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Ideas for 'Notes on John Wilkins', 'Categories' and 'Mathematics is Megethology'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

11044

One is prior to two, because its existence is implied by two [Aristotle]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

11042

Parts of a line join at a point, so it is continuous [Aristotle]

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

10808

Mathematics is generalisations about singleton functions [Lewis]

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

11041

Some quantities are discrete, like number, and others continuous, like lines, time and space [Aristotle]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

10815

We don't need 'abstract structures' to have structural truths about successor functions [Lewis]