Combining Texts

All the ideas for 'works', 'Mathematics and Indispensibility' and 'Reals by Abstraction'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]