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 Aug19 accepted Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? Aug19 comment Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? @Henning Ah yes, that was it, thanks for spotting it! Aug19 revised Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? added 3 characters in body Aug19 comment Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? @HenningMakholm Ah yes you're right. Then it means that I probably read about another famous theorem that was proved unprovable within ZFC. And Asaf, yes, you're right, thanks, and I originally tagged it as soft as I did not expect a proof or anything very concrete, given the question asked. Aug19 asked Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable? Aug15 revised Derivative of step functions added 178 characters in body Aug15 comment Derivative of step functions @JoeJohnson126 Yes, that is what I am asking. And besides that, what is derivative of any individual f (since f is a limit of functions $\lim_{n \rightarrow \infty} f_n(x)$) what is ${f'}_n(x)$ ? Aug15 comment Derivative of step functions Yes, that link illustrates exactly what I mean. With the difference that where I assumed the derivative was infinite, it actually wasn't defined. And this brings me to my question: given that derivative, how can it's integral (Lebesgue or otherwise) be any other value than 0? Aug15 comment Derivative of step functions The derivative of step functions. Because as I said, it seems to me that the classical approach (The one used together with Riemann-Darboux) would yield a derivative with a range of ${0, \infty, -\infty}$. Aug15 comment Derivative of step functions Is it more clear now? Aug15 revised Derivative of step functions clarification Aug15 asked Derivative of step functions Aug15 comment How do Taylor polynomials work to approximate functions? Absolutely awesome visualizations, thanks for the link! Aug15 revised How do Taylor polynomials work to approximate functions? added 399 characters in body Aug15 answered How do Taylor polynomials work to approximate functions? Aug14 revised Help in understanding integration by changing the variable added 104 characters in body; edited title Aug14 comment Help in understanding integration by changing the variable And any tips on which to choose as $f(x)$ and which as $g'(x)$ or something? Aug14 asked Help in understanding integration by changing the variable Aug13 accepted Question about continuous functions and indefinite integrals Aug13 comment Question about continuous functions and indefinite integrals Ah, it seems that the book wasn't clear enoug. Yes there are functions that satisfy those conditions, but what I was reffering to was that there is no way of expressing it in elementary terms. And isn't $0^0 = 0$ and if not, then I can ask about $[0.5, 1]$ there still isn't an elementary way to express it.