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ExistYou've probebly heard this theory before. If a man was walking from point A to point B, there would be three sections that the path is divided into. Each one of those three has three more sections, and each one of those has another three and so on. If one were to walk from point A to point B, there would be an infinate distance to travel, which is impossible to tread, no matter how long you walk. I just want to hear you opinions on this theory.
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it is not an infinite distance. it is a finite distance which is comprised of an infinite number of points. -
good
This is a variant of one of Zeno's Paradoxes. (See the bit about the "dichotomy paradox")
There wouldn't be infinite distance because you're dividing the total distance into infinitely small pieces. If you add up those infinitely small pieces they do not necessarily add up to infinite. In your example we have the following geometric series: {1/3, 1/9, 1/27, ... , 1/3n}. If you add all of these up as n goes to infinite, you actually get 1/2, not infinite.
A simple way to illustrate this is to consider a similar series: {1/2, 1/4, 1/8, ... , 1/2n}. Draw a large square (or rectangle if you prefer) on a sheet of paper. Now shade in half of it (1/2). Now on the remaining part, shade in half of that (1/4) and then on the remaining part shade in half of that (1/
and so on... Finitely you will never shade in the entire paper (assuming you have perfect precision.) Infinitely you'll see that the series adds up to the whole square (1).
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cheh jaleb.. riazit khoob shodeh IQComment
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boodComment
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are hamishe in too fekram bood ke age infinite raahe pas che joori miresi be hadafet. to keh nemitooni infinite raah beri.Comment
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