Re: [math-fun] when and why was it agreed that 0.999...=1?

On Friday 16 November 2012 11:56:39 Phil Carmody wrote:

From: "Huddleston, Scott" ...

...

A better (IMO) mapping of infinite decimals to surreals is .3333... = {.3, .33, .333, .3333, ...} | {.3+.1, .33+.01, .333+.001, ...}

Let a be 0.33, in A, and let b be 0.3+0.1, in B. a<b does not hold. So "|" is not defined.

[A] 0.33 < 0.4 = 0.3+0.1 [B]. -- g