You are thinking of infinity as having a beginning or an end. A line of infinite length has neither. Nor does it have a center. Nor can it be expressed as the sum or product of anything.
The reason you are uncomfortable with this is because it seems implausible, counterintuitive in the physical Universe. But it is not a physical entity; it is a mathematical abstraction. Our poor brains are incapable of perceiving it, but we can use the concept in certain applications, like electrical resistance.
2007-10-04 10:03:56
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answer #1
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answered by Brant 7
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infinity is just that... its infinite, so it doesnt have a start or an end. lines are technically an imaginary concept, according to leading scientific beliefs the universe isnt even infinite, so a line cant be infinite. the same with a point and a plane. a point is infinitely small, thats impossible even an atom has a size. and a plane is a surface that goes on forever, also impossible.
2007-10-04 18:12:26
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answer #2
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answered by Anonymous
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It "began" at the moment you made the point and drew the line from it.
The Axiom of Choice may allow you to draw a line to infinity in theory. However, some theorists do not like the idea. After all, there is no way that you could physically draw such a line in a finite time.
So the line has two ends: whereever you are presently drawing the line, as the infinite time you need is not yet finished (the line is not yet infinite).
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http://en.wikipedia.org/wiki/Axiom_of_Choice
"there are schools of mathematical thought, primarily within set theory, that either reject the axiom of choice" or use different ones that are not consistent with the Axiom of choice.
Meaning: you cannot do infinitely many things (or draw things that stretch to infinity).
2007-10-04 17:13:06
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answer #3
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answered by Raymond 7
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infinite means never having an end .
the line it would begin from the point and go infinitely to the right or to the left.
2007-10-04 17:35:52
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answer #4
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answered by Moonrise 7
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At the same point. All I need to do is to use complex numbers for the representation of your plane, then add infinity to the set of complex numbers, transforming the plane topologically to a Riemann Sphere:
http://en.wikipedia.org/wiki/Riemann_sphere
Now all your infinite lines through the center are circles, just like ANY line in the complex plane becomes a circle on the sphere.
Problem solved (some time in the 19th century). Got another one?
2007-10-04 17:11:13
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answer #5
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answered by Anonymous
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Firstly, it takes two points to make a line, so I've already answered your question.
If you make a point, that's all you make.
Got it, wise guy?
2007-10-04 17:04:50
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answer #6
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answered by Bobby 6
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to answer your question I will resolve to one of the greatest thinkers of our time. He said " Two things are infnite: the universe and human stupidity; and I am not sure about the universe."
2007-10-04 17:06:49
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answer #7
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answered by Anonymous
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It doesn't start and it doesn't end.
2007-10-04 17:07:41
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answer #8
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answered by Baccheus 7
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