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#1 |
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New Member [01%]
MBTI: INTJ
Join Date: Oct 2008
Posts: 6
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Visualize a 1 on the right and a zero on the left, if you divide the distance from 1 to zero an infinite number of times the question is.....do you ever reach zero or did you ever start?
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#2 |
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Veteran Member [56%]
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Infinite sets within infinite sets...a real brain teaser.
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#3 |
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Core Member [407%]
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It depends on how you make the "cuts", and on how big your "infinity" is. Perhaps we can tighten the puzzle up a little bit.
Let's say your first cut is at 1. Then your second is at 1/2... the third at 1/3, and so on, so that the kth cut is at 1/k. Letting k grow without bound, you make (countably) infinitely many cuts. Now, your question is, "Do you ever make a cut at zero?" |
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#4 |
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New Member [01%]
MBTI: INTJ
Join Date: Oct 2008
Posts: 6
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or....did you ever start......however one is still moving from the right to left towards the perceived goal....in all reality there is no measure or reason to how many cuts one need make or the size of these cuts since the distance is based on an infinite number of cuts anyway..........this distance is nothing but distance and is imeasurable with out pre-described parameters....
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#5 |
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Core Member [155%]
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Also depends on whether you're cutting a real line or an imaginary line. If it is a real line, you will eventually get down to the atomic level and will reach a point you can cut no further.
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#6 | |||
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Member [17%]
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I think we are speaking in strictly conceptual terms here. |
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