Combining Texts
Ideas for
'Axiomatic Theories of Truth', 'Outline of a System of Utilitarianism' and 'Introducing the Philosophy of Mathematics'
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6 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
8681
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The big problem for platonists is epistemic: how do we perceive, intuit, know or detect mathematical facts? [Friend]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
8712
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Mathematics should be treated as true whenever it is indispensable to our best physical theory [Friend]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
16308
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Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
8716
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Formalism is unconstrained, so cannot indicate importance, or directions for research [Friend]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
8706
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Constructivism rejects too much mathematics [Friend]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
8707
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Intuitionists typically retain bivalence but reject the law of excluded middle [Friend]
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