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Ideas for 'Fragments on My Philosophical Development', 'Causal Powers' and 'Universal Arithmetick'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

15273

Points can be 'dense' by unending division, but must meet a tougher criterion to be 'continuous' [Harré/Madden]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

15274

Points are 'continuous' if any 'cut' point participates in both halves of the cut [Harré/Madden]

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

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism

15211

There is not an exclusive dichotomy between the formal and the logical [Harré/Madden]