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Philosophy Of The Infinite
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Book Synopsis Infinity and the Mind by : Rudy Rucker
Download or read book Infinity and the Mind written by Rudy Rucker and published by Bantam Books. This book was released on 1983-01-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains popular expositions (accessible to readers with no more than a high school mathematics background) on the mathematical theory of infinity, and a number of related topics. These include G?del's incompleteness theorems and their relationship to concepts of artificial intelligence and the human mind, as well as the conceivability of some unconventional cosmological models. The material is approached from a variety of viewpoints, some more conventionally mathematical and others being nearly mystical. There is a brief account of the author's personal contact with Kurt G?del.An appendix contains one of the few popular expositions on set theory research on what are known as "strong axioms of infinity."
Book Synopsis Georg Cantor by : Joseph Warren Dauben
Download or read book Georg Cantor written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 1990 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.
Download or read book The Infinite written by A.W. Moore and published by Routledge. This book was released on 2018-10-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Understanding the Infinite by : Shaughan Lavine
Download or read book Understanding the Infinite written by Shaughan Lavine and published by Harvard University Press. This book was released on 1998-01-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can the infinite, a subject so remote from our finite experience, be an everyday tool for the working mathematician? Blending history, philosophy, mathematics, and logic, Shaughan Lavine answers this question with exceptional clarity. Making use of the mathematical work of Jan Mycielski, he demonstrates that knowledge of the infinite is possible, even according to strict standards that require some intuitive basis for knowledge.
Book Synopsis The Beginning of Infinity by : David Deutsch
Download or read book The Beginning of Infinity written by David Deutsch and published by Penguin UK. This book was released on 2011-03-31 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Book Synopsis Infinite Paths to Infinite Reality by : Ayon Maharaj
Download or read book Infinite Paths to Infinite Reality written by Ayon Maharaj and published by Oxford University Press. This book was released on 2018-10-08 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Ramakrishna is widely known as a nineteenth-century Indian mystic who affirmed the harmony of all religions on the basis of his richly varied spiritual experiences and eclectic religious practices, both Hindu and non-Hindu. In Infinite Paths to Infinite Reality, Ayon Maharaj argues that Sri Ramakrishna was also a sophisticated philosopher of great contemporary relevance. Through a careful study of Sri Ramakrishna's recorded oral teachings in the original Bengali, Maharaj reconstructs his philosophical positions and analyzes them from a cross-cultural perspective. Sri Ramakrishna's spiritual journey culminated in the exalted state of "vijñana," his term for the "intimate knowledge" of God as the Infinite Reality that is both personal and impersonal, with and without form, immanent in the universe and beyond it. This expansive spiritual standpoint of vijñana, Maharaj contends, opens up a new paradigm for addressing central issues in cross-cultural philosophy of religion, including divine infinitude, religious pluralism, mystical experience, and the problem of evil. Sri Ramakrishna's vijñana-based religious pluralism--when grasped in all its subtlety--proves to have major philosophical advantages over dominant Western models. Moreover, his mystical testimony and teachings not only cut across long-standing debates about the nature of mystical experience but also bolster recent defenses of its epistemic value. Maharaj further demonstrates that Sri Ramakrishna's unique response to the problem of evil resonates strongly with Western "soul-making" theodicies and contemporary theories of skeptical theism. A pioneering interdisciplinary study of one of India's most important philosopher-mystics, Maharaj's book is essential reading for scholars and students in philosophy of religion, theology, religious studies, and Hindu studies.
Book Synopsis Infinite Regress Arguments by : Jan Willem Wieland
Download or read book Infinite Regress Arguments written by Jan Willem Wieland and published by Springer Science & Business. This book was released on 2014-04-26 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on infinite regress arguments provides (i) an up-to-date overview of the literature on the topic, (ii) ready-to-use insights for all domains of philosophy, and (iii) two case studies to illustrate these insights in some detail. Infinite regress arguments play an important role in all domains of philosophy. There are infinite regresses of reasons, obligations, rules, and disputes, and all are supposed to have their own moral. Yet most of them are involved in controversy. Hence the question is: what exactly is an infinite regress argument, and when is such an argument a good one?
Book Synopsis Reasoning with the Infinite by : Michel Blay
Download or read book Reasoning with the Infinite written by Michel Blay and published by University of Chicago Press. This book was released on 1998 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist
Book Synopsis Infinite Phenomenology by : John Russon
Download or read book Infinite Phenomenology written by John Russon and published by Northwestern University Press. This book was released on 2015-10-30 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite Phenomenology builds on John Russon’s earlier book, Reading Hegel’s Phenomenology, to offer a second reading of Hegel’s Phenomenology of Spirit. Here again, Russon writes in a lucid, engaging style and, through careful attention to the text and a subtle attunement to the existential questions that haunt human life, he demonstrates how powerfully Hegel’s philosophy can speak to the basic questions of philosophy. In addition to original studies of all the major sections of the Phenomenology, Russon discusses complementary texts by Hegel, namely, the Philosophy of Spirit, the Philosophy of Right, and the Science of Logic. He concludes with an appendix that discusses the reception and appropriation of Hegel’s Phenomenology in twentieth-century French philosophy. As with Russon’s earlier work, Infinite Phenomenology will remain essential reading for those looking to engage Hegel’s essential, yet difficult, text.
Download or read book Infinite Baseball written by Alva Noë and published by Oxford University Press. This book was released on 2019-03-01 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Baseball is a strange sport: it consists of long periods in which little seems to be happening, punctuated by high-energy outbursts of rapid fire activity. Because of this, despite ever greater profits, Major League Baseball is bent on finding ways to shorten games, and to tailor baseball to today's shorter attention spans. But for the true fan, baseball is always compelling to watch -and intellectually fascinating. It's superficially slow-pace is an opportunity to participate in the distinctive thinking practice that defines the game. If baseball is boring, it's boring the way philosophy is boring: not because there isn't a lot going on, but because the challenge baseball poses is making sense of it all. In this deeply entertaining book, philosopher and baseball fan Alva Noë explores the many unexpected ways in which baseball is truly a philosophical kind of game. For example, he ponders how observers of baseball are less interested in what happens, than in who is responsible for what happens; every action receives praise or blame. To put it another way, in baseball - as in the law - we decide what happened based on who is responsible for what happened. Noe also explains the curious activity of keeping score: a score card is not merely a record of the game, like a video recording; it is an account of the game. Baseball requires that true fans try to tell the story of the game, in real time, as it unfolds, and thus actively participate in its creation. Some argue that baseball is fundamentally a game about numbers. Noe's wide-ranging, thoughtful observations show that, to the contrary, baseball is not only a window on language, culture, and the nature of human action, but is intertwined with deep and fundamental human truths. The book ranges from the nature of umpiring and the role of instant replay, to the nature of the strike zone, from the rampant use of surgery to controversy surrounding performance enhancing drugs. Throughout, Noe's observations are surprising and provocative. Infinite Baseball is a book for the true baseball fan.
Download or read book Infinite Thought written by Alain Badiou and published by A&C Black. This book was released on 2005-05-01 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alain Badiou is already regarded as one of the mostoriginal and powerful voices in contemporaryEuropean thought. Infinite Thought brings together arepresentative selection of the range of AlainBadiou's work, illustrating the power and diversity ofhis thought.
Book Synopsis Noble in Reason, Infinite in Faculty by : A.W. Moore
Download or read book Noble in Reason, Infinite in Faculty written by A.W. Moore and published by Routledge. This book was released on 2012-09-10 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this bold and innovative new work, Adrian Moore poses the question of whether it is possible for ethical thinking to be grounded in pure reason. In order to understand and answer this question, he takes a refreshing and challenging look at Kant’s moral and religious philosophy. Identifying three Kantian Themes – morality, freedom and religion – and presenting variations on each of these themes in turn, Moore concedes that there are difficulties with the Kantian view that morality can be governed by ‘pure’ reason. He does however defend a closely related view involving a notion of reason as socially and culturally conditioned. In the course of doing this, Moore considers in detail, ideas at the heart of Kant’s thought, such as the categorical imperative, free will, evil, hope, eternal life and God. He also makes creative use of the ideas in contemporary philosophy, both within the analytic tradition and outside it, such as ‘thick’ ethical concepts, forms of life and ‘becoming those that we are’. Throughout the book, a guiding precept is that to be rational is to make sense, and that nothing is of greater value to use than making sense.
Book Synopsis Hegel & the Infinite by : Slavoj Žižek
Download or read book Hegel & the Infinite written by Slavoj Žižek and published by Columbia University Press. This book was released on 2011 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, 13 major scholars reassess the place of Hegel in contemporary theory and the philosophy of religion. The contributors focus not only on Hegelian analysis but also on the transformative value of his thought in relation to our current 'turn to religion'.
Book Synopsis Finite and Infinite Games by : James Carse
Download or read book Finite and Infinite Games written by James Carse and published by Simon and Schuster. This book was released on 2011-10-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: “There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Download or read book Approaching Infinity written by M. Huemer and published by Palgrave Macmillan. This book was released on 2016-03-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.
Book Synopsis Totality and Infinity by : Emmanuel Levinas
Download or read book Totality and Infinity written by Emmanuel Levinas and published by . This book was released on 1980-02-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
