Subject:
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Re: 22/7 & infinities (was: Re: The nature of the JC god, good or evil?)
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Newsgroups:
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lugnet.off-topic.geek
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Date:
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Sun, 22 Aug 1999 22:19:40 GMT
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Viewed:
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1336 times
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In lugnet.off-topic.debate, lehman@javanet.com (Todd Lehman) writes:
> [...] So you can actually manipulate infinite numbers. [...]
Whoops. I misspoke. Yes, you can actually manipulate infinite numbers in
many (not all) cases, but the example of sqrt(8)/sqrt(2)=2 isn't an example
of manipulating infinite numbers. Those numbers are finite, of course --
but perhaps "infinitely complex."
You probably knew what I meant, but I don't wanna get flamed for making a
technical mistake in a highly technical discussion. :-)
An example of manipulating infinite numbers would be reducing:
limit n n
n->infty 2 2 n
--------------- = limit ---- = limit (2/3) = 0 .
limit n n->infty n n->infty
n->infty 3 3
There, you start out with an expression that's dividing one infinite number
by another infinite number (the result of which always has to be either
zero, infinity, or some real number), and reduce it to more tangible terms.
--Todd
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