I’m a math undergrad, and I definitely spend more time in the second sort of style. I find that my intuition is rather reliable, so maybe that’s why I’m so successful at math. This might be hitting into the “two cultures of mathematics”, where I am definitely on the theory builder/algebraist side. I study category theory and other abstract nonsense, and I am rather bad (relative to my peers) at Putnam style problems.
I’m a math undergrad, and I definitely spend more time in the second sort of style. I find that my intuition is rather reliable, so maybe that’s why I’m so successful at math. This might be hitting into the “two cultures of mathematics”, where I am definitely on the theory builder/algebraist side. I study category theory and other abstract nonsense, and I am rather bad (relative to my peers) at Putnam style problems.