Combining Texts

All the ideas for 'works', 'A Note on the entscheidungsproblem' and 'On the Nature of Mathematical Reasoning'

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3 ideas

5. Theory of Logic / K. Features of Logics / 7. Decidability

18758

Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

20239

Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]