I was just wondering if there are really infinite halves of a set distance or if space could be made up of tiny quadrants? that is to say that if you were to reach out and touch something your hand could only get so close to it without actually touching it... any closer and you would touch it... which would meant that there are not infinite halves...and wouldnt this expain how in a black hole the matter could never reach zero radius... since the density of the matter would be limited by space itself?
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Zeno's paradox is true, but flawed in logic. The problem is that if you reach your hand toward an object as a fixed velocity, it will take half the time to reach the next half mark. The time required to cross to the next half mark will go toward infinity, the same as the distance. Thus, you cross infinite halfway marks, in infinitely short amounts of time, as it turns out, if you do the calculus, just adds up to the same amount of time it would have taken without the paradox.