zuhair wrote:
> The following introduces the concept of funcitonal numbers in a more
> standard manner.
>
> see http://zaljohar.tripod.com/Operators.txt
There are already standard methods for cardinal arithmetic.
You might want to read up on:
Fields:
en.wikipedia.org/wiki/Field_%28mathematics%29">http://en.wikipedia.org/wiki/Field_%28mathematics%29
mathworld.wolfram.com/Field.html">http://mathworld.wolfram.com/Field.html
Rings:
en.wikipedia.org/wiki/Ring_%28mathematics%29">http://en.wikipedia.org/wiki/Ring_%28mathematics%29
en.wikipedia.org/wiki/Division_ring">http://en.wikipedia.org/wiki/Division_ring
mathworld.wolfram.com/Ring.html">http://mathworld.wolfram.com/Ring.html
Cardinal arithmetic:
en.wikipedia.org/wiki/Cardinal_number#Cardinal_arithmetic">http://en.wikipedia.org/wiki/Cardinal_number#Cardinal_arithmetic
mathworld.wolfram.com/CardinalNumber.html">http://mathworld.wolfram.com/CardinalNumber.html
mathworld.wolfram.com/CardinalAddition.html">http://mathworld.wolfram.com/CardinalAddition.html
mathworld.wolfram.com/CardinalMultiplication.html">http://mathworld.wolfram.com/CardinalMultiplication.html
mathworld.wolfram.com/CardinalExponentiation.html">http://mathworld.wolfram.com/CardinalExponentiation.html
Ordinal arithmetic:
en.wikipedia.org/wiki/Ordinal_arithmetic">http://en.wikipedia.org/wiki/Ordinal_arithmetic
mathworld.wolfram.com/OrdinalNumber.html">http://mathworld.wolfram.com/OrdinalNumber.html
mathworld.wolfram.com/OrdinalAddition.html">http://mathworld.wolfram.com/OrdinalAddition.html
mathworld.wolfram.com/OrdinalMultiplication.html">http://mathworld.wolfram.com/OrdinalMultiplication.html
mathworld.wolfram.com/OrdinalExponentiation.html">http://mathworld.wolfram.com/OrdinalExponentiation.html
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