Combining Texts

All the ideas for 'works', 'works' 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]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

17743

De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]

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 / 6. Logicism / b. Type theory

6409	The 'simple theory of types' distinguishes levels among properties [Ramsey, by Grayling]

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

3212	Beliefs are maps by which we steer [Ramsey]

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]