Religion and Ethics Forum

General Category => Science and Technology => Topic started by: Nearly Sane on September 19, 2017, 06:31:44 AM

Title: Equal infinities
Post by: Nearly Sane on September 19, 2017, 06:31:44 AM

I don't think the article gives enough details for the case to be made but then if it did I probably wouldn't understand it.



https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/


Title: Re: Equal infinities
Post by: Walter on September 19, 2017, 09:31:00 AM
I don't think the article gives enough details for the case to be made but then if it did I probably wouldn't understand it.



https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/
when i studied maths it was split into pure and applied. I loved the applied part but could never really get my head round the pure part . I could see the point but it wasn't going to help me build a bridge , for example.
Title: Re: Equal infinities
Post by: Udayana on September 21, 2017, 01:02:16 PM
The article does give enough information to see how the proof can work. Anyone needing to understand the full proof needs years of prior study to understand the theorems used - a bit like Wiles proof for Fermats last theorem.

You might like this: Ramanujan: Making sense of 1+2+3+... = -1/12 and Co. (https://www.youtube.com/watch?v=jcKRGpMiVTw) (about 35 mins).
 
Title: Re: Equal infinities
Post by: jeremyp on September 23, 2017, 05:00:14 PM
I don't think the article gives enough details for the case to be made but then if it did I probably wouldn't understand it.



https://www.quantamagazine.org/mathematicians-measure-infinities-find-theyre-equal-20170912/
Yes it does. It says that it's been proved.

What it doesn't do is give you enough detail to verify that for yourself. But then it couldn't. If you or I or anybody here had the mathematical tools to b able to verify the proof, we would be reading the original paper, not this article.
Title: Re: Equal infinities
Post by: Udayana on October 29, 2017, 12:18:35 PM
https://www.quantamagazine.org/to-settle-infinity-question-a-new-law-of-mathematics-20131126/

Another Quanta article, that provides the broader (and more accessible) maths background that the OP article is related to.