The relation between intuition and logic is one of the most important and misunderstood subjects in science.

Unfortunately too many people associate the term "intuition" with feeling or guess work. For that matter there is a whole cottage industry built around publicizing instances when people's guesses were wrong.

When I studied the works of Brouwer and Heyting I came to realize that intuition is really about bridging the gap between human understanding and logic.

Wise people approach problems with a combination of basic intuition enhanced by reason. A strong thinker will analyze and question intuition while making sure that the solutions produced by reason are intuitive and sound.

!WINE

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