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squintz
 Post subject: Math question
PostPosted: Mon Jan 24, 2005 7:39 pm 
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I just got in an arguement with a friend over a number problem thing.
The arguement is that there are different sizes of infinity.
I think that there are.
Anyone here know the answer?

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Whisp
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PostPosted: Mon Jan 24, 2005 7:44 pm 
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my opinion,

It's not actually a number. It's a concept. It isn't limited by "size." Yes you can distinguish between infinitely small and infinitely large, but the "infinite" description means the same thing in both scenarios and does not imply small or large shape by itself.

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squintz
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PostPosted: Mon Jan 24, 2005 7:47 pm 
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My thought was on this: the # of real numbers between 2 and 3 compared to the # of real numbers between 2 and 4.

Wouldnt the first amount be larger than the second?

edit: nvmd, the concept thing makes sense. pardon my math retardedness.

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Theterk
 Post subject: Re: Math question
PostPosted: Mon Jan 24, 2005 8:27 pm 
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squintz wrote:
The arguement is that there are different sizes of infinity.
I think that there are.
well, infinity has no REAL number. now, there is positive and negative infinity, so from 0 to infinity = infinity; while -infinity to infinity is still infinity...

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Parade
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PostPosted: Mon Jan 24, 2005 8:31 pm 
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i am currently in geometry, so i wouldnt have a clue
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Whisp
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PostPosted: Mon Jan 24, 2005 8:35 pm 
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negative infinity is just infinity X -1 which doesnt change the characteristics of infinity itself

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Whisp
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PostPosted: Mon Jan 24, 2005 8:36 pm 
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also "infinitely small" is just 1/infinity which also doesn't change the characteristics of infinity itself

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Havok
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PostPosted: Tue Jan 25, 2005 12:19 am 
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Infinity is not a number, it is looked at as a limit, or in the case of infinity, the absense of a limit.

...only really makes sense if you have taken calculus though

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Caduceus
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PostPosted: Tue Jan 25, 2005 2:49 am 
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omgwtf doublepost...
Didn't notice til' today. See below for answer.

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Last edited by Caduceus on Tue Jan 25, 2005 12:19 pm, edited 1 time in total.

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Caduceus
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PostPosted: Tue Jan 25, 2005 3:01 am 
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Whisp pretty much hit the nail on the head. Infinity is a conecptual absence of limits.

www.dictionary.com wrote:
Unbounded space, time, or quantity.


So, you can't assign a number to infinity.

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Hobo
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PostPosted: Tue Jan 25, 2005 3:46 am 
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Well, there is the idea that a function can be countably infinite or uncountably infinite.

Not sure if thats what you mean though.

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squintz
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PostPosted: Tue Jan 25, 2005 8:13 pm 
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i am in teh ap calc. i just forgot my terms for a sec :(

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