I notice this learning maths as an adult. A good intro to logic and proofs opened up a new world. After struggling with a proof, I came to the conclusion that I needed to study the axioms I was obviously expected to know futher - most importantly, I wanted to. How did I want to study and understand them? By proof.<p>I remember a similar course with programming, actually. One curiosity led to the next once I equipped myself with the tools to think and experiment with computers.