Comment by dboreham
9 hours ago
I don't know that "Weirdly" is right for the polynomial equivalence -- isn't that what Galois was trying to do in the first place (prove things about polynomials such as the impossibility of analytic solutions to higher order polynomials, and the impossibility of constructing a heptagon)?
I read the "weirdly" as "unexpectedly", i.e. "you might not see this coming, but it's still true (and there's deep theory behind it)".
A bit, yeah. I deleted a comment where I said it's not quite the same but it kinda is, and figuring it out is very rewarding.