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Jul 3, 2011 at 22:04 comment added François G. Dorais (And thanks for pointing out that Krivine paper!)
Jul 3, 2011 at 22:04 comment added François G. Dorais For the second part, you only need that every real is ordinal definable since that already gives a definable wellordering of $\mathbb{R}$.
Jul 3, 2011 at 21:21 history answered user5810 CC BY-SA 3.0