Combining Texts

All the ideas for 'reports', 'Letters to Frege' and 'works'

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7 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox

13365

Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]

10711

Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

8. Modes of Existence / B. Properties / 11. Properties as Sets

9127	Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]

10. Modality / A. Necessity / 8. Transcendental Necessity

3016	Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]

18. Thought / C. Content / 6. Broad Content

7531	We don't assert private thoughts; the objects are part of what we assert [Russell]