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PrefaceList of AbbreviationsChapter One: The Mathematical Career of the Monster of MalmesburyChapter Two: The Reform of Mathematics and of the UniversitiesIdeological Origins of the DisputeChapter Three: De Corpore and the Mathematics of MaterialismChapter Four: Disputed FoundationsHobbes vs. Wallis on the Philosophy of MathematicsChapter Five: The "Modern Analytics" and the Nature of DemonstrationChapter Six: The Demise of Hobbesian GeometryChapter Seven: The Religion, Rhetoric, and Politics of Mr. Hobbes and Dr. WallisChapter Eight: Persistence in ErrorWhy Was Hobbes So Resolutely Wrong?Appendix: Selections from Hobbes's Mathematical WritingsReferencesIndex Copyright © Libri GmbH. All rights reserved.
This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Based on years of research as well as interviews conducted with Circle in the Square's major contributing artists, this book records the entire history of this distinguished theatre from its nightclub origins to its current status as a Tony Award-winning Broadway institution. Over the course of seven decades, Circle in the Square theatre profoundly changed ideas of what American theatre could be. Founded by Theodore Mann and Jose Quintero in an abandoned Off-Broadway nightclub just after WWII, it was a catalyst for the Off-Broadway movement. The building had a unique arena-shaped performance space that became Circle in the Square theatre, New York's first Off-Broadway arena stage and currently Broadway's only arena stage. The theatre was precedent-setting in many other regards, including operating as a non-profit, contracting with trade unions, establishing a school, and serving as a home for blacklisted artists. It sparked a resurgence of interest in playwright Eugene O'Neill's canon, and was famous for landmark revivals and American premieres of his plays. The theatre also fostered the careers of such luminaries as Geraldine Page, Colleen Dewhurst, George C. Scott, Jason Robards, James Earl Jones, Cecily Tyson, Dustin Hoffman, Irene Papas, Alan Arkin, Philip Bosco, Al Pacino, Amy Irving, Pamela Payton-Wright, Vanessa Redgrave, Julie Christie, John Malkovich, Lynn Redgrave, and Annette Bening.
Within The Sight-Size Cast is everything you ever wanted to know about Sight-Size cast drawing and painting, impressionistic seeing, and the ways in which many of the ateliers that stem from R. H. Ives Gammell and Richard Lack teach their students. You can learn how to see through Sight-Size with Darren Rousar's book, The Sight-Size Cast.
Squaring the Circle is a collection of fantastic tales by Gheorghe Sasarman, selected and translated by Ursula K. Le Guin, which Aqueduct Press will be releasing in trade paper back in May 2013. The tales in Squaring the Circle were written in Rumania, in Rumanian, in 1969. The book has been previously published in French and Spanish translations. Ursula K. Le Guin, reading the Spanish translation, felt compelled to bring 24 of its 36 tales into English. As she writes in her introduction, "Some books, unread books, exert the effect. Its not rational, not easy to explain. They dont glow or vibrate, though thats what theyd do in an animated movie. They just are in view, theyre there. Theres this book, on the shelf in a book store or the library or like this one in a pile on my desk, and it is visible, silently saying read me. And even if I have no idea what it is and what its about, I have to read it." The result of Le Guin's compulsion is this English edition of Sasarman's tales.
A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.
To date, scholars explored Bruce Nauman’s oeuvre through various perspectives, concepts and premises, including linguistics, performance, power and knowledge, sound, the political and more. Amidst this vast and rich field, Nauman’s pieces have been regarded by critics in terms of systematic skepticism, tragic skepticism, skepticism of the medium, and linguistic doubt. This book methodically analyzes the notion of performative skepticism and its relevance to various dimensions of Bruce Nauman’s post-minimalist artistic practice. It is argued that Nauman performs the perpetual failure of perception, hence, demonstrating its doubtful validity to produce certain knowledge without allowing a resolution. This kind of skepticism, here called performative skepticism, exposes the impossibility of epistemological equipment to produce knowledge, and the impossibility of attaining certainty in bridging the gap between knowledge and the real.