Combining Philosophers

Ideas for Myles F. Burnyeat, Mich��le Friend and Francisco Surez

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5 ideas

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

8681	The big problem for platonists is epistemic: how do we perceive, intuit, know or detect mathematical facts? [Friend]

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

8712	Mathematics should be treated as true whenever it is indispensable to our best physical theory [Friend]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

8716	Formalism is unconstrained, so cannot indicate importance, or directions for research [Friend]

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

8706	Constructivism rejects too much mathematics [Friend]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

8707	Intuitionists typically retain bivalence but reject the law of excluded middle [Friend]