Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Our Knowledge of Mathematical Objects' and 'Mathematics: Form and Function'

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
18189 ZFC could contain a contradiction, and it can never prove its own consistency [MacLane]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14235 Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
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]