>>3
OP here. thank you sir! for a week i've been toying with the idea that maybe 0/0 could be an exception to the "can't divide by zero" rule. i've been trying to disprove it this way and that but couldn't get there myself (without slipping into the circular argument that one of the steps of my "proof" of 0/0=1 was faulty b/c "you can't divide by zero"). i figured if i posted this in an obnoxious enough way, someone would bite (instead of just saying GTFO: >>2 )
anyway, thanks... srsly
Name:
Anonymous2006-11-06 6:40
1=0/0 = (0 x 1)/(0 x 2) = (0/0)x(1/2) = 1 x 1/2 = 1/2
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Anonymous2006-11-06 17:38
More reductio ad absurdum! why didn't I think of these... thanks.
- OP
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Anonymous2006-11-06 18:09
0/0 is all real numbers fucktard
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Anonymous2006-11-06 18:39
anything divided by 0 is infinity, which is a concept, not a number
>>14
he's a complicated man, and no-one understands but his mother. ZERO!
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Anonymous2006-11-12 2:46
Your problem comes from a fundamental misunderstanding of how division works. To devide a number x, you have to have a solution to x = dq+r, where r < d. x is the number you are dividing, d is the "divisor" (the number you are diving by), q is the quotient (how many times does the divisor go into x?) and r is the remainder.
It's required for r < d, since that makes division a well-defined operation. Problem is, to divide 0, you end up with 0=q*0+0. r=d, thus, you cannot divide by 0.
Now, you can use limits to *estimate*, but as it's been pointed out, you can make 0/0 into any value you want with those.
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Anonymous2006-11-12 13:26
anything*0=0
0/0=anything
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Anonymous2006-11-14 11:50
if infinity is possible that would make zero unfathomable and therefore random.
>>28
Actually it would not have to be a field, just a division algebra. The point about having >=2 elements stands though, since that is true of division algebras as well.
Ok lets be real now people. We have come to the conclusion that 0/0=1 also that 0/a=0 and a/0=infinite. Therefor zero can equal 1,0,and infinite. This is a proven. Because everything divided by itself is one. Why should the trend stop at zero????