Good Read :)

Good read, kudos of Quora. I 100% agree with this response; particularly the part about the rigorous proof of algebra versus the intuition of continuous math. Analysis and other continuous math - while it's beautiful and I deeply respect it and find it interesting - sometimes left a bad taste in my mouth in terms of proofs. Yes, most analysis proofs were very concrete and algebraic or set theoretic, nuts and bolts type-stuff.  But there were just some proofs in analysis where the reasoning from the experts was basically "Well, just because." or "Why not?". Hand-waivey type stuff. Like they could see some bigger picture that I could not. And hell, that's probably true, they probably could. Hats off to analysts. Of course I'm oversimplifying here and really it was probably just on me for not understanding something correctly with these analysis proofs... but I've never had that problem with algebra or logic. No "well, just because." type answers. Everything has a reason, no matter how small and hard to see.