Combining Texts

All the ideas for 'Philosophical Explanations', 'Bertrand Russell: Spirit of Solitude' and 'Intuitionism and Formalism'

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8 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency

12452

Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]

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]

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]

11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs

3570	Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M]

13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts

2748	A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J]

18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement

7535	If all beliefs are propositional, then belief and judgement are the same thing [Monk]

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]