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Timeline for tennenbaum phenomena for the reals?

Current License: CC BY-SA 3.0

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Dec 20, 2012 at 14:01 comment added Leon Horsten Dear Joel, Thanks very much for your answer. Part 1 of your answer is very interesting. It was really part 2 that I meant to ask. You put it nicely: which real-closed fields of size continuum but not necessarily archimedean have computable presentations (computable with respect to these real computational models)? [So your comment above this speaks to this question!]
Dec 20, 2012 at 13:20 comment added Joel David Hamkins It appears to follow from results in the infinite time computable model theory paper that if $V=L$, then there is a non-Archimedean real-closed field with an ITTM-computable presentation.
Dec 20, 2012 at 11:58 history edited Joel David Hamkins CC BY-SA 3.0
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Dec 20, 2012 at 10:31 history answered Joel David Hamkins CC BY-SA 3.0