In my field, I've noticed most brilliant solutions are those that challenge a well-established intuition about which things work or how things are. But most times it's hard to find such counter-intuitive ideas because we're already trapped in the mindset that finds these ideas bizarre.
A good example is RAF airplanes during WWII: https://www.motherjones.com/kevin-drum/2010/09/counterintuitive-world/
My question is: how do you find things that people seem to agree upon, and how do you challenge that? If you can also bring up examples, that would be great.