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Oct 13, 2012 at 4:09 vote accept Sidney Raffer
Oct 13, 2012 at 4:09 comment added Sidney Raffer @Emil: Thank you for your answer. It doesn't look like there are any takers for the second part of my question, which anyway was added later.
Sep 5, 2012 at 15:16 history edited Emil Jeřábek CC BY-SA 3.0
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Sep 5, 2012 at 15:10 comment added Emil Jeřábek Dealing with first-order theories of classes of structures not closed under elementary equivalence may be confusing, hence I have expanded the answer with more details. I hope it is more clear now.
Sep 5, 2012 at 15:08 history edited Emil Jeřábek CC BY-SA 3.0
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Sep 5, 2012 at 14:46 comment added Emil Jeřábek Sure. However, a sentence is provable in $T'$ if and only if it holds in all archimedean fields.
Sep 5, 2012 at 14:29 comment added Ramiro de la Vega I don't quite understand this argument. There are non-archimedean fields which are models of T', right?
Sep 5, 2012 at 13:39 history answered Emil Jeřábek CC BY-SA 3.0