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Aug 14, 2017 at 16:23 comment added Kyle Gannon @AlecRhea: It depends on definition of "real-closed field" you use :). If you use the first one on this page, then one could phrase it as follows: With the correct choice of derivation, the Surreal numbers form an ordered differential field which is a 'transeries-closed' field.
Aug 14, 2017 at 13:49 vote accept john mangual
Aug 14, 2017 at 7:13 comment added Alec Rhea This is fascinating -- the surreals naturally form a real-closed field, and it sounds like you're saying that they also form a 'transseries-closed field'?
Aug 14, 2017 at 5:00 history answered Kyle Gannon CC BY-SA 3.0