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Normal_Anomaly comments on Open Thread: December 2011 - Less Wrong Discussion
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I've been wondering for several weeks now how to pronounce 3^^^3.
I generally just look at it as a picture, so as to not waste time sub-vocalizing.
Three to the to the to the three is how I do it.
I generally say "triple-hat" to myself when I read it.
3↑↑↑3. The use of ^ instead is a limitation of ASCII.
Knuth called it the "triple-arrow" operator. I don't see any conjugations necessary, so "three triple-arrow three".
"Three pentated by three" also works.