What is the Dean Paradox and How Does it Relate to Zeno's Paradox?

[prasanga]

TL;DR

A paradox exposing a fundamental disconnect between the logic that underpin physical theories of reality

I found on Stackexchange -physics this paradox that
undermines physics by exposing a fundamental disconnect between the logic that underpin physical theories of reality

the dean paradox-of colin leslie dean

Dean’s paradox highlights a core discrepancy between logical reasoning and lived reality. Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end. Yet, in practice, the finger does move from the beginning to the end in finite time. This contradiction exposes a gap between the abstract constructs of logic and the observable truths of reality. Thus The dean paradox shows logic is not an epistemic principle or condition thus logic cannot be called upon for authority for any view

https://physics.stackexchange.com/q...-by-exposing-a-fundamental-disconnect-between

 

[Frabjous]

These sort of issues are generally resolved by the concepts of limits and infinity that one is first exposed to in calculus.

 

[Drakkith]

Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end.

I disagree that logic says it is impossible to traverse an infinite number of points in finite time.

 

[Filip Larsen]

Seems like a variation of Zeno's paradox going back thousands of years.

Philosophy has traditionally always had trouble digesting the concept of infinity, but why someone would considered it a serious issue in modern times is a bit beyond me.

 

[Demystifier]

Finite time interval also contains an infinite number of points on the time-line. So traveling through an infinite number of space points takes an infinite number of time points, I see no paradox. :)

 

[PeroK]

Finite time interval also contains an infinite number of points on the time-line. So traveling through an infinite number of space points takes an infinite number of time points, I see no paradox. :)

In a way, this exemplifies the difference between science and philosophy. Science starts by observing motion and developing the mathematics to model it. Philosophy starts from pure thought and concludes that motion is impossible.

 

[javisot]

If we consider that the distance between two consecutive points on the time-line is increasingly smaller, we can obtain an infinite sum that converges.

 

[PeterDonis]

Thread closed for moderation.

 

[Drakkith]

This is nothing but a rehash of Zeno's paradox and the quoted content in the original post is crackpot nonsense. Thread will remain closed.