An effort to solve Zeno's motion Paradoxes

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Zeno's motion paradoxes can be resolved by substituting finite-sized points for infinitesimal geometric points, suggesting that movement occurs in discrete "jumps." The discussion highlights that Zeno's assumption of infinitely divisible space and atomic time leads to contradictions, particularly in the context of continuous spacetime. Various paradoxes, such as the Achilles and dichotomy paradoxes, are analyzed based on whether space and time are considered discrete or continuous. The consensus is that if spacetime is continuous, the paradoxes dissolve, as there are no irreducible units of time or space. Ultimately, the conversation emphasizes that the term "paradox" reflects challenges in understanding rather than actual impossibilities.
  • #91
Hmm, do you know the 'The Jewel Net of Indra'?
 
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  • #92
Originally posted by UltraPi1
You might find this a little nutso, but I think the whole purpose of the universe is to count (create) the finite empty spaces of an infinite space. This process is ongoing and will take forever to complete. Keep in mind that I consider existence to be purely conceptual. There are no physical entities. They only come across to you as being that way.
So your existence is a hodge podge of conceptually discrete empty spaces, and each space acts in accordance with our known physical (conceptual) laws.
Nothing, well written, in a philosophy forum, should be considered "nutso", especailly not the expression, simply, of idea/concepts/and/or/thoughts...so don't worry bout that..

It begs metaphysical, inasmuch as, resolving the Idea of 'Infinite', with existence, requires understanding(s) like; "In an infinity, the center can be everywhere!" as 'material existence' and 'Infinite' seem incompatable otherwise...but Xenos is a play 'tween Theory of math (language of math) and perception(s) of reality...

In a singular 'empty space' you could count to x ? Infinity? (absurdity) the number of "empty spaces" (non-existant) you could find, in there, then, A'la Xeno, when you think you have gotten them all, halve the space that that amount of numbers 'occupies', and keep counting!

(has the absurdity become clear to you, in that example?)
 

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