Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'works' and 'Explanation in Mathematics'

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3 ideas

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Objects can be beautiful which express nothing at all, such as the rainbow [Herbart, by Tolstoy]