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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.]
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1912
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Intuitionism and Formalism
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p.156
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10117
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Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [George/Velleman]
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p.77
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p.77
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12451
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Scientific laws largely rest on the results of counting and measuring
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p.79
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p.79
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12452
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Our dislike of contradiction in logic is a matter of psychology, not mathematics
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p.80
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p.80
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12454
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Intuitionists only accept denumerable sets
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p.80
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p.80
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12453
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Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness
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1928
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Mathematics, Science and Language
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p.198
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18118
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Brouwer regards the application of mathematics to the world as somehow 'wicked' [Bostock]
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p.200
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18119
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Mathematics is a mental activity which does not use language [Bostock]
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p.179
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15941
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For intuitionists excluded middle is an outdated historical convention
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p.200
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18247
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Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Shapiro]
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1948
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Consciousness, Philosophy and Mathematics
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p.8
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8728
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Intuitionist mathematics deduces by introspective construction, and rejects unknown truths
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