V1C3M4N said:
Squidden said:
How long will it take you to cross a crosswalk if with each step, you cut the distance you walked with the prior step by half?
How big is the first step, not really a paradox
I think we can assume that it's half the distance of the crosswalk. If you really want to nitpick at things like _that_ and try to take the entire post absolutely face value, then we also either have to assume that he's never stood anywhere but at the edge of the sidewalk, or we have to know the distance he took with the step that _brought_ him to the edge of the sidewalk. It was poorly worded, but I'm sure you can figure out what the intent behind the post was.
As someone has posted before: Dictionary.com says:
par·a·dox   
[par-uh-doks] Show IPA
?noun
1.
a statement or proposition that seems self-contradictory or absurd but in reality expresses a possible truth.
2.
a self-contradictory and false proposition.
3.
any person, thing, or situation exhibiting an apparently contradictory nature.
4.
an opinion or statement contrary to commonly accepted opinion.
By number 3 (or possibly number 4) this problem _is_ a paradox, it's easier to see why if it's worded thus: "Why, if the distance between two objects can be infinitely halved, can anyone reach any object? (Crosswalk scenario here)." It is a situation that is apparently contradictory in nature. People can obviously reach objects any distance from them given time, but the statement is also true, the distance between the person and the object _can_ always be halved (unless the distance is 0).
Edit:
V1C3M4N said:
Infinity is a paradox, because nothing can be infinite. The Universe and time are not infinite, even though scientists keep claiming so, I can prove that the Universe and time are is not infinite through three aguments using two methods, one logic, the other physics.
Ask me if you want proof.
Side note, if/when the ice caps melt, sea levels will not rise. Tell that to the hippies.
The number of distinct points between the numbers 1 and 0 _is_ infinite.
Infinity does "exist" and there most certainly are infinite numbers of "things" in this universe. Physical things maybe not, but things in the loosest definition of things yes.