yes
as a concept
2006-06-26 21:24:51
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answer #1
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answered by Scott R 6
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infinity exists, but only as concept. The ways of doing things is in many cses unlimited, even though the things themselves are limited (finit). It is quite easy to set up an example of a number wich is a count of something (like possible moves in a game) which is greater than the number of atoms in the universe. In that respect there are even large numbers that don't "exist" in a formal way.
There is no limit to the number of points that are on a particular line. Similarly there is no limit to the number of curves that can occur in 3D space. By analogy mathematicians have even managed to distinguish between different "infinities": if you match two different infinities by count, one for one, you will sometimes find that one infinity is infinitely "greater" than the other. By convention the simple counting infinity (the number of numbers, for example) has been named ALEPH-NULL. Aleph is a letter in Hebrew that looks a little like an ornate backward-written N. The null is a subscript zero. The next order of infinity is called ALEPH-ONE, and so on. The counting infinity that we symbolise with an 8 on its side is aleph-null, and is used im calculus to define the scope of a variable in a formula as "never-ending". For example, 1 + 1/2 + 1/4 + 1/8.. gets ever closer to 2. This can be symbolised as:
lim SIGMA [subscript n=1], [superscript-infinity] (1/n) = 2
2006-07-04 03:53:58
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answer #2
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answered by Anonymous
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Yes, indeed there are an infinite number of infinities!
First of all, on the number line in the positive direction, numbers get larger and larger without end. The number they approach is called infinity, or positive infinity. (They never actually reach it; "infinity plus one" is exactly the same as infinity.) But that's by no means the end of infinity!
There is also the other direction, where numbers become increasingly negative without end, approaching negative infinity.
You can also pick any two points on the number line. Let's choose zero and one because they are convenient (but *any* values could be used just as well). You can divide the interval [0,1] into two equal parts and you wind up with [0,1/2,1]. Then you can divide those two intervals in two: [0,1/4,1/2,3/4,1]. You can continue dividing up this section of the number line into finer and finer pieces forever and ever.... does this sound familiar? It should: we've found another infinity! There are an infinite number of fractional divisions between any two numbers.
So, thinking hypothetically because you can never actually reach infinity, suppose we actually did divide up our segment of the number line into an infinite number of chunks: [0...1] for example. The set is of infinite length in number of members; its numeric length is exactly one in our example. Each of those vanishingly tiny chunks is called an infinitesimal. Infinite sums of infinitesimals do not necessarily add up to infinity as we see here; indeed, their definite results are the reason for the existence of integral calculus.
There is yet another meaning for "infinity" which is used in physics. Here on the surface of the Earth you can feel a strong gravitational pull. But far, far, far away from Earth that gravitational pull will be so tiny that it has no measureable effect; it has become infinitesimal. This distant location is called "being at infinity" with respect to the gravity field of Earth because Earth's gravity has basically no effect this far away. Interestingly, this distance is not infinitely far away; it's more of a practical definition of infinity which is useable in the real universe. It allows the analysis of problems which would otherwise be intractably complicated, by removing the factors where the influence is tiny (i.e., infinitesimal) from the calculations.
2006-06-26 21:53:50
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answer #3
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answered by poorcocoboiboi 6
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Infinity aint a number. Theres is no limit to infinity. As close as u reach it it goes far and far from u. There is no signboard to infinity. Infinity means the unimaginable. What you can imagine is not infinity but wht u cant imagine is infinity.
In short, INFINITY is a mathematical way of saying IMPOSSIBLE !
2006-06-26 22:21:45
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answer #4
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answered by The Game BOY ! 1
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yes.. infinity exists.. hmmm. but not infinity + 1!! hahahaahaaa! just kidding!
Buzz Lightyear is going beyond infinity...
infinity is an unreachable destination... because it grows as fast as we approach it, so... does that make it unreal? or make it so that it does not exist?...
if I follow somebody around the block, keeping back on opposite side of block.. and we are walking in the snow.. and they are leaving footprints... I cannot see them.. and if they are walking at the same speed as I am following the I will never see them.. just their footprints... so... does the person I'm following exist? or is it just the footprints?
2006-07-08 01:54:10
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answer #5
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answered by ♥Tom♥ 6
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Infinity is a concept , not any ordinary number. In a vague sense, it is the bigest number. So, to answer your question , infinity does exist.
2006-06-26 21:27:53
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answer #6
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answered by Anonymous
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Infinity is NOT a number. It exists theoretically.
2006-07-04 22:35:08
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answer #7
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answered by The Elite Gentleman 2
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I don't know the technical answer here but according to what I've read infinity is kind of like the scientific equivalent of God, it's just an idea that there is no true proof of, that is bigger and greater than everything and infact encompasses everything, and it doesn't work unless you believe in it.....interesting
2006-07-10 22:34:02
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answer #8
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answered by dude 2
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Infinity is an assumptional number. It exists theoritically
2006-07-10 18:06:13
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answer #9
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answered by sandeep y 1
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Yes, infinity is used logically.
2006-07-10 01:01:08
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answer #10
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answered by ODUSylence08 3
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Infinity is only a mathematical expression.
2006-07-10 18:13:52
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answer #11
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answered by Anonymous
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