creative annealing
I still have trouble with trying to "conform" or find "the right way" to do something, though.
"At Princeton he received complaints for regularly playing extremely loud German march music on his gramophone, which distracted those in neighbouring offices, including Albert Einstein, from their work."
So those two geniuses were opposite in this way, and I would describe their thinking verbatim as you claim!
That is, in this case, von Neumann being a "surgical thinker", he might have needed external noise sources to achieve breakthroughs ...
Assume the solution to the problem is simple enough that it can be found in five minutes. Then spend five minutes trying to find the solution.
If you found the solution, congratulate yourself. If you didn't find the solution, do the above procedure for fifteen minutes instead of five.
This approach gives direct, "surgical" solutions for simple problems, and leads you to more creative solutions to more complicated problems.
There are people who have focused, surgical thinking. They solve a hard problem by trying to follow a chain of logic arguments, and give up after a few tries. When they don't fail, they find the solution quickly.
There are also people with "noisier" thinking, who can stray from the chain of logic arguments, or even get lost. These people throw everything and the kitchen sink at the problem, can think of almost unlimited ways of attacking a hard problem, and often discover unexpected properties.
The "noisy thinkers" take a longer path to arrive at the solution, but they often manage to go around barriers in a way that is impossible for the former group.