RE: Actual Infinity in Reality?
March 3, 2018 at 7:40 am
(This post was last modified: March 3, 2018 at 8:18 am by GrandizerII.)
Quote:Mathematicians are an interesting bunch. They are very, very rigorous when it comes to analyzing implications – what follows from what. They do not seem nearly as rigorous when it comes to analyzing presuppositions – what precedes from what. In fact, they do not even seem to be aware of their own presuppositions. I’ve been told countless times, “It’s absolutely certain that Cantor proved the existence of different sizes of infinite sets! Mathematicians have double-checked his work for a century!”
But they don’t seem to be aware of one problem: what if the presuppositions of Cantor’s proof are wrong? What if – specifically – the concepts that he presupposed were imprecise.
Great, so disprove these "presuppositions". Show us how they're wrong. Steve Patterson can say whatever he wants, but even he has the burden to show that the concepts are problematic.
(March 2, 2018 at 12:28 pm)SteveII Wrote: This is the type of article I have asked from Grandizer and Polymath for 40 pages. Where are the philosophy articles that defend an actual infinite in the real world?
Physicists not good enough for you anymore? No problem. Anytime you read about Cantor's set theory, you are implicitly reading about a philosophy that defends an actual infinity. Also, it looks like you've already forgotten about Wes Morriston. Didn't you quote him earlier somewhere?
