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vorgol | 7 months ago

Can you meaningfully study advanced math without understanding algebra?

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elric|7 months ago

Depends on your definition of both of those terms. Being able to solve a simple equation is generally useful. You probably don't need much more than that to understand Set Theory or much of Logic. You can learn to write proofs without knowing calculus, etc.

Maths is such a wide field that terms like "advanced" have little meaning imo. Or rather, advanced doesn't have to mean complex, and even complex doesn't have to mean inscrutable. But then even simple problems can turn out to be fiendishly hard.

bravesoul2|7 months ago

Advanced means you got through the basic quick enough to need more stuff to do. Or move up a year early.

Lesterrr|7 months ago

Advanced math builds on algebra, without it, most concepts won’t fully connect.

ekm2|7 months ago

Yes.

Substitute Algebra with Combinatorics and you will be fine.I do not understand this Algebra worship.Speaking as someone who graduated magna cum laude in in College Math.

griffzhowl|7 months ago

I'm struggling to see how this makes sense. What's the evidence that someone can study advanced maths without understanding middle school algebra? It underlies calculus, analytic geometry, even a lot of combinatorics.

tim333|7 months ago

Algebra seems kind of fundamental to things like physics and chemistry.

anthk|7 months ago

Say hello to rings.