"Our minds are susceptible to the influence of external voices telling us what we require to be satisfied, voices that may drown out the faint sounds emitted by our souls and distract us from the careful, arduous task of accurately naming our priorities."

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Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on or motivated to do so. Our system is quite good at producing reliable theorems that can be solidly backed up. It's just that the reliability does not primarily come from mathematicians formally checking formal arguments; it comes from mathematicians thinking carefully and critically about mathematical ideas.

— William Thurston