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Timeline for Direct construction of the integers

Current License: CC BY-SA 3.0

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Nov 7, 2011 at 7:08 comment added Valerio Capraro OK, sorry, I missed that comment.
Nov 7, 2011 at 0:40 comment added Jacques Carette Andreas is correct: I was looking for a quotient-free construction. And axioms 1-3 above are really another way of stating Goguen's "no junk, no confusion" axioms.
Nov 6, 2011 at 23:38 comment added Andreas Blass This seems to be the same as what Kaveh suggested in a comment on the question. The OP objected there that the axiom prec(succ(n)) = succ(prec(n)) = n induces a quotient. That is, the integers will not be simply the terms built from succ, pred, and 0 but rather equivalence classes of such terms.
Nov 6, 2011 at 16:26 history edited Valerio Capraro CC BY-SA 3.0
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Nov 6, 2011 at 16:18 history answered Valerio Capraro CC BY-SA 3.0