The Smaller Infinity
The Smaller Infinity

Author: Patricia Monk

Publisher: University of Toronto Press

Published: 1982-12-15

Total Pages: 314

ISBN-13: 1487586507

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The concepts of the Jungian theory of personality have long held considerable interest for Robertson Davies, both outside his fiction and as the explicit subject of The Manticore. This interpretive study discusses Davies' use of Jungian psychology as both a structural and a thematic device and touches on related themes of illusion and the nature of reality. Drawing extensively on early reviews and articles, Monk sketches the background to Davies' preoccupation with psychology, revealing its influence on his early writings, including the effect of the Jungian concept of the persona on Shakespeare's Boy Actors and the ocncept of the shadow on the Samuel Marchbanks material. She also notes the introduction of the important themes of illusion, as a mask for reality, and ambivalence which are extended in the Salterton trilogy, Fifth Business, and The Manticore. Monk concludes that World of Wonders reveals an apparent but unsuccessful attempt on Davies' part to get away from Jungian psychology, and an exploration of alternative myths of human identity: the romance myth of the hero and the Spenglerian myth of the Magian soul.

Infinity
Infinity

Author: Ian Stewart

Publisher: Oxford University Press

Published: 2017

Total Pages: 161

ISBN-13: 0198755236

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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 and Me
Infinity and Me

Author: Kate Hosford

Publisher: Carolrhoda Books ®

Published: 2013-11-01

Total Pages: 40

ISBN-13: 1467737917

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When I looked up, I shivered. How many stars were in the sky? A million? A billion? Maybe the number was as big as infinity. I started to feel very, very small. How could I even think about something as big as infinity? Uma can't help feeling small when she peers up at the night sky. She begins to wonder about infinity. Is infinity a number that grows forever? Is it an endless racetrack? Could infinity be in an ice cream cone? Uma soon finds that the ways to think about this big idea may just be . . . infinite.

Infinity and the Mind
Infinity and the Mind

Author: Rudy Rucker

Publisher: Bantam Books

Published: 1983-01-01

Total Pages: 379

ISBN-13: 5885010897

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

Author: Amy Alznauer

Publisher: Candlewick

Published: 2020-04-14

Total Pages: 49

ISBN-13: 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.

The Beginning of Infinity
The Beginning of Infinity

Author: David Deutsch

Publisher: Penguin UK

Published: 2011-03-31

Total Pages: 571

ISBN-13: 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

Beyond Infinity
Beyond Infinity

Author: Eugenia Cheng

Publisher: Profile Books

Published: 2017-03-09

Total Pages: 191

ISBN-13: 1782830812

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SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.

Naming Infinity
Naming Infinity

Author: Loren Graham

Publisher: Harvard University Press

Published: 2009-03-31

Total Pages: 252

ISBN-13: 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.

Images of Infinity
Images of Infinity

Author: Ray Hemmings

Publisher: Tarquin Group

Published: 2017-06

Total Pages: 0

ISBN-13: 9781911093466

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Ideas and Explorations of the Meaning of Infinity Who has not wondered if there is something beyond the universe? Or if there is a biggest number? Or if there is something smaller than the smallest thing? These are questions about different infinities. Exploring the paradoxes and riddles of what infinity means is the invitation contained in this book. This classic book, written by the seminal Leapfrogs team, has been visually updated in this second edition for a new generation. A great addition to any mathematician's library - and to school and public libraries too. Explorations for all ages. Elegant, thought provoking and wonderful.

Lectures on the Philosophy of Mathematics
Lectures on the Philosophy of Mathematics

Author: Joel David Hamkins

Publisher: MIT Press

Published: 2021-03-09

Total Pages: 350

ISBN-13: 0262542234

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An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.