 Mathematics is a mental activity which does not use language [Bostock]
1930 works
p.179 For intuitionists excluded middle is an outdated historical convention
p.200 Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Korsgaard]
1948 Consciousness, Philosophy and Mathematics
p.8 Intuitionist mathematics deduces by introspective construction, and rejects unknown truths