Infinite Circle

Warren is dead. And he is beginning to wonder how many ways one guy can die. At this point, he is convinced he will spend eternity as the reoccurring murder victim in an eerie film world purgatory. In this paranormal mystery, Warren wakes inside a new character aboard a tramp steamer returning from Cuba during the 1930s.

The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.

Regression addresses what has come before; it is a matter of looking backward of retrospections? The motionless things of nature are generally forward-looking their problem is that of the question: Where do we go from here? It is primarily with intelligent beings that we ask: How did we get to where we now find ourselves? Regression and infinite regression in particular is thus a concept that has gained a greater prominence in the human sciences than in the sciences of nature. Argumentation to infinite regress has long been a favored instrument of philosophical dialectic. Philosophers have used it to disprove the positions they model to criticize. Infinite regresses, so they reason, are unrealizable: they cannot be completed so as to achieve some definitive result. And thereby anything that would engender an infinite regress is automatically made ineffective. Infinite Regress examines the theory of regression and includes information on the topics of vicious regress, innocuous regress, circularity regress, and propositional regress. Also discussed is the history of regression stemming from ancient times, to medieval times, to early modern history. Some of the other chapters in this book focus on world class philosophers including Immanuel Kant, Georg Wilhelm Friedrich Hegel, and Bertrand Russell. The book will play a significant role in theoretical philosophy as well as in social philosophy and the philosophy of mind.

Just as bird guides help watchers tell birds apart by their color, songs, and behavior, The Kingdom of Infinite Number is the perfect handbook for identifying numbers in their native habitat. Taking a field guide-like approach, it offers a fresh way of looking at individual numbers and the properties that make them unique, which are also the properties essential for mental computation. The result provides new insights into mathematical patterns and relationships and an increased appreciation for the sheer wonder of numbers. Every number in this book is identified by its "field marks," "similar species," "personality," and "associations." For example, one field mark of the number 6 is that it is the first perfect number-- the sum of its divisors (1, 2, and 3) is equal to the number itself. Thus 28, the next perfect number, is a similar species. And the fact that 6 can easily be broken into 2 and 3 is part of its personality, a trait that is helpful when large numbers are being either multiplied or divided by 6. Associations with 6 include its relationship to the radius of a circle. In addition to such classifications, special attention is paid to dozens of other fascinating numbers, including zero, pi, 10 to the 76th power (the number of particles in the universe), transfinite and other exceptionally larger numbers, and the concept of infinity. Ideal for beginners but organized to appeal to the mathematically literate, The Kingdom of Infinite Number will not only add to readers' enjoyment of mathematics, but to their problem-solving abilities as well.

We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.

Most scholars would agree that there is an epochal threshold between the world of the Middle Ages and the modern world. Agreement on the nature and dynamic structure of that threshold is harder to come by. Hans Blumenberg's original and compelling account of the transition from medieval to modern, given in his 1966 work The Legitimacy of the Modern Age, has received wide attention. Elizabeth Brient begins her own account of the transition with an extensive, critical assessment of central aspects of Blumenberg's work. She elucidates his "dialogical" method of historical explanation, then discusses the shortcomings of his defense of the "legitimacy" of modernity. The transition to the modern world is marked by the process of making infinite the finite medieval cosmos. Whereas Blumenberg focused on the spatial infinitization of the universe, Brient claims that the process must be understood intensively as well as extensively. In the now-infinite universe of the new science, the problem of finding a measure for man's self-assertive activity, and for human knowledge, comes to the fore. The second half of the book focuses on the way in which this difficulty is addressed with conceptual resources developed in the tradition of late medieval Neoplatonism, in particular in the speculative thought of Meister Eckart and Nicholas of Cusa. Specific attention is given to the way in which Cusanus' notion of the immanence of the infinite in the finite responds to the need for a regulative ideal for human knowing. This is the first book-length treatment of Blumenberg to appear in English and will be a most welcome resource for readers engaged by debates concerning the status of modernity. It will be of equal interest to students of Eckhart and Cusanus, and to those generally concerned with the transition between the medieval and the modern world. ABOUT THE AUTHOR: Elizabeth Brient is Assistant Professor of philosophy at The University of Georgia. PRAISE FOR THE BOOK: "Blumenberg could not have wished for a more reverent critique of his achievements or a more exacting textual exegesis regarding the sources of their philosophical content, all written in a lucid style that is forthright in the defense of the depth of thought during the Middle Ages but also pleasing in its subtle irony with respect to Blumenberg's and the author's own metaphysical creed."- Walter F. Veit, Speculum "Brient's analysis of Blumenberg's philosophy sheds significant light in the debate concerning modernity. . . ." --Albrecht Classen, University of Arizona, German Studies Review

In Infinite Circle, one of America's most distinctive Zen teachers takes a back-to-basics approach to Zen. Glassman illuminates three key teachings of Zen Buddhism, offering line-by-line commentary in clear, direct language: 1. The Heart Sutra: the Buddha's essential discourse on emptiness, a central sutra of the Mahayana Buddhist tradition. 2. "The Identity of Relative and Absolute": an eighth-century poem by Shih-t'ou His-ch'ien, a key text of the Soto Zen school. 3. The Zen precepts: the rules of conduct for laypeople and monks. His commentaries are based on workshops he gave as Abbot of the Zen Community of New York, and they contain within them the principles that became the foundation for the Greyston Mandala of community development organizations and the Zen Peacemaker Order.

‘A delight. Popular science doesn’t come much better than this’ Independent Everything you might want to know about infinity - in history and all the way to today's cutting-edge science. Infinity is surely the strangest idea that humans have ever had. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Can you do an infinite number of things in a finite amount of time? Is the Universe infinite? Infinity is also the place where things happen that don't. What is it like to live in a Universe where nothing is original, where you can live forever, where anything that can be done, is done, over and over again? These are some of the deep questions that the idea of the infinite pushes us to ask. Throughout history, the infinite has been a dangerous concept. Many have lost their lives, their careers, or their freedom for talking about it. The Infinite Book will take you on a tour of these dangerous questions and the strange answers that scientists, mathematicians, philosophers and theologians have come up with to deal with its threats to our sanity.