Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Johanna Seibt and Barry Smith

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15 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
18470 Maybe truth-making is an unanalysable primitive, but we can specify principles for it [Smith,B]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18469 God might necessitate that something happen, but He is not the truth-maker for it [Smith,B]
4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
12452 Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
7. Existence / B. Change in Existence / 2. Processes
19480 Process philosophy places the dynamic nature of being at the centre of our theories [Seibt]
19479 Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt]
19481 Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt]
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]