Combining Texts

All the ideas for 'Frege on Knowing the Third Realm', 'Letters to Samuel Masson' and 'Intuitionism and Formalism'

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7 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 / A. Overview of Logic / 3. Value of Logic

13479

Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]

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 / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

13190

I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]

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]

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]