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Ideas for
'Abstract Objects: a Case Study', 'Constructibility and Mathematical Existence' and 'Much Ado About Nothing'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
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Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
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We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
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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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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
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Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
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