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Ideas for 'fragments/reports', 'Replies on 'Limits of Abstraction'' and 'Causal Powers'

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5 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]

10573

Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]

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]

10575

Why should a Dedekind cut correspond to a number? [Fine,K]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero

10574

Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]