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 18h comment Zero to the zero power - is $0^0=1$? To say something is undefined you should be sure nobody defined it. 18h revised Why isn't $e^{2\pi xi}=1$ true for all $x$? has nothing to do with euler's constant Feb 3 awarded Revival Jan 20 revised Does Euler-Mascheroni constant belong to the ring of periods? added 60 characters in body Jan 1 revised Are there real numbers that are neither rational nor irrational? edited body Dec 19 comment Zero divided by zero must be equal to zero You can define division this way, but it is not the only possible way, actually. One can define 0/0=0 and have everything fine in a ring (not only empty ring). Dec 18 comment Zero divided by zero must be equal to zero The second statement does not follow from axioms of ring. Division is not defined on rings. Dec 15 comment Is there a function whose antiderivative can be found but whose derivative cannot? @ASKASK Where in the question he says he asks for an elementary function? He asks for an integrable function whose derivative is not elementary. There is a lot of such functions. Dec 15 comment Is there a function whose antiderivative can be found but whose derivative cannot? totally wrong answer. Dec 10 comment Zero divided by zero must be equal to zero @Akiva Weinberger while such algebras can be constructed, they definitely are not natural. From the algebraic point of view it is much more natural to postulate $0x=0$ for any $x$, including $x=0$ and $x=\infty$. Similarly to how everything to the $0$ power is $1$, including $0$ and infinity. Dec 7 comment Zero divided by zero must be equal to zero There is no proof above that 0/0 cannot equal to 0. Or more precisely, there is a proof but it is wrong, which has been indicated. Dec 7 answered Zero divided by zero must be equal to zero Dec 5 comment Zero divided by zero must be equal to zero There is an error here: $$1 = 0 + 1 = \frac{0}{0} + \frac{1}{1} = \frac{0 \cdot 1}{0 \cdot 1} + \frac{1 \cdot 0}{1 \cdot 0} = \frac{0 \cdot 1 + 1 \cdot 0}{0 \cdot 1} = \frac{0 + 0}{0} = \frac{0}{0} = 0$$. The error is in that you cannot multiply a numerator and denomenator both by zero. E.g., $\frac1{1}\ne\frac{1\cdot0}{1\cdot0}$. Nov 28 comment The trigonometric solution to the solvable DeMoivre quintic? You claim that a general quintic can be solved in terms of trigonometric/hyperbolic functions. But your further explanation includes theta function and eliptic integrals. Nov 25 comment Does infinity and zero really exist? In what theory? About what theory you are asking? If you are asking about physical world, you should ask in physics.se Nov 23 revised Is there a metric in which 1+2+3+4+… converges to -1/12? edited body Nov 23 revised Why does $1+2+3+\cdots = -\frac{1}{12}$? edited body Nov 21 comment Is there a name for the class of functions which are infinitely integrable in elementary functions? There are rational functions (fractional) whose integrals are elementary. Nov 21 comment What makes elementary functions elementary? Real part, imaginary part, absolute value and argument are not elementary functions, it is a convention. Also your trick works only for real arguments. Nov 9 revised square root of two is 1.41…, can we evaluate infinite(th) root of 2? added 3 characters in body