Combining Texts
Ideas for
'Individuals without Sortals', 'Fourfold Root of Princ of Sufficient Reason' and 'Mathematics without Foundations'
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6 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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17518
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Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
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17516
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If counting needs a sortal, what of things which fall under two sortals? [Ayers]
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6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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9937
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I do not believe mathematics either has or needs 'foundations' [Putnam]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
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9939
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It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
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9940
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Maybe mathematics is empirical in that we could try to change it [Putnam]
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6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
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9941
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Science requires more than consistency of mathematics [Putnam]
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