"'There is only one thing that is certain, namely that we can have nothing certain; and therefore it is not certain that we can have nothing certain,' Samuel Butler once said, expressing in that mindbloggler all the elements required to form a classical paradox. Throughout the ages wise men and jesters alike have been intrigued by such mental twists and riddles which defy common sense and yet appear to be true." -- Dust jacket.
A Vicious Circle exposes the corruption of London's journalistic circuit, the horrors of our hospitals and slums, and the transformations caused by motherhood. Gripping, tender and fiercely funny, it has been instantly recognised as a modern classic about the way we live now. 'A love story and political comment, a defence of the art of fiction, a masterpiece . . . The greatest novelist under the age of fifty has now stepped onto the stage' A. N. Wilson, Evening Standard 'It's like Dickens without the long-winded bits. It makes you laugh, it makes you blub . . . an excellent and entertaining read' Val Hennessey, Daily Mail
Eli Maor examines the role of infinity in mathematics and geometry and its cultural impact on the arts and sciences. He evokes the profound intellectual impact the infinite has exercised on the human mind, from the "horror infiniti" of the Greeks to the works of M.C. Escher; from the ornamental designs of the Moslems, to the sage Giordano Bruno, whose belief in an infinite universe led to his death at the hands of the Inquisition. But above all, the book describes the mathematician's fascination with infinity, a fascination mingled with puzzlement. "Maor explores the idea of infinity in mathematics and in art and argues that this is the point of contact between the two, best exemplified by the work of the Dutch artist M.C. Escher, six of whose works are shown here in beautiful color plates."--Los Angeles Times "[Eli Maor's] enthusiasm for the topic carries the reader through a rich panorama." Choice "Fascinating and enjoyable.... places the ideas of infinity in a cultural context and shows how they have been espoused and molded by mathematics."-Science.
This book is about OC diamondOCO, a logic of paradox. In diamond, a statement can be true yet false; an OC imaginaryOCO state, midway between being and non-being. Diamond''s imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, GAdelian meta-mathematics and dilemma games."
The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of science. Already in antiquity many philosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At the time, many scientists ignored the paradoxes and used set theory extensively in their work, while others subjected set-theoretic methods in mathematics to harsh criticism. The debate intensified when a group of French mathematicians, who wrote under the pseudonym of Nicolas Bourbaki, tried to erect the whole edifice of mathematics on the single notion of a set. Some mathematicians greeted this attempt enthusiastically while others regarded it as an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader how the idea of the infinite arose and developed in physics and in mathematics, how the theory of infinite sets was constructed, what paradoxes it has led to, what significant efforts have been made to eliminate the resulting contradictions, and what routes scientists are trying to find that would provide a way out of the many difficulties.
Klaus Krippendorff is an influential figure in communication studies widely known for his award-winning book Content Analysis. Over the years, Krippendorff has made important contributions to the ongoing debates on fundamental issues concerning communication theory, epistemology, methods of research, critical scholarship, second-order cybernetics, the social construction of reality through language, design, and meaning. On Communicating assembles Krippendorff’s most significant writings – many of which are virtually unavailable today, appearing in less accessible publications, conference proceedings, out-of-print book chapters, and articles in journals outside the communication field. In their totality, they provide a goldmine for communication students and scholars. Edited and with an introduction by Fernando Bermejo, this book provides readers with access to Krippendorff’s key works.
In this follow-up to his hugely popular The Book of Trees and Visual Complexity, Manuel Lima takes us on a lively tour through millennia of circular information design. Three hundred detailed and colorful illustrations from around the world cover an encyclopedic array of subjects—architecture, urban planning, fine art, design, fashion, technology, religion, cartography, biology, astronomy, and physics, all based on the circle, the universal symbol of unity, wholeness, infinity, enlightenment, and perfection. Clay tokens used by ancient Sumerians as a system of recording trade are juxtaposed with logos of modern retailers like Target; Venn diagrams are discussed alongside the trefoil biohazard symbol, symbols of the Christian trinity, and the Olympic rings; and a diagram revealing the characteristics of ten thousand porn stars displays structural similarities to early celestial charts placing the earth at the center of the universe. Lima's introduction provides an authoritative history of the circle, and a preface describes his unique taxonomy of the many varieties of circle diagrams, rounding out this visual feast for infographics enthusiasts.
