Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Ralph Cudworth and Lord Kelvin (Wm Thomson)

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21 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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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
18118 Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
12451 Scientific laws largely rest on the results of counting and measuring [Brouwer]
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 / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
6230 If the soul were a tabula rasa, with no innate ideas, there could be no moral goodness or justice [Cudworth]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
6228 Senses cannot judge one another, so what judges senses cannot be a sense, but must be superior [Cudworth]
14. Science / B. Scientific Theories / 1. Scientific Theory
22363 You have only begun to do real science when you can express it in numbers [Kelvin]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
6229 Sense is fixed in the material form, and so can't grasp abstract universals [Cudworth]
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]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
6227 Keeping promises and contracts is an obligation of natural justice [Cudworth]
23. Ethics / F. Existentialism / 6. Authentic Self
6231 There is a self-determing power in each person, which makes them what they are [Cudworth]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
6225 Obligation to obey all positive laws is older than all laws [Cudworth]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
20644 Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin]
28. God / A. Divine Nature / 4. Divine Contradictions
6224 An omnipotent will cannot make two things equal or alike if they aren't [Cudworth]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
6223 If the will and pleasure of God controls justice, then anything wicked or unjust would become good if God commanded it [Cudworth]
6226 The requirement that God must be obeyed must precede any authority of God's commands [Cudworth]