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'Abstract Objects: a Case Study', 'talk' and 'On Second-Order Logic'
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3 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
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Many concepts can only be expressed by second-order logic [Boolos]
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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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