Combining Texts
Ideas for
'Abstract Objects: a Case Study', 'Logicism, Some Considerations (PhD)' and 'Punctual and segmentive Hopi verbs'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412
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Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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13413
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We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411
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If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
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6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415
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An adequate account of a number must relate it to its series [Benacerraf]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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
10579
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Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
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