Combining Texts

All the ideas for 'On Plural Reference and Set Theory', 'Our Knowledge of Mathematical Objects' and 'The Lagoon: how Aristotle invented science'

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5 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / b. Pre-Socratic philosophy
The Pre-Socratics are not simple naturalists, because they do not always 'leave the gods out' [Leroi]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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
The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
My Proceduralism has one simple rule, and four complex rules [Fine,K]