A demo about Paradox of Zenone (the first and the third specifically)

[TempodiBasic]

Hi
this is a thread for who loves mathematica and phylosophy, please go away towards other thread if you don't have this kind of love.

Introduction:
In the ancient greek a philosopher of the school of Parmenide from Elea (so they had been called Eleatics) uses logic thinking to bring the student to a logical deduction contrary to the experience of the life of every day.
We cannot move to reach a target because between we and the target there are infinite halfpaths. (First paradox)
We cannot hit with an arrow a target because the arrow cannot move towards target because its movement is the sum of infinitesimal state of standing stopped into a infinitesimal slice of time. (third paradox)


Coding:

Code: QB64: [Select]

1. Option _Explicit
2. _Title "Paradox of Zenone: concepts of limit and infinitesimal"
3. Const Limit = 400
4. Dim As Single Sum, Lenght, cycle
5.  
6. Lenght = Limit / 2
7. Sum = Sum + Lenght
8. Do
9.     cycle = cycle + 1
10.     Lenght = Lenght / 2
11.     Sum = Sum + Lenght
12.     Print Sum, cycle
13.  
14. Loop While Sum < Limit
15. Print cycle

we got 23....
while this one seems to be infinite

Code: QB64: [Select]

1. Option _Explicit
2. _Title "Paradox of Zenone: concepts of limit and infinitesimal"
3. Const Limit = 400
4. Dim As Single Sum, Lenght, cycle
5.  
6. Lenght = Limit / 2
7. Do
8.     cycle = cycle + 1
9.     Lenght = Lenght / 2
10.     Sum = Sum + Lenght
11.     Print Sum, cycle
12.  
13. Loop While Sum < Limit
14. Print cycle

These arguments lead us to the mathematical concepts of limit and infinitesimal calculus.
In the while many ancient and modern phylosophers have tried to solve the Zenone's paradoxes without a mathematical approach.
here some solutions of these paradoxes
https://en.wikipedia.org/wiki/Zeno%27s_paradoxes#Proposed_solutions