Combining Philosophers
Ideas for Luitzen E.J. Brouwer, Charles Parsons and Rudolph Carnap
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7 ideas
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
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18201
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General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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13936
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Questions about numbers are answered by analysis, and are analytic, and hence logically true [Carnap]
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8748
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Logical positivists incorporated geometry into logicism, saying axioms are just definitions [Carnap, by Shapiro]
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6. Mathematics / C. Sources of Mathematics / 8. Finitism
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13419
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If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
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12454
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Intuitionists only accept denumerable sets [Brouwer]
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12453
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Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
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8728
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Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
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