>>6
Wikipedia gives a construction of the hyperreals. If you can't read and verify that it is correct on your own, then don't participate in the adults' conversation.
>>7
I agree, there's a lot of people in sci/math who can't verify things themselves. The concept of a proof or construction is fairly simple. If you understand the material you can conclude for yourself whether each step is valid or not. The only things you should ever have to just assume are right in a correct proof are axioms. There's a lot of people here who seem like they've never had more than high school algebra and geometry, maybe some calculus.
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Anonymous2006-10-28 18:04
So, does 1/0 exist in the hyperreals?
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Anonymous2006-10-28 18:41
no but 1/.000...1 does
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Anonymous2006-10-30 15:27
Is 1/.000...1 = 999...?
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Anonymous2006-10-30 17:04
its equal to anything thats equivalent to a sequence approaching infinity.
0.000...1 is the inverse of infinity, so 1/0.000...1 = 1*inf = inf
1/inf = 0.000...1
inf * 0.000...1 = 1
the hyperreals also have numbers which are equal to a regular real plus/minus an infintesimal (thats the name for the 0.000...1 thing)
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Anonymous2006-10-30 19:52
50k gigawatts
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Anonymous2006-11-01 1:03
THE HYPERREALS CAN GO FUCK THEMSELVES
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Anonymous2006-11-01 11:58
So is 1/0.0000000...1 finally infinite? dun tell me you cant divide by something to get infinite, thats one number you cant get with division and it looks weird you know
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Anonymous2006-11-01 14:04
>>16
In the hyperreals, 1/0.00...1 is indeed infinite.
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Anonymous2006-11-01 14:05
It's like a guy who gets real fat. He's not getting any taller, but he keeps getting more and more fat in between.
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Anonymous2006-11-01 18:56
>>17
Aahh FUCK YES! Finally, we get infinite. So I guess I'll use hyperreals from now on.