Quote:

It's math. It doesn't have to make sense, it just has to be mathematically correct.




The term "true" in math stands for "consistent"
You start from some some definitions and you draw some conclusions
The conclusions must be logic but the definitions are neither true nor false
They are definitions, that's it
In case of Zeno's paradox , it is implicit that ZENO speaks of " mathematical points" i.e of a dimensionless entitities
In this case only ,he can exactly define the event

the arrow reaches the target,being equivalent to

the point "A" of the arrow and the point "B" of the target overlaps

If for point you mean a "physical point" i.e something very small but with dimensions than the Zeno's paradox does not make any sense

Obviously the "mathemtical point" does not exist , it is just an abstraction


However I dont agree, if I have correctly understood your opinion, that Zeno's paradox leads to a endless discussion
The Zeno's paradox has been solved about 400 years ago and all the scientific comunity agrees with the solution

Last edited by AlbertoT; 09/28/07 19:42.