Zeno's Paradox

Dr James Grime is back and talking about tortoises.

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Picture of Zeusisgreat31 achievements

+3 1. Zeusisgreat commented 9 years ago

is it just me or is he saying tortoise wrong.
Picture of LightAng3l49 achievements

0 2. LightAng3l commented 9 years ago

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

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.
Picture of Sizzlik64 achievements

+9 3. Sizzlik (admin) commented 9 years ago

#2 its not about the real world..its about the math paradox
Picture of andriy299131 achievements

0 4. andriy2991 commented 9 years ago

#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
Picture of WildMonkey32 achievements

0 5. WildMonkey commented 9 years ago

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.
Picture of samxgx54 achievements

-1 7. samxgx commented 9 years ago

#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.
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0 8. ataneg commented 9 years ago

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
Picture of Urihep40 achievements

+2 9. Urihep commented 9 years ago

#5 read #3.
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0 10. bountyhunter53 commented 9 years ago

For some reason... He reminds me of Sheldon from The Big Bang Theory...
Picture of Thanny37 achievements

0 11. Thanny commented 9 years ago

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.
Picture of archis51 achievements

0 12. archis commented 9 years ago

#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.
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+1 13. iguasu commented 9 years ago

He is so excited! He loves maths!