Combining Texts

Ideas for 'Metaphysics', 'works' and 'The Scientific Image'

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17851

Number is plurality measured by unity [Aristotle]

17843

The idea of 'one' is the foundation of number [Aristotle]

17850

Each many is just ones, and is measured by the one [Aristotle]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

9793	Mathematics studies abstracted relations, commensurability and proportion [Aristotle]