Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, David Marshall and Timothy McGrew

expand these ideas     |    start again     |     specify just one area for these philosophers

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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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
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]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
19682 Internalists are much more interested in evidence than externalists are [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
19684 Does spotting a new possibility count as evidence? [McGrew]
19687 Absence of evidence proves nothing, and weird claims need special evidence [McGrew]
19688 Every event is highly unlikely (in detail), but may be perfectly plausible [McGrew]
19686 Criminal law needs two separate witnesses, but historians will accept one witness [McGrew]
19680 Maybe all evidence consists of beliefs, rather than of facts [McGrew]
19681 If all evidence is propositional, what is the evidence for the proposition? Do we face a regress? [McGrew]
19689 Several unreliable witnesses can give good support, if they all say the same thing [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
19683 Narrow evidentialism relies wholly on propositions; the wider form includes other items [McGrew]
14. Science / A. Basis of Science / 6. Falsification
19685 Falsificationism would be naive if even a slight discrepancy in evidence killed a theory [McGrew]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
6668 If the present does not exist, then consciousness must be memory of the immediate past [Marshall]
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]