https://mathforlove.com/2011/06/breaking-mathematics/ Transforming how math is taught and learned. Mon, 06 Oct 2025 11:42:44 +0000 hourly 1 https://wordpress.org/?v=6.9 https://mathforlove.com/2011/06/breaking-mathematics/#comment-51904 Mon, 06 Oct 2025 11:42:44 +0000 http://mathforlove.wpengine.com/?p=3103#comment-51904 Ok. 3^1/2 x 3^1/2=3. That means 3^1/2=√3. If you really want to get breaking, how about Knuth arrow notation? 3^3 = 3↑3, 3↑↑3 is called 3 tetrated to 3 and is 3↑3↑3 with 3 threes. of course. This is 7625597484987, oh dear. How about 4↑↑3? 4^4^4 is 4^256 = uh-oh with 155 digits. 3↑↑4 has trillions of digits. Then we can add the ↑↑↑ notation, and 3↑↑↑3 is 3↑↑3↑↑3 is 3^3^3^3^3^3… with 7625597484987 3s.

]]>