User blog comment:MilkyWay90/I'm ready for the easiest OCF!/@comment-32697988-20180821002553/@comment-27513631-20180821122613

Yeah, you've basically got two paths ahead of you.

1. Be a professional hand-waver, not be particular about formalities or technicalities and assume stuff works because you can't see why it shouldn't. 2. Consider the technicalities behind a definition, and be able to actually show what you say and know that you're correct, as opposed to waiting for a counterexample.

Lots of people seem to be happy in the first group, but virtually everyone who has a degree in mathematics is in the second group.