Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Things' and 'Our Knowledge of Mathematical Objects'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

9224	Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]

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

9222	The objects and truths of mathematics are imperative procedures for their construction [Fine,K]

9223	My Proceduralism has one simple rule, and four complex rules [Fine,K]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

7783	Bodies, properties, relations, events, numbers, sets and propositions are 'things' if they exist [Lowe]