Combining Texts

Ideas for 'Defending the Axioms', 'works' and 'Naturalism in Mathematics'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics

18207

Maybe applications of continuum mathematics are all idealisations [Maddy]

18204

Scientists posit as few entities as possible, but set theorist posit as many as possible [Maddy]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

17614

The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]

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

18167

We can get arithmetic directly from HP; Law V was used to get HP from the definition of number [Maddy]