Combining Texts

All the ideas for 'Physiologia', 'The Metaphysics of Space-Time Substantivalism' and 'Intuitionism and Formalism'

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7 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
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
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
The quantity is just the matter, in that it has extended parts and is diffuse [Charleton]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
27. Natural Reality / C. Space / 4. Substantival Space
General Relativity allows substantivalism about space-time - that it has independent properties [Hoefer]