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'Individuals without Sortals', 'Syntactic Structure' and 'Axiomatic Thought'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
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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If counting needs a sortal, what of things which fall under two sortals? [Ayers]
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6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
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To decide some questions, we must study the essence of mathematical proof itself [Hilbert]
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6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17965
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The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
17964
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Number theory just needs calculation laws and rules for integers [Hilbert]
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