Does this falsify that there are infinite numbers between two rational ones? Or is movement a mere illusion
Zeno's paradoxes are reducto ad absurdums designed to support Parmenides' ontological monism and ridicule the Ionian notion of a pluralistic world. He wasn't trying to falsify the notion of an infinitude of numbers between two numbers, I don't know where you got that from.
To everyone who thinks I'm trying to make a specific point: I am not. I just do not understand this, and had the idea that this would somehow disprove the notion if infinitude of numbers between the numbers, because it states the impossibility to complete infinite tasks
It don't state the impossibility to complete infinite tasks
It just proves, via an absurdity that two moving objects moving at different speeds and at the same direction, having two different starting points can never meet despite if one is going faster or slower
The hot topic of the Pre-Socratic days was over the metaphysics of change and the ultimate constitution of the world, whether that entailed being, becoming, or both. Parmenides' Eleatic school of thought, to which Zeno found himself a part of, believed the world consisted of the One, consisting only of static Being and denied the reality of change (or generation). It's actually rather simple logic predicated on acknowledging that nothing cannot exist and thus the world must have always been and something cannot be generated from nothing. The founder of the Ionian school, Heraclitus, thought the world, at its core, was only that of Becoming; everything's in constant change, nothing ever just is. Hence the famous mantra "you cannot walk into the same river twice."
Zeno was just trying to show that Heraclitus was stupid for believing the world could be divided into parts, because it inevitably leads to several paradoxical accounts of motion and the like.
>idiots can't into calculus
>still claims Zeno's "paradox" is unsolved
it means literally try doing a minute of research next time you 12 year old
>Does this falsify that there are infinite numbers between two rational ones?
Not sure where you get that from. If anythin it proves there are infinite numbers as you continue dividing the units between two integers and still receive a new number that exists between two numbers.
As for moment being a mere illusion the answer to that comes from Calculus. Movement is simply the convergence of an infinite series.