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'On the Question of Absolute Undecidability', 'Epiphenomenal Qualia' and 'Logicism and Ontological Commits. of Arithmetic'
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3 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
10027
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Mathematics is higher-order modal logic [Hodes]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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Arithmetic must allow for the possibility of only a finite total of objects [Hodes]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
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