is it just me or is he saying tortoise wrong.

But ... you cant go half the distance because you would have to go half of half of distance...and half of that

It applies even to the first centimeter... you have to go 5 mm...then 2.5, etc.
If that was true we could never move...at all!

I think there is a distance, a very small one, on a sub-atomic level that is actually the smallest possible distance atoms can travel.

#3 I agree with you, also the sum that he writes is approaching 0, which means that it will reach limit and of course on nano meter scale

This is a stupid paradox, it's only true if you confine the parameters to increases in distance by half, reality does not function like that. It's like arguing with a ball because it should never hit the ground, the ball does not care to fathom how or why it hit the ground, it'll never will, hence it's not paradoxical for it to hit the ground.

Why you so crazy, math?

http://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences

#5, the ball never really does hit the ground!

also we never really touch hands when we clap. our atoms have a magnetic force field which keep some atoms together and repels others. same goes for atoms of the ball, keeping it together, blocking surrounding atoms.

the shockwave sound of air moving out of the way and the disrupted momentum of the moving object creating another audible shockwave let's us know there is no more space left to move the object which is the point we call Touch.

Brady has a number of science related channels on youtube, and to my opinion numberphile is the lamest of them all.

On the video. If i live another second, and then another half second and then quarter etc... will i cease to exist after 2 seconds or am i just talking my bullshit that is only related to the next 2 sec. Same for the tortoise if you only consider the time before they get equal, you will never get to the time when they will get equal...

on the last question, when considering very small distances in the range of h (planks constant) things start to work in different ways than we are used to. For example you cant be sure of the position of the tortoise with e a certainty that low, so all of this looses its sense. And you will get there at some point. Basically physicists don't know much about times shorter than Planks time, i mean they don't know how things work at all in such time frames...

Plank time is roughly = 0.0000000000000000000000000000000000000000000048 seconds

#5 read #3.

For some reason... He reminds me of Sheldon from The Big Bang Theory...

Zeno's paradox falls apart in reality because reality is not analog. There's a smallest possible distance and a smallest possible time interval (Planck length and Planck time, respectively). After all the halving of distance and time, there comes a point where you either move a Planck length or you do not over an interval consisting of at least one Planck time (if it's one Planck length in one Planck time, you're going the speed of light).

Dealing with infinity is only required with the mathematical translation of the problem, and math is imaginary. Reality has no infinities, so there's no real paradox.

#11
Well I am not sure what is that Planck stuff, but I am sure it is a theory, a theory which may not describe reality correctly.

He is so excited! He loves maths!