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Line Segment - Thought Experiment

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Line Segment - Thought Experiment
BAndrew Offline
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#1
Line Segment - Thought Experiment

Imagine a line segment of 1 unit(s) long (meters,feet,whatever you want).

You remove 1/3 of the segment located in the middle and you are left with 1/3 in the left and 1/3 in the right. Do this again for each of the two pieces of the segment left. Now you should have 4 smaller segments. Continue this process infinitely many times (I mean imagine it). The process is illustrated bellow:

[Image: lmzsb2s]

The thing is. You obviously have removed infinetely many points (points are considered 0 dimensional), but how many points are left? Moreover, how much length of the original segment is left in the end?
•I have found the answer to the universe and everything, but this sign is too small to contain it.

[Image: k2g44ae]
04-23-2014, 08:11 PM
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Messages In This Thread
Line Segment - Thought Experiment - by BAndrew - 04-23-2014, 08:11 PM
RE: Line Segment - Thought Experiment - by Froge - 04-23-2014, 08:22 PM
RE: Line Segment - Thought Experiment - by Froge - 04-23-2014, 08:35 PM
RE: Line Segment - Thought Experiment - by Statyk - 04-24-2014, 04:52 AM



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