
Re: 0 to the power 0
Posted:
Nov 11, 1996 6:20 PM


Ted Alper writes: > >For that matter, one doesn't have to bring up even the nonstandard >reals to distinguish "0.999..." from 1  you can do this and define a >perfectly good total order on the set of all decimal expansions (it >is, in effect, a Cantor set).
This is using base 11 expansions, where the largest possible digit is not allowed. In particular, it is changing the arithmetic meaning of .9999.. as a number > 9/10, > 99/100, etc. I.e., it is changing the rules of the game at the elementary (= first order logic) level, which doesn't quite seem fair.
Cheers.
 Judy Roitman  "Glad to have Math, University of Kansas  these copies of things Lawrence, KS 66045  after a while." 9138644630  Larry Eigner, 19271996 

