Combining Texts
Ideas for
'Abstract Objects: a Case Study', 'Representative Government' and 'Replies on 'Limits of Abstraction''
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7 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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10573
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Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
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10575
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Why should a Dedekind cut correspond to a number? [Fine,K]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
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10574
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Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
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10560
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Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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10568
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Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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10580
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Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
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6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
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10579
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Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
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