Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Dean W. Zimmerman and E Nagel / JR Newman

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16 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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
10197 An immanent universal is wholly present in more than one place [Zimmerman,DW]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
10198 If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
10199 Discernible differences at different times may just be in counterparts [Zimmerman,DW]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
9591 The human intellect has not been, and cannot be, fully formalized [Nagel/Newman]
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 / D. Time / 1. Nature of Time / g. Growing block
14610 Neither 'moving spotlight' nor 'growing block' views explain why we care what is present or past [Zimmerman,DW]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
14608 A-theorists, unlike B-theorists, believe some sort of objective distinction between past, present and future [Zimmerman,DW]