[Sussex] Zero
Derek Harding
derek at lagham.uklinux.net
Sat Mar 1 11:12:01 UTC 2003
Can I add my few coppers worth?
Patishnik is, I was taught, correct as long as one is _not_ using algebraic notation and is the kind of "logic" that stops there being a year 0 between 1AD and 1BC - the zero point was just that, a point in time so brief as to have only theoretical existance.
> Well.. you're right, or half right, I have looked in two books now
> and both have given me differrent answers Patashnik says that Zero
> is _not_ an integer because you cannot divide another integer by it
> and return an integer result. The Dictionary of Mathematics claims
> Zero is an integer in algebraic maths.
>
> As the third rule _was_ and algebraic equation I hereby conceed
> that 1 is indeed, an odd number (in every sense of the word!).
Exactly - zero is essential in algebra in order for equations to possess equality (by definition). Imagine no quadratics! However, there is another argument that an integer divided by zero results in a number that is infinitely large but an infinitely large _integer_.
--
Best wishes,
Derek
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