Hello I don't know a whole lot about mathematic philosophy, but I am truly interested. I am learning about Parmenides and then of course Zeno and I was asked if I could disprove Zeno logically or mathematically. Specifical to disprove the theory of motion and change is an illusion. And even more Specifically I want to disprove Zeno's Achilles racing the turtle paradox. Can anyone help me out I have pondered for quite a while and can't figure out a way (do i seem dumb?). At first I thought of a possible unit of measurement that is indivisible. Theoretically is there no such thing? When trying to logically disprove Parmenides no movement thing I thought about a possible mistake in his reasoning of the language of the word "nothing". This is new to me but apparently this is ground breaking due to the fact that the logic is good but it is still wrong. Also I have herd of del x "a name I cannot remember"'s uncertainty theory well that just confused me a whole bunch. So can any one help me out. Could you say, if it is not to much trouble and if you know, both ways to disprove both Parmenides and Zeno but any help what so ever is greatly appreciated.