Author Topic: Equal infinities  (Read 1394 times)

Nearly Sane

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Equal infinities
« 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/



Walter

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Re: Equal infinities
« Reply #1 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.

Udayana

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Re: Equal infinities
« Reply #2 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. (about 35 mins).
 
Ah, but I was so much older then ... I'm younger than that now

jeremyp

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Re: Equal infinities
« Reply #3 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.
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Udayana

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Re: Equal infinities
« Reply #4 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.
Ah, but I was so much older then ... I'm younger than that now