Combining Texts

All the ideas for 'Intuitionism and Formalism', 'Representation in Music' and 'The Idea of the Brain'

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10 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]
15. Nature of Minds / A. Nature of Mind / 8. Brain
There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb]
The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb]
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]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Reference without predication is the characteristic of expression [Scruton]
21. Aesthetics / B. Nature of Art / 5. Art as Language
If music refers to love, it contains no predication, so it is expression, not language [Scruton]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music is not representational, since thoughts about a subject are never essential to it [Scruton]