Combining Texts

All the ideas for 'What Price Bivalence?', 'Difficulties of Transfinite Numbers and Types' and 'Structuralism Reconsidered'

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6 ideas

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
19043 Bivalence applies not just to sentences, but that general terms are true or false of each object [Quine]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
8923 Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
8926 For mathematical objects to be positions, positions themselves must exist first [MacBride]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21559 We need rules for deciding which norms are predicative (unless none of them are) [Russell]
21558 'Predicative' norms are those which define a class [Russell]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
19042 Terms learned by ostension tend to be vague, because that must be quick and unrefined [Quine]