No, that wouldn't ever happen, because you're summing to n to infinity which is infinity. 

There are an infinite amount of steps. If the runner stops for n seconds (n>0) each step, he will never catch the tortoise. 

Yes but the time decreases each step which is what solves the paradox. Here the time stays the same. 

It depends. If the time was 1 then 1/2 then 1/3 then 1/4 then 1/5 etcetera, no it wouldn't. If the time is 1 then 1/2 then 1/4 then 1/8 then 1/16 (as is the case in Zeno's paradox) then it would. 

I thought of something that might be a real example, you know how your weight increases exponentialy as you reach the speed of light, well it is said that you'd have to way infinite pounds to catch up with light. But light somehow goes that fast. 

I wanna be the very best
Like no one ever was
To lucid dream is my real test
To control them is my cause
When you say weight, do you mean a force or do you mean mass? 

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Then that makes no sense. How can mass increase when you increase speed? You can't create matter. 

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No, http://en.wikipedia.org/wiki/Pound_(mass) 

I wanna be the very best
Like no one ever was
To lucid dream is my real test
To control them is my cause
If you have mass, then your mass will multiply until it reaches infinity at the speed of light. According to the kinetic energy equation, 1/2mv^2, this would require infinite energy, which is impossible. 

It's not mass that increases. Einstein may have used the word mass, but that was a mistranslation. Modern physicists understand that it's momentum, not mass, that approaches infinity, and only from the perspective of an outside observer, of course. 

Momentum? Is that not just a consequence of your mass increasing though? Because your velocity is bounded by c. 



Xaqaria
The planet Earth exhibits all of these properties and therefore can be considered alive and its own single organism by the scientific definition.does the planet Earth reproduce, well no unless you count the moon.7. Reproduction: The ability to produce new organisms.
But momentum can be calculated by the product of mass and velocity? 

No, it can't. That's a special case which only applies to large, slow moving objects not in the vicinity of a vector potential field. 

Uhhh okay. I'll come back when I'm an undergrad. 

Hmmm... somebody calculate e^pi  pi. 

20? 

You dirty physicist. 

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