I remember being blown away by the proof of Galois’ theorem, as being qualitatively bigger than anything I’d encountered before.
Starting from G(C/R) gives an intuition I didn’t remember and may or may not have gotten at the time…
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That doesn’t give an intermediate field; https://en.wikipedia.org/wiki/Fundamental_theorem_of_Galois_theory … uses Q(√2,√3) which is quite intuitive
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That's the one I remember, but course was contextless 'bla bla splitting field bla solvable group bla'. Understanding something this time!
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