Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Richard Cumberland and Reiss,J/Spreger,J

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24 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
22353 One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
22356 An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
22359 Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
22360 The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
22362 Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
22364 Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
2. Reason / A. Nature of Reason / 7. Status of Reason
6222 If a decision is in accord with right reason, everyone can agree with it [Cumberland]
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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
14. Science / A. Basis of Science / 3. Experiment
22357 The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
14. Science / C. Induction / 6. Bayes's Theorem
22365 The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]
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 / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
6217 Natural law is supplied to the human mind by reality and human nature [Cumberland]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
6221 If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
6218 The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland]
6220 The happiness of all contains the happiness of each, and promotes it [Cumberland]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
6216 Natural law is immutable truth giving moral truths and duties independent of society [Cumberland]