query: Is there a way to prove that i²=-1?
positive_passages.docid: 155285
positive_passages.text: difficulty of accepting $i^2 = -1$ for first timers
negative_passages.docid: 6721
negative_passages.text: math fallacy problem: $-1= (-1)^3 = (-1)^{6/2} = \sqrt{(-1)^6}= 1$?
negative_passages.docid: 92595
negative_passages.text: A problem regarding the in-equality of complex numbers .
negative_passages.docid: 77764
negative_passages.text: Is "$a + 0i$" in every way equal to just "$a$"?
negative_passages.docid: 89535
negative_passages.text: fake proof of $\forall a. \forall b. a = b \to 1 = 0$
negative_passages.docid: 114822
negative_passages.text: Prove or disprove an inequality involving complex numbers
negative_passages.docid: 92046
negative_passages.text: Proving $\sum\limits_{i=0}^n  i 2^{i-1} = (n+1) 2^n - 1$ by induction
negative_passages.docid: 150642
negative_passages.text: How to prove $\sum^n_{i=1} \frac{1}{i(i+1)} = \frac{n}{n+1}$?
negative_passages.docid: 46546
negative_passages.text: Express $-1+i$ in exponential form.
negative_passages.docid: 158335
negative_passages.text: Why is this $0 = 1$ proof wrong?
negative_passages.docid: 101169
negative_passages.text: Prove that $x^2 = - 1$ has no solution in $\mathbb{Z}$
negative_passages.docid: 16931
negative_passages.text: Can one do the maths of physics without using $\sqrt{-1}$?
negative_passages.docid: 77486
negative_passages.text: What is the value of $i^i$?
negative_passages.docid: 49444
negative_passages.text: Why isn't $e^{2\pi xi}=1$ true for all $x$?
negative_passages.docid: 154133
negative_passages.text: Flawed proof by induction that $a^{n-1}=1$
negative_passages.docid: 5526
negative_passages.text: Prove that $ℤ[i]^*= \{1,-1,i,-i\}$
negative_passages.docid: 2891
negative_passages.text: How to make the imaginary part of a +0. I zero globally?