Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, A.R. Lacey and Sara L. Uckelman

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14 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
12452 Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
4. Formal Logic / E. Nonclassical Logics / 11. Dynamic Logics
15381 Dyamic logics model changes between classical states, in action, belief, and computing [Uckelman]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
18119 Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
18247 Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
12454 Intuitionists only accept denumerable sets [Brouwer]
12453 Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
8728 Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
6455 Maybe 'sense-data' just help us to talk about unusual perceptual situations [Lacey]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
6454 Where do sense-data begin or end? Can they change? What sort of thing are they? [Lacey]
6453 Some claim sense-data are public, and are parts of objects [Lacey]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
10117 Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]