The Infinite Tortoise

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The Riddle Of The Infinite Or Ananta

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Author : Jayant Burde
language : en
Publisher: Motilal Banarsidass
Release Date : 2019

The Riddle Of The Infinite Or Ananta written by Jayant Burde and has been published by Motilal Banarsidass this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematics categories.

This book explores the bizarre but fascinating world of infinity in different disciplines of knowledge; mathematics, science, philosophy and religion. It projects the views of eastern as well as western scholars. This world is not only mysterious but also treacherous and conceals many conundrums such as a multitude of infinities, the mystic's experience of the infinite, conception of God as absolute infinity. The author also discusses many paradoxes relating to space and time. It is interesting to discover that some eastern philosophies try to reconcile two opposite concepts of sunya (zero) and Ananta (the infinite). The author also ventures to address a difficult question: Does infinity exist as a physical reality?

The Infinite Book

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Author : John D. Barrow
language : en
Publisher: Vintage
Release Date : 2007-12-18

The Infinite Book written by John D. Barrow and has been published by Vintage this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-18 with Philosophy categories.

For a thousand years, infinity has proven to be a difficult and illuminating challenge for mathematicians and theologians. It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

The Infinite Tortoise

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Author : Joel Levy
language : en
Publisher: Michael O'Mara Books
Release Date : 2016-09-29

The Infinite Tortoise written by Joel Levy and has been published by Michael O'Mara Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-29 with Philosophy categories.

A clear, concise and fascinating guide to philosophical thought experiments and how they've shaped our understanding of the world.

Infinity A Very Short Introduction

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Author : Ian Stewart
language : en
Publisher: Oxford University Press
Release Date : 2017-03-13

Infinity A Very Short Introduction written by Ian Stewart and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-13 with Mathematics categories.

Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Thinking Things Through

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Author : Clark N. Glymour
language : en
Publisher: MIT Press
Release Date : 1997

Thinking Things Through written by Clark N. Glymour and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Philosophy categories.

Thinking Things Through provides a broad, historical, and rigorous introduction to the logical tradition in philosophy and to its contemporary significance. The presentation is centered around three of the most fruitful issues in Western thought: What are proofs, and why do they provide knowledge? How can experience be used to gain knowledge or to alter beliefs in a rational way? What is the nature of mind and of mental events and mental states? In a clear and lively style, Glymour describes these key philosophical problems and traces attempts to solve them, from ancient Greece to the present. Thinking Things Through reveals the philosophical sources of modern work in logic, the theory of computation, Bayesian statistics, cognitive psychology, and artificial intelligence, and it connects these subjects with contemporary problems in epistemology and metaphysics. The text is full of examples and problems, and an instructor's manual is available.Clark Glymour is Alumni Professor of Philosophy at Carnegie-Mellon University and Adjunct Professor of History and Philosophy of Science at the University of Pittsburgh.

Mathematics Of Infinity

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Author : Eleanor Hawking
language : en
Publisher: Publifye AS
Release Date : 2025-02-12

Mathematics Of Infinity written by Eleanor Hawking and has been published by Publifye AS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-12 with Science categories.

""Mathematics of Infinity"" explores the concept of infinity across mathematics and physics, revealing its profound implications and the paradoxes that arise when attempting to define and manipulate it. The book focuses on the mathematical formalization of infinity through set theory, the paradoxes emerging from infinite processes like Zeno's paradox, and infinity's role in modern physics, particularly in cosmology and quantum mechanics. This exploration highlights how infinity challenges our intuition and pushes the boundaries of established scientific thought, revealing its crucial role in interpreting the universe's mysteries. The book traces the historical development of our understanding of infinity, from philosophical debates to groundbreaking mathematical work. It examines how infinity manifests in singularities within general relativity, the infinite degrees of freedom in quantum field theory, and the concept of an infinite universe. By establishing interdisciplinary connections, the book demonstrates how similar mathematical concepts and paradoxes appear across diverse fields, offering a unified perspective on infinity and its applications. Each section builds upon the previous one, culminating in a discussion of the intertwined nature of these concepts and their implications for future research.

The Non Euclidean Revolution

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Author : Richard J. Trudeau
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-08

The Non Euclidean Revolution written by Richard J. Trudeau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-08 with Mathematics categories.

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America. “...the author, in this remarkable book, describes in an incomparable way the fascinating path taken by the geometry of the plane in its historical evolution from antiquity up to the discovery of non-Euclidean geometry. This 'non-Euclidean revolution', in all its aspects, is described very strikingly here...Many illustrations and some amusing sketches complement the very vividly written text.” Mathematical Reviews

The Philosophical Foundations Of Christian Science

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Author : Nicholas Sheldon
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-01-01

The Philosophical Foundations Of Christian Science written by Nicholas Sheldon and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-01 with Philosophy categories.

Mary Baker Eddy (1821-1910) is best known for founding the religion of Christian Science - an international institution which has extended beyond her lifetime and into the twenty-first century. Often labelled as fringe theology, rather than core philosophy, Eddy’s work has remained on the peripheries of academia. Her unmitigated idealism, and occasionally nebulous style, have led to a reluctance to apply a philosophical rigour to her thinking. In The Philosophical Foundations of Christian Science, Nicholas Sheldon rediscovers her as a radical philosopher, one of many female philosophers of her time who, he contends, should no longer be underestimated. Carefully analysing her non-linear style in order to understand her internal system of thought, Sheldon resolves flaws within her argument, and draws out Christian Science’s remarkable philosophical assertion: that it is not only illness and suffering which are unreal, but the entire physical realm. For Eddy, it is only the spiritual which remains.

Understanding Primary Mathematics

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Author : Christine Hopkins
language : en
Publisher: Routledge
Release Date : 2013-01-11

Understanding Primary Mathematics written by Christine Hopkins and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Education categories.

In this textbook, the foundations of mathematics are made explicit and the reader is guided through the background knowledge and understanding that are required for the subject, offering a well-structured overview of the important issues to be considered when learning about mathematics on a Primary QTS course, and a coherent approach to the content to be found in the standards for QTS, the National Curriculum at Key Stages 1 and 2 and the numeracy strategy. The authors aim to help teachers review and restructure the understanding of mathematics gained during their education, progressing from partial memories of a few process to an understanding of why the skills they were taught make sense and how they fit into a coherent mathematics curriculum, arguing that to teach mathematics effectively it is not enough to be able to do the mathematics, you need to understand why you do what you do. Aimed at all teachers of primary mathematics, this book is also likely to be valuable to secondary teachers, parents, administrators and others interested in the foundations of school mathematics. Written for trainee and practicing teachers, this book de-mystifies the primary mathematics UK curriculum and offers a valuable reference for effective mathematicss teaching.

Roads To Infinity

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Author : John Stillwell
language : en
Publisher: CRC Press
Release Date : 2010-07-13

Roads To Infinity written by John Stillwell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-13 with Mathematics categories.

Winner of a CHOICE Outstanding Academic Title Award for 2011! This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject. Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Gödel.