Ordinals, Cardinals and Functional numbers.
- From: "zuhair" <zaljohar@xxxxxxxxx>
- Date: 25 Oct 2006 12:42:37 -0700
Hi All,
see:
http://zaljohar.tripod.com/index.htm
This web site introduce the idea of Functional numbers. This idea
serves to give a precise formal definition of Integers and Rationals
and even higher numbers, in such a manner that enable one to exclude
x/0 from being included among rationals . Also it concludes that 0/0 is
in reality equal to 1/1, as is w/w, and it defines the algebra of 0/0.
Also it defines operators never defined for infinite cardinals. Those
are the operators of division, subtraction and root extraction. And it
tells you that -w is not among the infinite integers, also x/w,
etc....
In summary it is a rigorous set of definitions of sets of numbers, that
enable you to exclusion and inclusion on rigorous bases according to a
well based definition and not as the Ad hoc measure some mathematicians
do like when they eliminate x/0 from being a number without having a
rigorous base to do so other than trivial thinking.
Zuhair
.
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