Combining Texts

All the ideas for 'The Roots of Reference', 'Structuralism Reconsidered' and 'The Development of Logic'

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

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

10051

The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]

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]

8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived

14296

Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]