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math.andrej.com | ||
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gowers.wordpress.com
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| | | | | It's been a while since I have written a post in the "somewhat philosophical" category, which is where I put questions like "How can one statement be stronger than an another, equivalent, statement?" This post is about a question that I've intended for a long time to sort out in my mind but have found... | |
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adam.chlipala.net
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blog.computationalcomplexity.org
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| | | | | In my post about the myth that Logicians are crazy I mentioned in passing that Whitehead and Russell spend 300 pages proving 1+1=2 (but we... | |
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mikespivey.wordpress.com
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| | | It's fairly well-known, to those who know it, that $latex \displaystyle \left(\sum_{k=1}^n k \right)^2 = \frac{n^2(n+1)^2}{4} = \sum_{k=1}^n k^3 $. In other words, the square of the sum of the first n positive integers equals the sum of the cubes of the first n positive integers. It's probably less well-known that a similar relationship holds... | ||
