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You are not logged in. #1 20060606 19:03:21
Question about InfinitySomething my friend and I were pondering. Wouldn't the difference of infinity and infinity be infinity and not zero? "When subtracted from 180, the sum of the squareroot of the two equal angles of an isocoles triangle squared will give the squareroot of the remaining angle squared." #2 20060606 20:16:45
Re: Question about Infinitywell i think of it this way The Beginning Of All Things To End. The End Of All Things To Come. #3 20060606 21:20:35
Re: Question about InfinityHow about this: start travelling in a circle until you reach the end. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20060606 22:52:29
Re: Question about InfinityThe only reasonable (mathimatical) way to talk about infinity in this context is to do so with limits. Here, we certainly have ∞  ∞, but it's "equal" to zero. That is to say, that both the infinities are the same size. Here, we again have ∞  ∞, but this time it "equals" ∞. That is because the 2n infinity is larger than the n infinity. And finally, ∞. Now it can also be any other value. Let f(n) = (n + r)  n, where r is a real number. Then: Which is in the form of ∞  ∞, but the result will be a real number, r. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #5 20060607 16:48:13
Re: Question about InfinityRicky, you see. That's why I tend to be conservative about infinity and would rather treated as a variable but not a reached thing. To think it as stable is natural, but that brings along too many bugs. X'(yXβ)=0 #6 20060607 17:39:25
Re: Question about InfinityBut you can't have 2∞ can you? 2∞ would just be infinity. If ∞  ∞ = 0, then 2∞  ∞ = 0 too as well as ∞²  √∞ = 0. "When subtracted from 180, the sum of the squareroot of the two equal angles of an isocoles triangle squared will give the squareroot of the remaining angle squared." #7 20060607 20:04:21
Re: Question about InfinityPersonal theory: "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #8 20060608 00:38:41
Re: Question about Infinitya single point infinitesimal of universe.. X'(yXβ)=0 #9 20060608 08:34:16
Re: Question about InfinityPerhaps a better way to think about the universe is as a set of relationships. (Example: think of the line rather than the two endpoints.) In that case there are no "things", just relationships. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #10 20060609 01:56:34
Re: Question about InfinityAcording to the almighty wikipedia.org (:]) is an undefined operation... linky linky Last edited by Patrick (20060609 01:58:14) #11 20060609 21:53:44
Re: Question about InfinityThe problem is that ∞  ∞ can be anything. Consider the following examples, which are limits in the form ∞  ∞: Another example with a different result is as follows: These two examples serve to support the following statements: ∞  ∞ is not necessarily ∞ or 0. Since infinity is more of a concept and not an exact value, there are infinitely many infinities. Several different infinities were seen in the above examples. Because of this quality of ∞, ∞  ∞ has infinitely many solutions. #12 20060611 04:26:54
Re: Question about InfinityIt can be anything!!! Code:inf  inf := und; inf / inf = 0 / 0 := und; inf / 0 = 0 / inf := und; inf * 0 := und; und +*/ all others :=und; Last edited by krassi_holmz (20060611 04:28:12) IPBLE: Increasing Performance By Lowering Expectations. #13 20060721 23:08:11
Re: Question about Infinityif ∞n=∞ and ∞∞=0, that means that ∞∞n=0, and that means that ∞∞=n=anything Last edited by Kurre (20060721 23:09:03) 