Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Julio Cesare Vanini and Mulligan/Simons/Smith

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17 ideas

3. Truth / B. Truthmakers / 2. Truthmaker Relation
10911 Part-whole is the key relation among truth-makers [Mulligan/Simons/Smith]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
10909 Truth-makers cannot be the designata of the sentences they make true [Mulligan/Simons/Smith]
10906 Moments (objects which cannot exist alone) may serve as truth-makers [Mulligan/Simons/Smith]
10907 The truth-maker for a sentence may not be unique, or may be a combination, or several separate items [Mulligan/Simons/Smith]
10912 Despite negative propositions, truthmakers are not logical complexes, but ordinary experiences [Mulligan/Simons/Smith]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
10908 Correspondence has to invoke facts or states of affairs, just to serve as truth-makers [Mulligan/Simons/Smith]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
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]
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]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
16591 Prime matter is nothing but its parts [Vanini]