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Jul 4 at 2:44 comment added GuestPoster5678 This was recently solved a couple of years ago by Mazur, Rubin, and Shlapentokh, and just published in Acta Arithmetica (see my answer at the link).
Sep 12, 2018 at 21:53 comment added Joel Adler @EmilJerabek Thanks a lot for your comment, this settles my confusion. I thought it was about deciding whether there was an algorithm deciding the constructibility of a real number, which is decidable.
Sep 12, 2018 at 8:59 comment added Emil Jeřábek @JoelAdler What do you mean? The problem asks if there exists an algorithm that can tell whether any given first-order sentence in the language of rings is true when interpreted in the field of all constructible numbers. It does not involve any specific real number.
Sep 12, 2018 at 8:37 comment added Joel Adler I have an admittedly very naive question: How is the real number whose constructibility is of interest defined?
Jun 15, 2017 at 6:26 history edited Saeed Salehi CC BY-SA 3.0
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Jun 14, 2017 at 9:33 review Late answers
Jun 14, 2017 at 9:49
S Jun 14, 2017 at 9:16 history answered Saeed Salehi CC BY-SA 3.0
S Jun 14, 2017 at 9:16 history made wiki Post Made Community Wiki by Saeed Salehi