Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Kenelm Digby and Paul Thagard

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25 ideas

2. Reason / A. Nature of Reason / 6. Coherence
17596 Coherence problems have positive and negative restraints; solutions maximise constraint satisfaction [Thagard]
17597 Coherence is explanatory, deductive, conceptual, analogical, perceptual, and deliberative [Thagard]
17598 Explanatory coherence needs symmetry,explanation,analogy,data priority, contradiction,competition,acceptance [Thagard]
3. Truth / A. Truth Problems / 6. Verisimilitude
17602 Verisimilitude comes from including more phenomena, and revealing what underlies [Thagard]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16597 Quantity is the capacity to be divided [Digby]
14. Science / B. Scientific Theories / 1. Scientific Theory
17601 Neither a priori rationalism nor sense data empiricism account for scientific knowledge [Thagard]
14. Science / C. Induction / 6. Bayes's Theorem
17600 Bayesian inference is forced to rely on approximations [Thagard]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
17064 1: Coherence is a symmetrical relation between two propositions [Thagard, by Smart]
17065 2: An explanation must wholly cohere internally, and with the new fact [Thagard, by Smart]
17066 3: If an analogous pair explain another analogous pair, then they all cohere [Thagard, by Smart]
17067 4: For coherence, observation reports have a degree of intrinsic acceptability [Thagard, by Smart]
17068 5: Contradictory propositions incohere [Thagard, by Smart]
17069 6: A proposition's acceptability depends on its coherence with a system [Thagard, by Smart]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
17599 The best theory has the highest subjective (Bayesian) probability? [Thagard]
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 / 7. Later Matter Theories / b. Corpuscles
16731 Colours arise from the rarity, density and mixture of matter [Digby]