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Dec 2, 2019 at 15:34 comment added LSpice @‍LiviuNicolaescu's answer mentioned by @AndrésE.Caicedo.
Mar 2, 2013 at 2:40 comment added Andrés E. Caicedo See also math.stackexchange.com/questions/318009/…
Mar 7, 2012 at 4:14 comment added Andrés E. Caicedo @Mariano: Yes. A nice place to see how (historically) this came to be is the paper by Kahane mentioned in Liviu Nicolaescu's answer. Around the time of his dissertation, Borel came to the realization that Taylor series are, in general, not continuable. But he didn't have a way of making his intuition precise as randomness and probability where not yet formally developed. This was addressed in 1929 by Steinhaus.
Mar 5, 2012 at 23:49 comment added Mariano Suárez-Álvarez Can this veryspecialness be more precise?
Mar 5, 2012 at 14:37 history answered Gerald Edgar CC BY-SA 3.0