RE: Actual Infinity in Reality?
March 6, 2018 at 7:34 am
(This post was last modified: March 6, 2018 at 7:38 am by GrandizerII.)
From the Internet Encyclopedia of Philosophy:
https://www.iep.utm.edu/infinite/
What logical contradiction specifically? Zeno's dichotomy paradox isn't an argument against an actual infinity. It's called a paradox of motion, not a paradox of infinity.
Did you read at least the first few and last few paragraphs from the article?
Quote:The term actual infinity is now very different. There are actual infinities in the technical, post-1880s sense, which are neither endless, unlimited, nor immeasurable. A line segment one meter long is a good example. It is not endless because it is finitely long, and it is not a process because it is timeless. It is not unlimited because it is limited by both zero and one. It is not immeasurable because its length measure is one meter. Nevertheless, the one meter line is infinite in the technical sense because it has an actual infinity of sub-segments, and it has an actual infinity of distinct points. So, there definitely has been a conceptual revolution.
https://www.iep.utm.edu/infinite/
(March 5, 2018 at 8:38 am)RoadRunner79 Wrote:(March 4, 2018 at 6:18 pm)Grandizer Wrote: Of course time is a factor.
Heres the article which I linked to a few pages back, and which addresses Zenos motion paradoxes from a physics standpoint.
http://www.mathpages.com/rr/s3-07/3-07.htm
Read the second last paragraph at least, if you dont want to read the whole thing. Though the whole thing is an interesting read.
What do you think in that addresses the logical contradiction being presented in Zeno's paradox?
What logical contradiction specifically? Zeno's dichotomy paradox isn't an argument against an actual infinity. It's called a paradox of motion, not a paradox of infinity.
Did you read at least the first few and last few paragraphs from the article?