> The problem, it seems, is you've come to rely on that one tool at the expense of all others, the whole "if all you have is a hammer, everything looks like a nail" thing. It's good that you've recognized this, it gives you the opportunity to grow. But, I think you're coming away with the wrong hot take.

This, I think it's what I'm getting at (or should be getting at).

Certainly I'm not discrediting the power of proof by contradiction, but you are right I have became so reliant on it that I miss out on many ideas and intuition that authors are trying to present by using different proof methods. And certainly hinder my ability to solve problems because of my narrowed minded strategy.