Combining Texts

All the ideas for 'works', 'Letter to Weber' and 'The Problem of Natural Laws'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
18244 I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
4800 Natural laws result from eliminative induction, where enumerative induction gives generalisations [Cohen,LJ, by Psillos]