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+---- Thread: things that make me rationally angry (but are also really cool at the same time) (/showthread.php?tid=2134)
things that make me rationally angry (but are also really cool at the same time) - a52 - 01-30-2017
godel's incompleteness theorems
church 'n' turing's uncomputability proofs
the heisenberg uncertainty principle
non-integrable functions that clearly have a sensible integral (like 1/ln(x))
(similarly, unsolvable dif. eq. that have a simple and sensible numerical solution)
the fact that there are probably irrational numbers that are impossible to describe other than by listing their infinitely many digits
long addition
RE: things that make me rationally angry (but are also really cool at the same time) - Kaynato - 01-31-2017
Regarding integrability, it's fairly common practice to just define non-elementary functions, like for that case, li(x)