First published in in 1976, Hermann Levin Goldschmidt's Contradiction Set Free, (Freiheit für den Widerspruch), reflects the push to explore new forms of critical thinking that gained momentum in the decade between Theodor Adorno's Negative Dialectics of 1966 and Paul Feyerabend's Against Method in 1975. The book articulates Goldschmidt's reclamation of an epistemologically critical position that acknowledges the deep underlying link between the modes of production of knowledge and the social and political life they produce. In signalling a breakout from the academic rut and its repressive hold, Goldschmidt pointed beyond the ossified methods of a philosophical discourse whose oppressive consequences could no longer be ignored.Contradiction Set Free makes available for the first time in English a pivotal work by one of the great critical thinkers of the 20th century.

"First published in in 1976, Hermann Levin Goldschmidt's Contradiction Set Free, (Freiheit für den Widerspruch), reflects the push to explore new forms of critical thinking that gained momentum in the decade between Theodor Adorno's Negative Dialectics of 1966 and Paul Feyerabend's Against Method in 1975. The book articulates Goldschmidt's reclamation of an epistemologically critical position that acknowledges the deep underlying link between the modes of production of knowledge and the social and political life they produce. In signalling a breakout from the academic rut and its repressive hold, Goldschmidt pointed beyond the ossified methods of a philosophical discourse whose oppressive consequences could no longer be ignored. Contradiction Set Free makes available for the first time in English a pivotal work by one of the great critical thinkers of the 20th century."--

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

The Capitalist-Christian Contradiction exposes the political, economic, and spiritual contradictions in our society and the church. It points out how Americas capitalist system creates and maintains economic inequality, political corruption, economic exploitation , racial oppression, and spiritual poverty to worship the almighty dollar bill. Furthermore, the love of money has transformed many churches into a den of thieves that promulgates a prosperity gospel, enriching its clergy and impoverishing the community. Humanitys only hope is to seek Gods kingdom or the beloved community of peace, justice, equality, and freedom for all people regardless of race, class, creed, level of morality, gender, or religion.

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.