If multiplication is \(ab = a\uparrow_1 b = \underbrace{a+a\cdots a}_\text{b times} \) and exponentiation is \(a^b = a\uparrow_2 b = \underbrace{aa\cdots a}_\text{b times}\), what is \(a\uparrow_{0.5} b\)?
I gave a talk about how to tackle this problem. You can find the slides at https://paurea.net/gama.pdf
#math #IntegralTransforms #abeliangroups

"The reason to care about the destiny of technology and our civilization is not merely because getting it wrong will be terrible but also because getting it right will be amazing. There is so much more at stake than averting apocalypse. There is ushering in utopia."

Read Walkaway by @pluralistic, be inspired, understand zottas and do by all means, Walkaway when necessary.
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@pluralistic said it better:
"His whole identity rests on the idea that the system is legit and that he earned his position into it fair and square and everyone else is a whiner."
also
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