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'Abstract Objects: a Case Study', 'True to the Facts' and 'works'
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5 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
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If '5' is the set of all sets with five members, that may be circular, and you can know a priori if the set has content [Benardete,JA on Frege]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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Frege aimed to discover the logical foundations which justify arithmetical judgements [Frege, by Burge]
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Eventually Frege tried to found arithmetic in geometry instead of in logic [Frege, by Friend]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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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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Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
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