Combining Texts
Ideas for
'Abstract Objects: a Case Study', 'The Blank Slate' and 'Foundations without Foundationalism'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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Logicism is distinctive in seeking a universal language, and denying that logic is a series of abstractions [Shapiro]
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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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Mathematics and logic have no border, and logic must involve mathematics and its ontology [Shapiro]
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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 / d. Predicativism
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Some reject formal properties if they are not defined, or defined impredicatively [Shapiro]
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