The Philosophy Of The Infinite

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Infinity and the Mind

Rudy Rucker
Infinity and the Mind Book PDF

Author : Rudy Rucker
Publisher : Princeton University Press
Page : 128 pages
File Size : 54,7 Mb
Release : 2019-07-23
Category : Mathematics
ISBN : 9780691191256

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Infinity and the Mind by Rudy Rucker Pdf

A dynamic exploration of infinity In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the “Mindscape,” where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Using cartoons, puzzles, and quotations to enliven his text, Rucker acquaints us with staggeringly advanced levels of infinity, delves into the depths beneath daily awareness, and explains Kurt Gödel’s belief in the possibility of robot consciousness. In the realm of infinity, mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise, we gain profound insights into the human mind, its powers, and its limitations. This Princeton Science Library edition includes a new preface by the author.

Georg Cantor

Joseph Warren Dauben
Georg Cantor Book PDF

Author : Joseph Warren Dauben
Publisher : Princeton University Press
Page : 422 pages
File Size : 51,6 Mb
Release : 1990
Category : Infinite..
ISBN : 0691085838

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Georg Cantor by Joseph Warren Dauben Pdf

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.

The Infinite

A.W. Moore
The Infinite Book PDF

Author : A.W. Moore
Publisher : Routledge
Page : 361 pages
File Size : 43,9 Mb
Release : 2018-10-09
Category : Philosophy
ISBN : 9781351381253

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The Infinite by A.W. Moore Pdf

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.

Understanding the Infinite

Shaughan Lavine
Understanding the Infinite Book PDF

Author : Shaughan Lavine
Publisher : Harvard University Press
Page : 262 pages
File Size : 51,6 Mb
Release : 2009-06-30
Category : Mathematics
ISBN : 9780674265332

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Understanding the Infinite by Shaughan Lavine Pdf

An accessible history and philosophical commentary on our notion of infinity. 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. Praise for Understanding the Infinite “Understanding the Infinite is a remarkable blend of mathematics, modern history, philosophy, and logic, laced with refreshing doses of common sense. It is a potted history of, and a philosophical commentary on, the modern notion of infinity as formalized in axiomatic set theory . . . An amazingly readable [book] given the difficult subject matter. Most of all, it is an eminently sensible book. Anyone who wants to explore the deep issues surrounding the concept of infinity . . . will get a great deal of pleasure from it.” —Ian Stewart, New Scientist “How, in a finite world, does one obtain any knowledge about the infinite? Lavine argues that intuitions about the infinite derive from facts about the finite mathematics of indefinitely large size . . . The issues are delicate, but the writing is crisp and exciting, the arguments original. This book should interest readers whether philosophically, historically, or mathematically inclined, and large parts are within the grasp of the general reader. Highly recommended.” —D. V. Feldman, Choice

The Infinite

A.W. Moore
The Infinite Book PDF

Author : A.W. Moore
Publisher : Routledge
Page : 294 pages
File Size : 52,6 Mb
Release : 2012-08-06
Category : Mathematics
ISBN : 9781134912131

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The Infinite by A.W. Moore Pdf

Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.

Noble in Reason, Infinite in Faculty

A.W. Moore
Noble in Reason Infinite in Faculty Book PDF

Author : A.W. Moore
Publisher : Routledge
Page : 276 pages
File Size : 45,6 Mb
Release : 2012-09-10
Category : Philosophy
ISBN : 9781134619672

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Noble in Reason, Infinite in Faculty by A.W. Moore Pdf

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.

Infinite Minds

John Leslie
Infinite Minds Book PDF

Author : John Leslie
Publisher : Oxford University Press
Page : 252 pages
File Size : 50,9 Mb
Release : 2003
Category : Philosophy
ISBN : 0199248931

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Infinite Minds by John Leslie Pdf

John Leslie unfolds his view of the nature of the universe in this book - a view which is unusual yet rich in philosophical inspiration and suggestion. Over the last three decades he has been developing his theory in a series of publications, and with this title he brings it to its definitive conclusion.

The Infinite Book

John D. Barrow
The Infinite Book Book PDF

Author : John D. Barrow
Publisher : Random House
Page : 355 pages
File Size : 55,7 Mb
Release : 2010-03-30
Category : Science
ISBN : 9781407072746

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The Infinite Book by John D. Barrow Pdf

‘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.

The Beginning of Infinity

David Deutsch
The Beginning of Infinity Book PDF

Author : David Deutsch
Publisher : Penguin UK
Page : 571 pages
File Size : 44,8 Mb
Release : 2011-03-31
Category : Science
ISBN : 9780141969695

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The Beginning of Infinity by David Deutsch Pdf

'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

Infinity in Early Modern Philosophy

Ohad Nachtomy,Reed Winegar
Infinity in Early Modern Philosophy Book PDF

Author : Ohad Nachtomy,Reed Winegar
Publisher : Springer
Page : 211 pages
File Size : 53,5 Mb
Release : 2018-08-31
Category : Philosophy
ISBN : 9783319945569

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Infinity in Early Modern Philosophy by Ohad Nachtomy,Reed Winegar Pdf

This volume contains essays that examine infinity in early modern philosophy. The essays not only consider the ways that key figures viewed the concept. They also detail how these different beliefs about infinity influenced major philosophical systems throughout the era. These domains include mathematics, metaphysics, epistemology, ethics, science, and theology. Coverage begins with an introduction that outlines the overall importance of infinity to early modern philosophy. It then moves from a general background of infinity (before early modern thought) up through Kant. Readers will learn about the place of infinity in the writings of key early modern thinkers. The contributors profile the work of Descartes, Spinoza, Leibniz, and Kant. Debates over infinity significantly influenced philosophical discussion regarding the human condition and the extent and limits of human knowledge. Questions about the infinity of space, for instance, helped lead to the introduction of a heliocentric solar system as well as the discovery of calculus. This volume offers readers an insightful look into all this and more. It provides a broad perspective that will help advance the present state of knowledge on this important but often overlooked topic.

Philosophy of the Infinite

Henry Calderwood
Philosophy of the Infinite Book PDF

Author : Henry Calderwood
Publisher : BoD – Books on Demand
Page : 546 pages
File Size : 46,9 Mb
Release : 2022-06-12
Category : Fiction
ISBN : 9783375055851

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Philosophy of the Infinite by Henry Calderwood Pdf

Reprint of the original, first published in 1861.

Infinite Thought

Alain Badiou
Infinite Thought Book PDF

Author : Alain Badiou
Publisher : A&C Black
Page : 166 pages
File Size : 46,8 Mb
Release : 2005-05-01
Category : Philosophy
ISBN : 0826479294

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Infinite Thought by Alain Badiou Pdf

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.

Infinite Baseball

Alva Noë
Infinite Baseball Book PDF

Author : Alva Noë
Publisher : Oxford University Press, USA
Page : 209 pages
File Size : 42,9 Mb
Release : 2019
Category : SPORTS & RECREATION
ISBN : 9780190928186

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Infinite Baseball by Alva Noë Pdf

"...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."--Dust jacket flap.

Reasoning with the Infinite

Michel Blay
Reasoning with the Infinite Book PDF

Author : Michel Blay
Publisher : University of Chicago Press
Page : 230 pages
File Size : 40,6 Mb
Release : 1998
Category : History
ISBN : 0226058352

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Reasoning with the Infinite by Michel Blay Pdf

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

Hegel & the Infinite

Slavoj Žižek,Clayton Crockett,Creston Davis
Hegel the Infinite Book PDF

Author : Slavoj Žižek,Clayton Crockett,Creston Davis
Publisher : Columbia University Press
Page : 256 pages
File Size : 52,7 Mb
Release : 2011
Category : Methodology
ISBN : 9780231143356

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Hegel & the Infinite by Slavoj Žižek,Clayton Crockett,Creston Davis Pdf

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'.