When you are trying to build up a new argument, temporarily accepting steps of uncertain correctness can be helpful (if mentally tagged as such).
Agreed. You just have to remember once you’ve figured out all those steps leading you your conclusion, you have an outline, not a completed proof. Being able to produce such outlines that most of the time can be successfully turned into proofs, or at least interesting reasons why the proof failed, is an important skill.
Agreed. You just have to remember once you’ve figured out all those steps leading you your conclusion, you have an outline, not a completed proof. Being able to produce such outlines that most of the time can be successfully turned into proofs, or at least interesting reasons why the proof failed, is an important skill.