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Aug
19
accepted Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable?
Aug
19
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!
Aug
19
revised Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable?
added 3 characters in body
Aug
19
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.
Aug
19
asked Is there a non-contradictory non-trivial axiomatic system in which Gödel's theorem is undecidable?
Aug
15
revised Derivative of step functions
added 178 characters in body
Aug
15
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 ${f'}_n(x)$ ?
Aug
15
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?
Aug
15
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 ${0, \infty, -\infty}$.
Aug
15
comment Derivative of step functions
Is it more clear now?
Aug
15
revised Derivative of step functions
clarification
Aug
15
asked Derivative of step functions
Aug
15
comment How do Taylor polynomials work to approximate functions?
Absolutely awesome visualizations, thanks for the link!
Aug
15
revised How do Taylor polynomials work to approximate functions?
added 399 characters in body
Aug
15
answered How do Taylor polynomials work to approximate functions?
Aug
14
revised Help in understanding integration by changing the variable
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Aug
14
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?
Aug
14
asked Help in understanding integration by changing the variable
Aug
13
accepted Question about continuous functions and indefinite integrals
Aug
13
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.