Folk Mathematics
If modern mathematical practices are what distinguish modern professional mathematicians from older ideas of folk mathematics. Although such "folk" practices may well include useful formulae or algorithms, they are generally without the accompanying proof discipline.
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Famous quotes containing the words folk and/or mathematics:
““I have usually found that there was method in his madness.”
“Some folk might say there was madness in his method.””
—Sir Arthur Conan Doyle (1859–1930)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)