While math and physics help us describe the world around us, some aspects of math and physics are not intuitive. This struck me as a good example.
To see the video, click on it from within this article.
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2 thoughts on “The sum of all positive integers is what ?!!!”
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I think it is wrong because the assumption that a divergent series tends to a number seems wrong to me. That series never actually can give 0.5, so how can it tend to it? Makes no sense. This makes the rest of it meaningless.
@ will Handler… While this entire topic is well beyond my level of expertise, I’m intrigued by the non-intuitive result. Listening to the Video and following the comments thread at the same website – a greater understanding of the the Cesaro Summation and Grandi’s Series will be my next challenge before I can accept your comment – ‘carte blanche’. That this sum is quoted in String Theory text also leaves me to continue pondering the result.