Gerry Myerson wrote: > > Oh, my God. He has written a book on it. I hope its not part of the UNSW > > pure mathemtics syllabus. > > > > True, crank or deliberately misleading? > > This one threw me for a loop, too. I know about the trigonometry book, > although I haven't seen it. I don't know whether that book contains > his argument that the computable numbers are complete and not countable. > It would seem to be an odd thing to include in a book that purports to > do high school trig. >
In "Divine Proportions" Norman expresses his opinion that the computable numbers are complete are not countable without elaborating on his reasons for it. I suspect that what he means here are two theorems which I would state as: A limit of an effectively Cauchy sequence of computable numbers is computable, and the computable numbers are not effectively countable.