Lucy Keer

transfinites to grok the reals, and topology to grok continuity, and then I could appreciate abstract analysis as an application of that, >

and then work my way down to actual differential equations. Obviously I am a weirdo. But suspect that math is *best* taught by combining >

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.