Answer by Z. A. K. for "Natural" non-standard models of Peano.
This answer is a remark on "all methods I've seen of constructing non-standard models never in any sense uniquely specify any non-standard model". It shows that you can uniquely specify a non-standard...
View ArticleAnswer by Noah Schweber for "Natural" non-standard models of Peano.
Certainly the good money is on the (current) nonexistence of such an example. But that's boring. Here are a couple positive observations, although - in my opinion - each falls short of an actual...
View Article"Natural" non-standard models of Peano.
The standard model of Peano is particularly natural, being (among other things) the unique model that embeds into any other model of Peano. It's well known that there are many other models of Peano,...
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