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:
“In the past, the English tried to impose a system wherever they went. They destroyed the nation’s culture and one of the by- products of their systemisation was that they destroyed their own folk culture.”
—Martin Carthy (b. 1941)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)