Combining Texts

Ideas for '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

Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]

17516

If counting needs a sortal, what of things which fall under two sortals? [Ayers]

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

17967

To decide some questions, we must study the essence of mathematical proof itself [Hilbert]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

17965

The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers

17964

Number theory just needs calculation laws and rules for integers [Hilbert]