As an undergraduate math student I once overheard a conversation relating to someone whose mathematical reputation was ruined due to an erroneous published theorem. I am writing a book in which I wish to make the assertion that mathematics is a social endeavor and cannot reliably be done in isolation.
"Russell wrote to Gottlob Frege with news of his paradox on June 16, 1902. The paradox was of significance to Frege's logical work since, in effect, it showed that the axioms Frege was using to formalize his logic were inconsistent."
Russell's Paradox (Stanford Encyclopedia of Philosophy)