Combining Philosophers
Ideas for Bryan van Norden, Ludwig Wittgenstein and Stephen Yablo
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8 ideas
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
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19002
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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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8863
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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 / a. Early logicism
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11073
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Two and one making three has the necessity of logical inference [Wittgenstein]
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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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6849
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Wittgenstein hated logicism, and described it as a cancerous growth [Wittgenstein, by Monk]
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23509
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The logic of the world is shown by tautologies in logic, and by equations in mathematics [Wittgenstein]
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6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
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8862
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Platonic objects are really created as existential metaphors [Yablo]
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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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