Combining Texts
Ideas for
'Abstract Objects: a Case Study', 'Number Determiners, Numbers, Arithmetic' and 'The Mirage of Social Justice'
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9 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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9998
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What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
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10002
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'2 + 2 = 4' can be read as either singular or plural [Hofweber]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
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10003
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Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
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10008
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Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
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10005
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Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
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6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
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10000
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We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
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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 / 6. Logicism / d. Logicism critique
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10006
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First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
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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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