Sewing-Machine comments on Exponentiation goes wrong first - Less Wrong

10 [deleted] 14 December 2010 04:13AM

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Comment author: [deleted] 14 December 2010 05:18:51AM *  0 points [-]

I think you're correct. It is more accurate to say that the counting numbers strongly resemble the natural numbers, than it is to say that every element of every model of axioms 1-4 resembles a natural number.

Note that one can create "weird" models of axioms 1-5 as well.