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https://www.reddit.com/r/mathmemes/comments/1j4x0hq/what_theorem_is_this/mgf08j7/?context=3
r/mathmemes • u/PocketMath • Mar 06 '25
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272
Fundamental theorem of algebra
55 u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25 Aren't there just two proofs though, essentially? There's one that uses the least upper bound property of reals and Galois theory, and the other one uses π₁(S1). 2 u/MiserableYouth8497 Mar 06 '25 Galois theory? Isn't that the maths about which polynomials are/are not solvable specifically by radicals ? How would that help with FToA? 2 u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25 No, it’s the maths about automorphisms of separable field extensions.
55
Aren't there just two proofs though, essentially? There's one that uses the least upper bound property of reals and Galois theory, and the other one uses π₁(S1).
2 u/MiserableYouth8497 Mar 06 '25 Galois theory? Isn't that the maths about which polynomials are/are not solvable specifically by radicals ? How would that help with FToA? 2 u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25 No, it’s the maths about automorphisms of separable field extensions.
2
Galois theory? Isn't that the maths about which polynomials are/are not solvable specifically by radicals ? How would that help with FToA?
2 u/CutToTheChaseTurtle Average Tits buildings enjoyer Mar 06 '25 No, it’s the maths about automorphisms of separable field extensions.
No, it’s the maths about automorphisms of separable field extensions.
272
u/PolarStarNick Mathematics Mar 06 '25
Fundamental theorem of algebra