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On 9/20/2011 3:18 AM, Invisible wrote:
> On 19/09/2011 07:26 PM, Kevin Wampler wrote:
>> On 9/19/2011 11:20 AM, Orchid XP v8 wrote:
>>>
>>> Well, if you define it to be Heth then it's defined... It's not
>>> necessarily a good idea though.
>>>
>>> Fact is, 0 * infinity = 0, so it's not a sensible answer. Unless you
>>> change the axioms of arithmetic. (And even if you do, division by zero
>>> leads to logical paradoxes left, right and center...)
>>>
>>
>> Somehow I knew you'd post something like this. The fact is, however,
>> that defining division by zero to be infinity is actually quite common
>> and very useful in some areas of mathematics, and it doesn't lead to
>> paradoxes if you modify arithmetic suitably.
>
> Well, sure. I mean, if you "modify arithmetic" such that "zero" actually
> means one, then division by zero becomes /perfectly/ sensible...
>
1/0 is undefined, however the limit of 1/n as n approaches 0 is infinity. :)
--
~Mike
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