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| Author | : Judith Veronica Field |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 264 |
| Release | : 1997 |
| Genre | : Art |
| ISBN | : 0198523947 |
Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.
| Author | : Brian Clegg |
| Publisher | : Robinson |
| Total Pages | : 185 |
| Release | : 2013-02-07 |
| Genre | : Mathematics |
| ISBN | : 1472107640 |
'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.
| Author | : Paolo Zellini |
| Publisher | : Penguin Global |
| Total Pages | : 212 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : David Deutsch |
| Publisher | : Penguin UK |
| Total Pages | : 571 |
| Release | : 2011-03-31 |
| Genre | : Science |
| ISBN | : 0141969695 |
'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
| Author | : Loren Graham |
| Publisher | : Harvard University Press |
| Total Pages | : 252 |
| Release | : 2009-03-31 |
| Genre | : History |
| ISBN | : 0674032934 |
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.
| Author | : John D. Barrow |
| Publisher | : Vintage |
| Total Pages | : 293 |
| Release | : 2007-12-18 |
| Genre | : Philosophy |
| ISBN | : 0307428761 |
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.
| Author | : Ian Stewart |
| Publisher | : Oxford University Press |
| Total Pages | : 161 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 0198755236 |
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.
| Author | : Rudy Rucker |
| Publisher | : Princeton University Press |
| Total Pages | : |
| Release | : 2019-07-23 |
| Genre | : Mathematics |
| ISBN | : 0691191255 |
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.
| Author | : Claudio Majolino |
| Publisher | : Springer Nature |
| Total Pages | : 387 |
| Release | : 2023-10-19 |
| Genre | : Philosophy |
| ISBN | : 3031341503 |
This book covers Husserl’s stance on the philosopher and the history of philosophy, whether or not such a history is part of the philosophical attitude itself, and if so, how Husserl’s phenomenology might weigh in on such matters. Firstly, this text spells out some of the manifold ways in which the history of philosophy works its way in Husserl’s phenomenology, showing how concepts, methods and problems drawn from various Ancient and Modern philosophical traditions (Platonism, Aristotelianism, Sophistry, Stoicism, Scholasticism, Modern Rationalism) are transformed and embedded within transcendental phenomenology itself. Secondly, it shows how a better understanding of the distinctive patterns by means of which Husserl’s phenomenology confronts the history of philosophy could be extremely significant for historians of philosophy who are interested in learning something entirely new about the unexplored horizons of such concepts, methods and problems. Finally, based on such twofold historical and philosophical approach and thanks to a substantial reinterpretation of some key phenomenological concepts such as “multiplicity”, “constitution”, “attitude” and “variation”, this book provides a novel and original reading of Husserl’s overall philosophical project in its full meaning and scope. By doing so, this volume appeals to both students and researchers and critically engages in mainstream interpretations of phenomenology, suggesting a unique take on the idea of transcendental phenomenology as a whole.
| Author | : Steven Strogatz |
| Publisher | : Eamon Dolan Books |
| Total Pages | : 389 |
| Release | : 2019 |
| Genre | : History |
| ISBN | : 1328879984 |
From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
