I absolutely hated analysis for years after I got my degree for all the physics tangents in the calculus/advanced calculus sequence that I had to digest and memorize because they'd be on tests. I was interested in logic and combinatorics, and later topology via category theory. If I wanted to study physics, I would have signed up for physics classes. Mathematics is bigger than physics.

Yeah that's dumb. Engineers are taught that manufacturing is applied engineering, engineering is applied physics, and physics is applied math. Math isn't applied anything; it's the only discipline you can conjure out of pure thought. I would have figured the mathematicians would be insufferably reassured about that.

I get that, though I see myself leaning more and more toward physics as time passes. That said, both category and type theory help me a lot every day, even though it's rarely something I use directly.

Anyway, Arnold wrote it, so there's no surprise it's biased. I don't agree with the article, at least not in 100%. I did, however, find it has some good points and IMO it's thought-provoking enough to be shared.