On Feb 28, 1:08 pm, Hongyi Zhao <hongyi.z...@gmail.com> wrote: > Hi all, > > As is well known to all, the complex field is the most comprehensive > field for now. But, I want to know is it possible or not to create a > number filed which is bigger than the complex field? Why or why not? > > Any hints will highly appreciated. > > Best regards > -- > .: Hongyi Zhao [ hongyi.zhao AT gmail.com ] Free as in Freedom :.
Define "most comprehensive field", please. And, for example, the field of functions C(x) = the fractions field of the integral domain C[x] = all the polynomials with complex coefficients, is a field with canonically contains an isomorphic copy of C and thus, in this sense, is much "larger" than C itself.