Editing 1713 in science (section)

==Mathematics==
* September 9 – [[Nicolas Bernoulli]] first describes the [[St. Petersburg paradox]] in a letter to [[Pierre Raymond de Montmort]].
* November 13 – James Waldegrave provides the first known [[minimax]] mixed strategy solution to a two-person game, in a letter to de Montmort.<ref>{{cite web|title=A Chronology of Game Theory|first=Paul|last=Walker|url=http://www.econ.canterbury.ac.nz/personal_pages/paul_walker/gt/hist.htm|work=History of Game Theory|accessdate=2012-05-12|date=October 2005|archive-url=https://web.archive.org/web/20000815223335/http://www.economics.harvard.edu/~aroth/alroth.html|archive-date=2000-08-15|url-status=dead}}</ref>
* [[Jacob Bernoulli]]'s best known work, ''Ars Conjectandi'' (''The Art of Conjecture''), is published posthumously by his nephew. It contains a [[mathematical proof]] of the [[law of large numbers]], the [[Bernoulli numbers]], and other important research in [[probability theory]] and [[enumeration]].