Combining Philosophers

Ideas for PG, Aristotle and Luitzen E.J. Brouwer

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5 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
The idea of 'one' is the foundation of number [Aristotle]
Each many is just ones, and is measured by the one [Aristotle]
Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]
Number is plurality measured by unity [Aristotle]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics studies abstracted relations, commensurability and proportion [Aristotle]