Combining Philosophers
Ideas for Anaxarchus, Robert Axelrod and Stephen Yablo
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5 ideas
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
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A nominalist can assert statements about mathematical objects, as being partly true [Yablo]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo]
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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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Platonic objects are really created as existential metaphors [Yablo]
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Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
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