conversations on mind matter and mathematics

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Conversations On Mind Matter And Mathematics

Author : Jean-Pierre Changeux
ISBN : 0691004056
Genre : Mathematics
File Size : 60. 65 MB
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Do numbers and the other objects of mathematics enjoy a timeless existence independent of human minds, or are they the products of cerebral invention? Do we discover them, as Plato supposed and many others have believed since, or do we construct them? Does the physical world actually obey mathematical laws, or does it seem to conform to them simply because physicists have increasingly been able to make mathematical sense of it? Does mathematics constitute a universal language that in principle would permit human beings to communicate with extraterrestrial civilizations elsewhere in the universe, or is it merely an earthly language that owes its accidental existence to the peculiar evolution of neuronal networks in our brains? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. Why order should exist in the world at all, and why it should be comprehensible to human beings, is the question that lies at the heart of these remarkable dialogues.

Triangle Of Thoughts

Author : Alain Connes
ISBN : 9780821826140
Genre : Mathematics
File Size : 57. 43 MB
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Our view of the world today is fundamentally influenced by twentieth century results in physics and mathematics. Here, three members of the French Academy of Sciences: Alain Connes, Andre Lichnerowicz, and Marcel Paul Schutzenberger, discuss the relations among mathematics, physics and philosophy, and other sciences. Written in the form of conversations among three brilliant scientists and deep thinkers, the book touches on, among others, the following questions: Is there a ``primordial truth'' that exists beyond the realm of what is provable? More generally, is there a distinction between what is true in mathematics and what is provable? How is mathematics different from other sciences? How is it the same? Does mathematics have an ``object'' or an ``object of study'', the way physics, chemistry and biology do? Mathematics is a lens, through which we view the world. Connes, Lichnerowicz, and Schutzenberger examine that lens, to understand how it affects what we do see, but also to understand how it limits what we can see. How does a well-informed mathematician view fundamental topics of physics, such as: quantum mechanics, general relativity, quantum gravity, grand unification, and string theory? What are the relations between computational complexity and the laws of physics? Can pure thought alone lead physicists to the right theories, or must experimental data be the driving force? How should we compare Heisenberg's arrival at matrix mechanics from spectral data to Einstein's arrival at general relativity through his thought experiments? The conversations are sprinkled with stories and quotes from outstanding scientists, which enliven the discourse. The book will make you think again about things that you once thought were quite familiar. Alain Connes is one of the founders of non-commutative geometry. He holds the Chair of Analysis and Geometry at the College de France. He was awarded the Fields Medal in 1982. In 2001, he was awarded the Crafoord Prize by The Royal Swedish Academy of Sciences. Andre Lichnerowicz, mathematician, noted geometer, theoretical physicist, and specialist in general relativity, was a professor at the College de France. Marcel Paul Schutzenberger made brilliant contributions to combinatorics and graph theory. He was simultaneously a medical doctor, a biologist, a psychiatrist, a linguist, and an algebraist.

Neuronal Man

Author : Jean-Pierre Changeux
ISBN : 0691026661
Genre : Medical
File Size : 49. 65 MB
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Over the past thirty-five years, there has been an explosive increase in scientists' ability to explain the structure and functioning of the human brain. While psychology has advanced our understanding of human behavior, various other sciences, such as anatomy, physiology, and biology, have determined the critical importance of synapses and, through the use of advanced technology, made it possible actually to see brain cells at work within the skull's walls. Here Jean-Pierre Changeux elucidates our current knowledge of the human brain, taking an interdisciplinary approach and explaining in layman's terms the complex theories and scientific breakthroughs that have significantly improved our understanding in the twentieth century. "Jean-Pierre Changeux ... explores the fascinating question of how the human brain, similar in so many ways to the brains of less developed species, is able to accomplish so much more.... [He] presents his ... view with verve, conviction, and an admirable lucidity".--Richard Restak, Washington Post Book World"An outstanding attempt to convey to the general public an interdisciplinary understanding of the human nervous system".-- Nature

Mind Over Matter

Author : Marc Sumerak
ISBN : 1599612224
Genre : Juvenile Fiction
File Size : 77. 57 MB
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Young superheroes Alex, Julie, Jack, and Katie Power team up with X-Men's The Beast to discover why their father is acting strangely.

Neurophilosophy

Author : Patricia Smith Churchland
ISBN : 0262530856
Genre : Medical
File Size : 53. 3 MB
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Neurophilosophy is a rich interdisciplinary study of the prospects for a unified cognitive neurobiology. Contemporary research in the empirical neurosciences, and recent research in the philosophy of mind and the philosophy of science, are used to illuminate fundamental questions concerning the relation between abstract cognitive theory and substantive neuroscience. A Bradford Book.

A Mathematician S Survival Guide

Author : Steven George Krantz
ISBN : 9780821834558
Genre : Mathematics
File Size : 57. 29 MB
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When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. Here now is a detailed guide to help you navigate graduate school and the years that follow. In his inimitable and forthright style, Steven Krantz addresses the major issues of graduate school, including choosing a program, passing the qualifying exams, finding an advisor, writing a thesis, and getting your first job. As with his earlier guide, How to Teach Mathematics, he avoids generalities, giving clear advice on how to handle real situations. The book also contains a description of the basic elements of a mathematical education, as well as a glossary and appendices on the structure of a typical department and university and the standard academic ranks. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published 130 research articles and 45 books. He has worked in many different types of mathematics departments, supervised both masters and doctoral students, and is currently the Chair of the Mathematics Department at Washington University in St. Louis.

Birth Of A Theorem

Author : Cédric Villani
ISBN : 9780374710231
Genre : Biography & Autobiography
File Size : 75. 89 MB
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In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

Practical Mind Reading

Author : William Walker Atkinson
ISBN : 9781616403195
Genre : Self-Help
File Size : 71. 21 MB
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Followers of the New Thought movement of a century ago vehemently believed in the concept of "mind over matter," and one of the most influential thinkers of this early "New Age" philosophy here offers the latest (as of the turn of the 20th century) scientific investigations and proofs for the elusive marvel of mind reading, full instruction for tapping into the "Nerve Currents" that course through your brain and into the brains of others, and complete directions for parlor demonstrations and sensational feats that will astound your friends.

The Divine Challenge

Author : John Byl
ISBN : 0851518877
Genre : Religion
File Size : 83. 31 MB
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Since the Beginning of time man has challenged God's supremacy, striving to dethrone God and reinterpret the universe according to his own standards and purposes. In response God, who is determined to destroy the wisdom of the worldly wise and to unmask it for the foolishness that it really is, issues his own challenge to sinful man. Arrogantly, modern scientific man takes up that divine challenge, arming himself with scientific knowledge and technological power. Indeed, man has convinced himself that this rational wisdom has made foolish the wisdom of Scripture, with its tall tales of a personal God, of life after death, and of heaven and hell. 'Such notions', Einstein declared, 'are for the fears or absurd egoism of feeble souls.' John byl argues that the Christian worldview provides the only foundation for logic, mathematics, science and morality. The Divine Challenge aims to substantiate this bold claim. Byl shows the failure of today's predominant philosophies to provide a coherent worldview that can yield a plausible account of the various aspects of life as we experience it.

The Number Sense How The Mind Creates Mathematics

Author : Stanislas Dehaene
ISBN : 9780199881055
Genre : Mathematics
File Size : 39. 93 MB
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The Number Sense is an enlightening exploration of the mathematical mind. Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

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