Mathematics Archives | National Humanities Center

Mathematics

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Squaring the Circle: The War Between Hobbes and Wallis

By Douglas M. Jesseph (NHC Fellow, 1993–94) In 1655, the philosopher Thomas Hobbes claimed he had solved the centuries-old problem of "squaring of the circle" (constructing a square equal in area to a given circle). With a scathing rebuttal to Hobbes’s claims, the mathematician John Wallis began one of the longest and most intense intellectual … Continued

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The Continuous and the Discrete: Ancient Physical Theories from a Contemporary Perspective

By Michael J. White (NHC Fellow, 1988–89) This book presents a detailed analysis of three ancient models of spatial magnitude, time, and local motion. The Aristotelian model is presented as an application of the ancient, geometrically orthodox conception of extension to the physical world. The other two models, which represent departures from mathematical orthodoxy, are … Continued

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The Janus Faces of Genius: The Role of Alchemy in Newton’s Thought

By Betty Jo Teeter Dobbs (NHC Fellow, 1978–79) In this major reevaluation of Isaac Newton's intellectual life, Betty Jo Teeter Dobbs shows how his pioneering work in mathematics, physics, and cosmology was intertwined with his study of alchemy. Professor Dobbs argues that to Newton those several intellectual pursuits were all ways of approaching Truth, and … Continued