Combining Philosophers

Ideas for Charles Parsons, Adam Cross and Rudolph Carnap

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4 ideas

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

18201

General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

13936

Questions about numbers are answered by analysis, and are analytic, and hence logically true [Carnap]

8748	Logical positivists incorporated geometry into logicism, saying axioms are just definitions [Carnap, by Shapiro]

6. Mathematics / C. Sources of Mathematics / 8. Finitism

13419

If functions are transfinite objects, finitists can have no conception of them [Parsons,C]