Combining Texts

All the ideas for 'works', 'Reference and Essence: seven appendices' and 'Elements of Intuitionism'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

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For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]

7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness

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It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]

19. Language / B. Reference / 3. Direct Reference / a. Direct reference

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Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]

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

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