Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Posidonius and Richard L. Kirkham

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19 ideas

3. Truth / A. Truth Problems / 5. Truth Bearers
18369 There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
19318 A 'sequence' of objects is an order set of them [Kirkham]
19319 If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
19320 If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
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 / A. Overview of Logic / 5. First-Order Logic
19315 In quantified language the components of complex sentences may not be sentences [Kirkham]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
19317 An open sentence is satisfied if the object possess that property [Kirkham]
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]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
19322 Why can there not be disjunctive, conditional and negative facts? [Kirkham]
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]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]