GAH! I committed a similar mistake -- they are easy to make. And I misread Senator Carmody's critique, which I now believe to be wrong. On top of that, I'm misattributing everything in sight. Please be kind and ignore me. On Fri, Nov 16, 2012 at 2:48 PM, Allan Wechsler <acwacw@gmail.com> wrote:
I'm sure Senator Huddleston meant
.3333... = {.3, .33, .333, .3333, ...} | {.31, .331, .3331, ... }
On Fri, Nov 16, 2012 at 2:43 PM, Gareth McCaughan < gareth.mccaughan@pobox.com> wrote:
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
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