On Dec 5, 12:02 pm, Bruno Marchal <marc...@ulb.ac.be> wrote:
> On 04 Dec 2010, at 18:50, Brian Tenneson wrote:
> That means that R (standard model of the first order theory of the
> reals + archimedian axiom, without the term "natural number") is not
> elementary embeddable in R*, given that such an embedding has to
> preserve all first order formula (purely first order formula, and so
> without notion like "natural number").

I'm a bit confused.  Is R < R* or not?  I thought there was a fairly
natural way to elementarily embed R in R*.

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