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===Royal Society=== [[File:NewtonsPrincipia.jpg|thumb|left|[[Isaac Newton]]'s personal copy of the first edition of his ''Principia Mathematica'', bearing Pepys's name]] He was elected a Fellow of the [[Royal Society]] in 1665 and served as its President from 1 December 1684 to 30 November 1686. [[Isaac Newton]]'s ''[[Philosophiae Naturalis Principia Mathematica|Principia Mathematica]]'' was published during this period, and its title page bears Pepys' name. There is a [[probability]] problem called the "[[Newton–Pepys problem]]" that arose out of correspondence between Newton and Pepys about whether one is more likely to roll at least one six with six dice or at least two sixes with twelve dice.<ref>{{Cite web |url=http://mathworld.wolfram.com/Newton-PepysProblem.html |title=Newton-Pepys Problem |author=Eric W. Weisstein |publisher=Wolfram MathWorld |access-date=28 June 2008 }}</ref> It has only recently been noted that the gambling advice that Newton gave Pepys was correct, while the logical argument with which Newton accompanied it was unsound.{{sfnp|Stigler|2006}}
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