8 - You Can't Get There From Here: Zeno and Melissus

Yes, it does--the limit. To the extent that Zeno's paradox can be phrased as a well-posed question at all, it can be answered in terms of basic limits in a way a Russian grade schooler could explain. Alternatively, if your interlocutor refuses to phrase the "paradox" in a well-posed way (e.g. "how can you perform an inifinite number of actions in a finite amount of time?" when "action" is not a well-defined term), it can simply be dismissed, since there's no point in arguing an ill-posed question. 

Any modern discussion of infinity--even analyzing ancient thinking--without a solid background in set theory and mathematical analysis is unproductive--mathematicians have had a good grasp of infinity for a while, and this will necessarily carry over to any philosophical concept. Worse yet, I suppose, is a superficial understanding like that of Hilbert's hotel given below.Hilberts hotel is just a demonstration of the difference between finite, countably infinite, and uncountably infinite cardinals, not any refutation of "actual infinity", whatever that means.  

These paradoxes cannot be "standardized" or distilled into mathematical "puzzles" that are somehow easily solved by Calculus or some stupid crud dude.



These thinkers, especially Zeno, are 100% Dualists, meaning to interpret, properly, the "puzzle" behind these paradoxes, one must:

 

Interpret them from THEIR framework(s).
Accept Infinities as conceptual fact.

Thinkers who want to "solve" these must understand this "Standard Solution's" main premise that necessitates its proof(s) is based and rooted in Modern science/math and most importantly and especially, Scientific Materialism. 

Achilles and the Tortoise

Assert first that Infinity is a conceptual truth - at least - in some sense//domain



Theoretically, in an Infinite Realm,

the Tortoise can elude 

the trained hunter Achilles;

because a SCENT

cannot linger

INFINITELY...

within and without

an infinity of concepts.



The Dichotomy

Root origin helps solve this and break it open for PHL understanding



... DICHOTOMEUS ...

Dicho - two
Tem - to cleave//spinover (fusion of concepts)
Meus - My Self (first person singular)
Mous - meek
My - accordingly / In agreement
Lytmos - appearance / character

Also...

S O N O L U M I N E S C E N C E 

​​​​

Where do vanished objects go? Into nonbeing, that is to say everything.

First I would like to say thank you for responding to my previous comments, next paradox, as I understand it, mean "A statement contrary to common sense, but yet may still be true. Next I was wondering, do you you have any recommendations on reading/listening for philosophy in the modern world, thanks