Infinity and the Mind


Book Description

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 Beginning of Infinity


Book Description

'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




An Infinity of Worlds


Book Description

What happened before the primordial fire of the Big Bang: a theory about the ultimate origin of the universe. In the beginning was the Big Bang: an unimaginably hot fire almost fourteen billion years ago in which the first elements were forged. The physical theory of the hot nascent universe—the Big Bang—was one of the most consequential developments in twentieth-century science. And yet it leaves many questions unanswered: Why is the universe so big? Why is it so old? What is the origin of structure in the cosmos? In An Infinity of Worlds, physicist Will Kinney explains a more recent theory that may hold the answers to these questions and even explain the ultimate origins of the universe: cosmic inflation, before the primordial fire of the Big Bang. Kinney argues that cosmic inflation is a transformational idea in cosmology, changing our picture of the basic structure of the cosmos and raising unavoidable questions about what we mean by a scientific theory. He explains that inflation is a remarkable unification of inner space and outer space, in which the physics of the very large (the cosmos) meets the physics of the very small (elementary particles and fields), closing in a full circle at the first moment of time. With quantum uncertainty its fundamental feature, this new picture of cosmic origins introduces the possibility that the origin of the universe was of a quantum nature. Kinney considers the consequences of eternal cosmic inflation. Can we come to terms with the possibility that our entire observable universe is one of infinitely many, forever hidden from our view?




Desert Islands


Book Description

An anthology of 40 texts and interviews written over 20 years by French philosopher Gilles Deleuze, of which the early texts belong to literary criticism. Philosophy clearly dominates the rest of the book with a surprise admission by Deleuze that Sartre was his master.




Infinity, Faith, and Time


Book Description

Infinity, Faith, and Time is an exploration of Renaissance literature and the importance of a powerful tradition of Christian-Platonist rational spirituality derived from St Augustine and Nicholas of Cusa. John Spencer Hill argues that this tradition had




The Infinite Book


Book Description

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.




To Infinity and Beyond


Book Description

The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite. . . - David Hilbert (1862-1943) Infinity is a fathomless gulf, There is a story attributed to David Hilbert, the preeminent mathe into which all things matician whose quotation appears above. A man walked into a vanish. hotel late one night and asked for a room. "Sorry, we don't have o Marcus Aurelius (121- 180), Roman Emperor any more vacancies," replied the owner, "but let's see, perhaps and philosopher I can find you a room after alL" Leaving his desk, the owner reluctantly awakened his guests and asked them to change their rooms: the occupant of room #1 would move to room #2, the occupant of room #2 would move to room #3, and so on until each occupant had moved one room over. To the utter astonish ment of our latecomer, room #1 suddenly became vacated, and he happily moved in and settled down for the night. But a numbing thought kept him from sleep: How could it be that by merely moving the occupants from one room to another, the first room had become vacated? (Remember, all of the rooms were occupied when he arrived.




Infinity Net: The Autobiography of Yayoi Kusama


Book Description

I am deeply terrified by the obsessions crawling over my body, whether they come from within me or from outside. I fluctuate between feelings of reality and unreality. I, myself, delight in my obsessions.'Yayoi Kusama is one of the most significant contemporary artists at work today. This engaging autobiography tells the story of her life and extraordinary career in her own words, revealing her as a fascinating figure and maverick artist who channels her obsessive neuroses into an art that transcends cultural barriers. Kusama describes the decade she spent in New York, first as a poverty stricken artist and later as the doyenne of an alternative counter-cultural scene. She provides a frank and touching account of her relationships with key art-world figures, including Georgia O'Keeffe, Donald Judd and the reclusive Joseph Cornell, with whom Kusama forged a close bond. In candid terms she describes her childhood and the first appearance of the obsessive visions that have haunted her throughout her life. Returning to Japan in the early 1970s, Kusama checked herself into a psychiatric hospital in Tokyo where she resides to the present day, emerging to dedicate herself with seemingly endless vigour to her art and her writing. This remarkable autobiography provides a powerful insight into a unique artistic mind, haunted by fears and phobias yet determined to maintain her position at the forefront of the artistic avant-garde. In addition to her artwork, Yayoi Kusama is the author of numerous volumes of poetry and fiction, including The Hustler's Grotto of Christopher Street, Manhattan Suicide Addict and Violet Obsession.




Leibniz’s Metaphysics of Time and Space


Book Description

Leibniz’s metaphysics of space and time stands at the centre of his philosophy and is one of the high-water marks in the history of the philosophy of science. In this work, Futch provides the first systematic and comprehensive examination of Leibniz’s thought on this subject. In addition to elucidating the nature of Leibniz’s relationalism, the book fills a lacuna in existing scholarship by examining his views on the topological structure of space and time, including the unity and unboundedness of space and time. It is shown that, like many of his more recent counterparts, Leibniz adopts a causal theory of time where temporal facts are grounded on causal facts, and that his approach to time represents a precursor to non-tensed theories of time. Futch then goes on to situate Leibniz’s philosophy of space and time within the broader context of his idealistic metaphysics and natural theology. Emphasizing the historical background of Leibniz’s thought, the book also places him in dialogue with contemporary philosophy of science, underscoring the enduring philosophical interest of Leibniz’s metaphysics of time and space.




On the Infinite, the Universe and the Worlds


Book Description

In 1584, while living in the household of Michel de Castelnau, the French Ambassador to the court of Queen Elizabeth of England, Giordano Bruno completed three books of cosmological dialogues: The Ash Wednesday Supper; On Cause, Principle and Unity; and the current volume, On the Infinite, the Universe and the Worlds. Drawing on the work of Lucretius, Nicholas da Cusa, Nicholas Copernicus and others, Bruno developed the theory of an infinitely extensive universe, filled with stars like our sun and planets like our own.Giordano Bruno's heretical ideas and forceful personality led to a turbulent life in which he travelled to most of the great academic and cultural centers of Europe, culminating in his trial and execution by the Roman Inquisition in 1600.Recently, this work and Giordano Bruno were referenced in the new series of Cosmos.