Combining Texts

Ideas for 'fragments/reports', 'What Numbers Could Not Be' and 'The Question of Ontology'

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5 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

9910	Number-as-objects works wholesale, but fails utterly object by object [Benacerraf]

12211

It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism

12209

The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]

6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival

9903	Number words are not predicates, as they function very differently from adjectives [Benacerraf]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

9904	The set-theory paradoxes mean that 17 can't be the class of all classes with 17 members [Benacerraf]