Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Thomas W. Polger and Danielle Macbeth

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20 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19086 Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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 / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
19093 Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
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 / 2. Qualities in Perception / d. Secondary qualities
6375 The taste of chocolate is a 'finer-grained' sensation than the taste of sweetness [Polger]
14. Science / B. Scientific Theories / 1. Scientific Theory
19091 Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
6381 The mind and the self are one, and the mind-self is a biological phenomenon [Polger]
17. Mind and Body / C. Functionalism / 5. Teleological Functionalism
6378 Teleological functions explain why a trait exists; causal-role functions say what it does [Polger]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
6380 Identity theory says consciousness is an abstraction: a state, event, process or property [Polger]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
19088 For pragmatists a concept means its consequences [Macbeth]
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 / 3. Natural Function
6379 A mummified heart has the teleological function of circulating blood [Polger]
6377 Teleological notions of function say what a thing is supposed to do [Polger]