Combining Texts

All the ideas for 'Semantics, Conceptual Role', 'On the Concept of Number' and 'Structuralism Reconsidered'

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4 ideas

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 / 7. Formalism
22293 Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
19. Language / A. Nature of Meaning / 7. Meaning Holism / c. Meaning by Role
18033 The meaning of a representation is its role in thought, perception or decisions [Block]