In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution.

Jesseph begins with...

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 disputes of all time. "Squaring the Circle" is a detailed account of this controversy, from the core mathematics to the broader philosophical, political, and religious issues at stake.
Hobbes believed that by recasting geometry in a materialist mold, he could solve any geometric problem and...

The A to Z of Descartes and Cartesian Philosophy includes many entries on Descartes's writings, concepts, and findings. Since it is historical, there are other entries on those who supported him, those who criticized him, those who corrected him, and those who together formed one of the major movements in philosophy, Cartesianism. To better understand the period, the authors drew up a brief chronology, and to see how Descartes and Cartesianism fit into the general picture, they have written an introduction and a biography. Since everything cannot be summed up in one volume, a bibliography...

Descartes is perhaps most closely associated with the title, "the Father of Modern Philosophy." Generations of students have been introduced to the study of philosophy through a consideration of his Meditations on First Philosophy. His contributions to natural science is shown by the fact that his physics, as promulgated by the Cartesians, played a central role in the debates after his death over Isaac Newton's theory of gravitation. Descartes also made major contributions to the field of analytic geometry; we still speak today of "Cartesian coordinates" and the "Cartesian product." This...