150:8

From: Alan Riddell (pkpeekee_at_hotmail.com)
Date: Wed Feb 06 2002 - 07:16:45 PST 

>The next valid rule must either prove or disprove that
>
>      fc + rc = (f+r)c unless c is a fantasy number

150:8
====

Define the fantasy number m such that,
m+j = j+m = a
0*m = m*0 = m
and for any real number y,
m+y = y+m = m

then,

(m+j)*0 = a*0 = 0
but,
m*0 + j*0 = m + 1 = m

but m is not zero. Therefore addition is not distributive even under
multiplication by a non-fantasy number.

Also, define the fantasy number k such that, for all numbers non zero
numbers y then
|k| < |y|
k > 0
and if y is real,
k*y = y*k = k
k+k = k
k*k = k
y+k = k+y
====

Alan Riddell

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--
Rule Date: 2002-02-06 15:17:10 GMT

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