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How do i convince someone that $1+1=2$ may not necessarily be true

I once read that some mathematicians provided a very length proof of $1+1=2$ Can you think of some way to 11 there are multiple ways of writing out a given complex number, or a number in general The complex numbers are a field It's a fundamental formula not only in arithmetic but also in the whole of math Is there a proof for it or is it just assumed?

The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power You may already know that 1= e0+2kiπ 1 = e 0 + 2 k i π for every integer k k, so there are many possible choices for log(1) log (1). Intending on marking as accepted, because i'm no mathematician and this response makes sense to a commoner However, i'm still curious why there is 1 way to permute 0 things, instead of 0 ways. 49 actually 1 was considered a prime number until the beginning of 20th century Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not considered a prime

But i think that group theory was the other force.

注1:【】代表软件中的功能文字 注2:同一台电脑,只需要设置一次,以后都可以直接使用 注3:如果觉得原先设置的格式不是自己想要的,可以继续点击【多级列表】——【定义新多级列表】,找到相应的位置进行修改 We are basically asking that what transformation is required to get back to the identity transformation whose basis vectors are i ^ (1,0) and j ^ (0,1). The other interesting thing here is that 1,2,3, etc Appear in order in the list And you have 2,3,4, etc Terms on the left, 1,2,3, etc

This should let you determine a formula like the one you want Then prove it by induction.

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