RE: Actual Infinity in Reality?
February 28, 2018 at 3:32 am
(This post was last modified: February 28, 2018 at 3:38 am by GrandizerII.)
Regarding Zeno's paradoxes, I found this interesting:
http://www.mathpages.com/rr/s3-07/3-07.htm
So, mathematically, Zeno's paradoxes are easily resolved. And from a physics standpoint, they've also been resolved (B-theory all the way). And various other solutions (e.g., finite universe in an infinite wider cosmos). So no issues there with Zeno. Pick whatever solution you're happy with.
Quote:Surely we can forgive Zeno for not seeing that his arguments can only be satisfactorily answered - from the standpoint of physics - by assuming Lorentzian invariance and the relativity of space and time. According to this view, with it's rejection of absolute simultaneity, we're inevitably led from a dynamical model in which a single slice of space progresses "evenly and equably" through time, to a purely static representation in which the entire history of each worldline already exists as a completed entity in the plenum of spacetime. This static representation, according to which our perceptions of change and motion are simply the product of our advancing awareness, is strikingly harmonious with the teachings of Parmenides, whose intelligibility Zeno's arguments were designed to defend.
http://www.mathpages.com/rr/s3-07/3-07.htm
So, mathematically, Zeno's paradoxes are easily resolved. And from a physics standpoint, they've also been resolved (B-theory all the way). And various other solutions (e.g., finite universe in an infinite wider cosmos). So no issues there with Zeno. Pick whatever solution you're happy with.