The Passion of Infinity

The Passion of Infinity
Title The Passion of Infinity PDF eBook
Author Daniel Greenspan
Publisher Walter de Gruyter
Pages 349
Release 2008-11-03
Genre Philosophy
ISBN 3110211173

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The Passion of Infinity generates a historical narrative surrounding the concept of the irrational as a threat which rational culture has made a series of attempts to understand and relieve. It begins with a reading of Sophocles' Oedipus as the paradigmatic figure of a reason that, having transgressed its mortal limit, becomes catastrophically reversed. It then moves through Aristotle's ethics, psychology and theory of tragedy, which redefine reason's collapses in moral-psychological rather than religious terms. By changing the way in which the irrational is conceived, and the nature of its relation to reason, Aristotle eliminates the concept of an irrationality which reason cannot in principle dissolve. The book culminates in an extensive reading of Kierkegaard's pseudonyms, who, in a critical retrieval of both Greek tragedy and Aristotle, prescribe their apparently pathological age a paradoxical task: develop a finite form of subjectivity willing to undergo an unthinkable thought ‐ allow the transcendence of a god to enter into the mind as well as the marrow, to make a tragic appearance in which a limit to the immanence of human reason can again be established.

Naming Infinity

Naming Infinity
Title Naming Infinity PDF eBook
Author Loren Graham
Publisher Harvard University Press
Pages 252
Release 2009-03-31
Genre History
ISBN 0674032934

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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
Title The Beginning of Infinity PDF eBook
Author David Deutsch
Publisher Penguin UK
Pages 571
Release 2011-03-31
Genre Science
ISBN 0141969695

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'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

The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan

The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan
Title The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan PDF eBook
Author Amy Alznauer
Publisher Candlewick
Pages 49
Release 2020-04-14
Genre Juvenile Nonfiction
ISBN 0763690481

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A young mathematical genius from India searches for the secrets hidden inside numbers — and for someone who understands him — in this gorgeous picture-book biography. A mango . . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach. In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. “What is small?” he wonders. “What is big?” Head in the clouds, Ramanujan struggles in school — but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived? Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares’s illustrations bring the wonder of Ramanujan’s world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author’s note recounting more of Ramanujan’s life and accomplishments, as well as the author’s father’s remarkable discovery of Ramanujan’s Lost Notebook.

A Brief History of Infinity

A Brief History of Infinity
Title A Brief History of Infinity PDF eBook
Author Brian Clegg
Publisher Robinson
Pages 185
Release 2013-02-07
Genre Mathematics
ISBN 1472107640

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'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.

Mirrors of Infinity:

Mirrors of Infinity:
Title Mirrors of Infinity: PDF eBook
Author Allen S. Weiss
Publisher Princeton Architectural Press
Pages 116
Release 1995
Genre Architecture
ISBN 9781568980508

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Resource added for the Landscape Horticulture Technician program 100014.

Gardens and the Passion for the Infinite

Gardens and the Passion for the Infinite
Title Gardens and the Passion for the Infinite PDF eBook
Author Anna-Teresa Tymieniecka
Publisher Springer Science & Business Media
Pages 352
Release 2013-06-29
Genre Philosophy
ISBN 9401716587

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What essentially is a garden? Is it a small plot of land that we put aside to cultivate our favorite vegetables or to grow flowers for our personal enjoyment? Or is it a symbol, a mirror, a reflection of our human passions? The topic of the present volume is the mysterious ways in which Imaginatio Creatix plays within the human ingrowness in natural life, transposing dreams, nostalgias, and enchantments.