Topic: If numbers are infinite, then how is it possible to travel from one place to another?
Anonymous A started this discussion 9 years ago #60,031 There will surely come a time when you are halfway from your destination, then 1/4 away, then 1/8, then 1/16, then 1/32, then 1/64, and so on. And since numbers are infinite, it will always be possible to divide the distance yet further, so that you will always be an infinite spiral of division away from your final destination.
How to solve this paradox?
Anonymous B joined in and replied with this 9 years ago , 1 minute later[^] [v] #762,328 Nice madpost
Meta joined in and replied with this 9 years ago , 1 minute later, 2 minutes after the original post[^] [v] #762,331 Because the universe is made of atoms and atoms are finite.
Sheila LaBoof joined in and replied with this 9 years ago , 4 minutes later, 7 minutes after the original post[^] [v] #762,333 numbers as we imagine them are not the same thing as concrete
Sheila LaBoof double-posted this 9 years ago , 3 minutes later, 10 minutes after the original post[^] [v] #762,334 you may take interest in the lectures of N. J. Wildberger
https://www.youtube.com/user/njwildberger Anonymous E joined in and replied with this 9 years ago , 9 minutes later, 20 minutes after the original post[^] [v] #762,340 An alternative solution is that nobody ever truly reaches their intended destination. It eludes our grasp.
Anonymous A (OP) replied with this 9 years ago , 28 seconds later, 20 minutes after the original post[^] [v] #762,342 @previous (E)
I like this interpretation.
Green !BEERiVqJJw joined in and replied with this 9 years ago , 5 minutes later, 25 minutes after the original post[^] [v] #762,348 Because travelling isn't maths.
Fake anon !ZkUt8arUCU joined in and replied with this 9 years ago , 2 minutes later, 28 minutes after the original post[^] [v] #762,349 Very carefully.
Anonymous H joined in and replied with this 9 years ago , 11 minutes later, 39 minutes after the original post[^] [v] #762,361 I have it on good authority that it is possible to travel from any one point to any other in only 15 minutes.
Anonymous B replied with this 9 years ago , 1 minute later, 40 minutes after the original post[^] [v] #762,362 @previous (H)
Agreed
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