Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Maurice Merleau-Ponty and Marian David

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25 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
21239 Philosophers are marked by a joint love of evidence and ambiguity [Merleau-Ponty]
3. Truth / A. Truth Problems / 2. Defining Truth
18365 If truths are just identical with facts, then truths will make themselves true [David]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18362 Examples show that truth-making is just non-symmetric, not asymmetric [David]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18360 It is assumed that a proposition is necessarily true if its truth-maker exists [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18358 Two different propositions can have the same fact as truth-maker [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
18355 What matters is truth-making (not truth-makers) [David]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18363 Correspondence theorists see facts as the only truth-makers [David]
18356 Correspondence is an over-ambitious attempt to explain truth-making [David]
18354 Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
18364 Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
18357 What makes a disjunction true is simpler than the disjunctive fact it names [David]
18359 One proposition can be made true by many different facts [David]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
18361 A reflexive relation entails that the relation can't be asymmetric [David]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
21862 Consciousness is based on 'I can', not on 'I think' [Merleau-Ponty]
12. Knowledge Sources / B. Perception / 5. Interpretation
20750 The mind does not unite perceptions, because they flow into one another [Merleau-Ponty]
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]