In article <329fc82c-d399-4d05-9a15-46b61d15a723@qi8g2000pbb.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> Compare the Binary Tree. There is no path for 1/9 that could be > distinguished from all its approximations.
Sure it can. Quite easily, in fact, at least easily enough for a mathematician. 1/9 in decimal is .000111000111...(repeating 000111 infinitely) in binary.
So the 1/9 path repeating 3 lefts branchings then 3 right branchings forever is easily distinguished from all other paths, as any other path will break that pattern in finitely many steps.
How can WM claim to ba a mathematician and make such an obviously false claim?
Any rational number between 0 and 1 will have an eventually repeating binary expansion, thus also a unique eventually-repeating path in any Complete Infinite Binary Tree.
Is WM unable to work out such simple arithmetic problems on his own? --