Combining Philosophers

All the ideas for Luitzen E.J. Brouwer, Lynne Rudder Baker and Bernecker / Dretske

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26 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15941 For intuitionists excluded middle is an outdated historical convention [Brouwer]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]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
16078 Clay is intrinsically and atomically the same as statue (and that lacks 'modal properties') [Rudder Baker]
16077 The clay is not a statue - it borrows that property from the statue it constitutes [Rudder Baker]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
16080 Is it possible for two things that are identical to become two separate things? [Rudder Baker]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
16076 Constitution is not identity, as consideration of essential predicates shows [Rudder Baker]
16081 The constitution view gives a unified account of the relation of persons/bodies, statues/bronze etc [Rudder Baker]
16082 Statues essentially have relational properties lacked by lumps [Rudder Baker]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
3756 Perception, introspection, testimony, memory, reason, and inference can give us knowledge [Bernecker/Dretske]
12. Knowledge Sources / B. Perception / 7. Causal Perception
3757 Causal theory says true perceptions must be caused by the object perceived [Bernecker/Dretske]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
3759 You can acquire new knowledge by exploring memories [Bernecker/Dretske]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
3752 Justification can be of the belief, or of the person holding the belief [Bernecker/Dretske]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
3753 Foundationalism aims to avoid an infinite regress [Bernecker/Dretske]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
3754 Infallible sensations can't be foundations if they are non-epistemic [Bernecker/Dretske]
13. Knowledge Criteria / C. External Justification / 1. External Justification
3755 Justification is normative, so it can't be reduced to cognitive psychology [Bernecker/Dretske]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
3761 Modern arguments against the sceptic are epistemological and semantic externalism, and the focus on relevance [Bernecker/Dretske]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
3760 Predictions are bound to be arbitrary if they depend on the language used [Bernecker/Dretske]
18. Thought / C. Content / 6. Broad Content
3758 Semantic externalism ties content to the world, reducing error [Bernecker/Dretske]
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]