There is intuition and educated intuition. Analysis and topology counterexamples are usually met with high disbelief. And then there is intuitionistic logic htt

There is intuition and educated intuition. Analysis and topology counterexamples are usually met with high disbelief. And then there is intuitionistic logic https://en.wikipedia.org/wiki/Intuitionistic_logic https://en.wikipedia.org/wiki/Intuitionistic_logic