Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Jim Baggott and James Joule

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19 ideas

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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
24162 Planck introduced the idea that energy can be quantized [Baggott]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / b. Heat
20645 Heat is a state of vibration, not a substance [Joule]
20972 Joule showed that energy converts to heat, and heat to energy [Joule, by Papineau]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
21731 Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott]
21730 A 'field' is a property with a magnitude, distributed across all of space and time [Baggott]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
24163 Free electrons have clouds of virtual particles, arising from field interaction [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
24161 Thermodynamics sees nature as a continuous flow of energy, as radiation and as substance [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / b. Standard model
21732 The current standard model requires 61 particles [Baggott]
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
24160 Particle measurements don't seem to reflect their reality [Baggott]