Combining Texts
Ideas for
'Individuals without Sortals', 'Truth by Convention' and 'The Epistemology of Essentialist Claims'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
8994
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If analytic geometry identifies figures with arithmetical relations, logicism can include geometry [Quine]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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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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If counting needs a sortal, what of things which fall under two sortals? [Ayers]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
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There are four different possible conventional accounts of geometry [Quine]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8993
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If mathematics follows from definitions, then it is conventional, and part of logic [Quine]
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