Michel wrote:Well, I don't think he was much of an idiot, Fmonroy, since he is still remembered today. His point was, and still is valid today. Basically it says that if somethings sums up, it doesn't necessarily mean that it is true.
Yes, I'm sorry for that, got excited
Still I think a lot of people is remembered by their mistakes
Michel wrote:Say that Hercules let the tortoise to have an advance of X feet since he runs twice as fast; when he has come to where it started, the tortoise has moved X/2, and when he reaches that point, the tortoise has still an advance of X/4, and so on. In other words: Hercules can never overcome the tortoise. The math proves it. Yet a child knows that if the distance is not limited, at a certain point Hercules must overcome the tortoise and it does. But the math adds X/2 + X/4 + X/8 + X/16, etc. It ignores that time is equally divided in the equation. The math is correct; if Hercules runs twice as fast, they will be abreast after covering a distance equal to twice the lead. But ... time doesn't stop, does it?
The problem is that Zeno's approach is going to infinite: distance/infinite
and there trying to get the speed you have 0/0 that is undefined... that's the paradox
. Exactly as you say, he is mixing a time concept (speed) with timeless concepts(time/infinite).
To deal with those concepts math has differential calculus which introduces the "change" factor: it is infinitesimal but it's different for Hercules and the tortoise, because the rate at wich changes distance over time is different for each individual.
Michel wrote:Likewise, I am sceptical to any notion of the universe, space and time, based on numbers and equations only.
Me too my friend
Michel wrote:... Incidentally, no one has yet understood why I maintain the bridge is closer to London than Oxford?
maybe because London is at the east and earth's rotation movement is going that way? just guessing