I'm wondering, for those of you who are advanced in pure mathematics, if you noticed a significant change in your general logical reasoning skills outside of mathematics after you became proficient at proofs? I'm new to pure math, just learning number theory and combinatorics right now as my introduction to proof-based math. But I'm feeling like the reasoning skills you use when writing proofs could be applied to many things besides math. Do you guys feel like you can see a significant difference between your mind and the way you think about things before developing these mathematical skills versus after?