A Brief History of Infinity

A Brief History of Infinity

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  • Author: Brian Clegg
  • Publisher: Robinson
  • ISBN: 1472107640
  • Category : Mathematics
  • Languages : en
  • Pages : 185

'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric. Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.


A Brief History of Infinity

A Brief History of Infinity

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  • Author: Paolo Zellini
  • Publisher: Penguin Global
  • ISBN:
  • Category : Mathematics
  • Languages : en
  • Pages : 212

In A Brief History of Infinity, the infinite in all its forms - viewed from the perspective of mathematicians, philosophers, and theologians - is explored, as Zellini strives to explain this fundamental principle. What is the difference between trueand false infinity? How might we explain away the puzzle of Zeno's paradox? And how is the concept of infinity helping us as we wrestle with the fundamental uncertainties of the quantum world? Paolo Zellini shows that the concept of the infinite is a multifaceted one, and eloquently demonstrates the manner in which humanity has attempted to comprehend that concept for millenia.


Naming Infinity

Naming Infinity

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  • Author: Loren Graham
  • Publisher: Harvard University Press
  • ISBN: 0674032934
  • Category : History
  • Languages : en
  • Pages : 252

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.


The Beginning of Infinity

The Beginning of Infinity

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  • Author: David Deutsch
  • Publisher: Penguin UK
  • ISBN: 0141969695
  • Category : Science
  • Languages : en
  • Pages : 571

'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


Levels of Infinity

Levels of Infinity

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  • Author: Hermann Weyl
  • Publisher: Courier Corporation
  • ISBN: 0486266931
  • Category : Mathematics
  • Languages : en
  • Pages : 258

Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.


Achilles in the Quantum Universe

Achilles in the Quantum Universe

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  • Author: Richard Morris
  • Publisher: Macmillan
  • ISBN: 0805047794
  • Category : Astronomy
  • Languages : en
  • Pages : 239

Discusses how philosophers, logicians, mathematicians, and scientists throughout history have attempted to define infinity, and how each attempt has driven the advancement of physics and mathematics, including the development of relativity and quantum mechanics.


Infinity and the Mind

Infinity and the Mind

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  • Author: Rudy Rucker
  • Publisher: Bantam Books
  • ISBN: 5885010897
  • Category : Philosophy
  • Languages : en
  • Pages : 379

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."


The Invention of Infinity

The Invention of Infinity

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  • Author: Judith Veronica Field
  • Publisher: Oxford University Press, USA
  • ISBN: 0198523947
  • Category : Art
  • Languages : en
  • Pages : 264

Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.


Infinity

Infinity

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  • Author: Ian Stewart
  • Publisher: Oxford University Press
  • ISBN: 0198755236
  • Category : Mathematics
  • Languages : en
  • Pages : 161

Ian Stewart considers the concept of infinity and the profound role it plays in mathematics, logic, physics, cosmology, and philosophy. He shows that working with infinity is not just an abstract, intellectual exercise, and analyses its important practical everyday applications.


Infinity of Nations

Infinity of Nations

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  • Author: National Museum of the American Indian
  • Publisher: Harper Collins
  • ISBN: 006154731X
  • Category : History
  • Languages : en
  • Pages : 324

The National Museum of the American Indian is one of the world's great conservators of cultural heritage, and its collections hold more than 800,000 objects spanning 13,000 years of history of the Native peoples of the Western Hemisphere, from Tierra del Fuego in the south to the Arctic in the north. Drawing on new insights from archaeology, history, and art history, Infinity of Nations uses culturally, historically, and aesthetically significant objects as a point of entry to understanding the people who created them. Following an introduction on the power of objects to engage our imagination, each chapter presents an overview of a region of the Americas and its cultural complexities, written by a noted specialist on that region. Community knowledge-keepers and an impressive new generation of Native scholars contribute highlights on objects that represent important ideas or that capture moments of social change. Together these writers create an extraordinary mosaic. What emerges is a portrait of a complex and dynamic world shaped from its earliest history by contact and exchange among peoples. Illustrated with more than 200 strikingly beautiful photographs published here for the first time, Infinity of Nations opens new avenues that extend well beyond those of conventional cultural studies. Authoritative and accessible, here is an important resource for anyone interested in learning about Native cultures of the Americas.