Combining Texts

All the ideas for 'Wisdom', 'Is Mathematics purely Linguistic?' and 'Models and Reality'

expand these ideas     |    start again     |     specify just one area for these texts

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6 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

19695

The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L

9915	V = L just says all sets are constructible [Putnam]

13655

The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

9913	The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

9914	It is unfashionable, but most mathematical intuitions come from nature [Putnam]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

21570

Numbers are just verbal conveniences, which can be analysed away [Russell]