[Jensson]

> The core of math, as GP mentioned, is learning proofs.

That is the midpoint, the core goal of math is getting enough intuition that facts are obvious, the proofs are just a guide to get you there.

This means you shouldn't study proofs, you should study facts, the proofs are just an example of how to support that fact, you can prove things in many different ways and also many things can be constructed in many different ways and still have the same properties. All of that is much easier when you think in terms of facts instead of proofs.

If you struggle with proving something then you don't understand it. If you memorize a proof for it, then you still don't understand it. The right path to take is to build understanding and then the proofs comes on their on.

[srcreigh]

It’s a cliche mathematician debate. I don’t disagree. In any case, if you aren’t able to do proofs, you don’t do math.