Lucy Keer

as many different styles of explanation as possible, because you get different intuitions from each.

Arnold is IMO overreacting (perhaps for performative and political reasons) against the horrors of mid20C French mathematics.

That era was something of a Grothendieck cargo cult, and did for mathematics education what Le Corbusier did for architecture. Still...

Speaking as a perhaps-decent algebraist once upon a time who nevertheless is hopeless at both logic AND physics.

I was hopeless at algebra, so maybe that is my problem...

I remember being blown away by the proof of Galois’ theorem, as being qualitatively bigger than anything I’d encountered before.

Some day maybe I'll learn Galois theory in a form I can understand. It's so obviously pretty that even I can tell I'm missing out :(

Wish I could explain it in 140 chars, but a minimal prerequisite would be remembering how the proof works… and it’s been 35 years