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 : 22. 18 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.

What Makes Us Think

Author : Jean-Pierre Changeux
ISBN : 0691092850
Genre : Philosophy
File Size : 47. 41 MB
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Will understanding our brains help us to know our minds? Or is there an unbridgeable distance between the work of neuroscience and the workings of human consciousness? In a remarkable exchange between neuroscientist Jean-Pierre Changeux and philosopher Paul Ricoeur, this book explores the vexed territory between these divergent approaches--and comes to a deeper, more complex perspective on human nature. Ranging across diverse traditions, from phrenology to PET scans and from Spinoza to Charles Taylor, What Makes Us Think? revolves around a central issue: the relation between the facts (or "what is") of science and the prescriptions (or "what ought to be") of ethics. Changeux and Ricoeur ask: Will neuroscientific knowledge influence our moral conduct? Is a naturally based ethics possible? Pursuing these questions, they attack key topics at the intersection of philosophy and neuroscience: What are the relations between brain states and psychological experience? Between language and truth? Memory and culture? Behavior and action? What is a mental representation? How does a sign relate to what it signifies? How might subjective experience be constructed rather than discovered? And can biological or cultural evolution be considered progressive? Throughout, Changeux and Ricoeur provide unprecedented insight into what neuroscience can--and cannot--tell us about the nature of human experience. Changeux and Ricoeur bring an unusual depth of engagement and breadth of knowledge to each other's subject. In doing so, they make two often hostile disciplines speak to one another in surprising and instructive ways--and speak with all the subtlety and passion of conversation at its very best.

Triangle Des Pens Es

Author : Alain Connes
ISBN : 082182614X
Genre : Mathematics
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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.

Lost In Math

Author : Sabine Hossenfelder
ISBN : 9780465094264
Genre : Science
File Size : 22. 92 MB
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A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

Before Tomorrow

Author : Catherine Malabou
ISBN : 9780745691527
Genre : Philosophy
File Size : 28. 56 MB
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Is contemporary continental philosophy making a break with Kant? The structures of knowledge, taken for granted since Kantï¿1⁄2s Critique of Pure Reason, are now being called into question: the finitude of the subject, the phenomenal given, a priori synthesis. Relinquish the transcendental: such is the imperative of postcritical thinking in the 21st century. Questions that we no longer thought it possible to ask now reemerge with renewed vigor: can Kant really maintain the difference between a priori and innate? Can he deduce, rather than impose, the categories, or justify the necessity of nature? Recent research into brain development aggravates these suspicions, which measure transcendental idealism against the thesis of a biological origin for cognitive processes. In her important new book Catherine Malabou lays out Kantï¿1⁄2s response to his posterity. True to its subject, the book evolves as an epigenesis ï¿1⁄2 the differentiated growth of the embryo ï¿1⁄2 for, as those who know how to read critical philosophy affirm, this is the very life of the transcendental and contains the promise of its transformation.

Mind Over Matter

Author : K. C. Cole
ISBN : 9780547973128
Genre : Science
File Size : 28. 27 MB
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“Ruminations on every scientific subject over the sun—and plenty beyond it”—from the bestselling author of The Universe and the Teacup (The Boston Globe). A San Jose Mercury News Best Book of the Year A recipient of the American Institute of Physics Award for Best Science Writer, K. C. Cole offers a wide-ranging collection of essays about the nature of nature, the universals in the universe, and the messy playfulness of great science. In witty and fresh short takes, she explores some of the world’s most intriguing scientific subjects—from particle physics to cosmology to mathematics and astronomy—and introduces a few of science’s great minds. Revealing the universe to be elegant, intriguing, and, above all, relevant to our everyday lives, this book is “an absolute delight [that] belongs on the bedside bookshelf of every science enthusiast” (San Jose Mercury News). “Cole seeks the wondrous in the stuff we mistake for just ordinary.” —Publishers Weekly K. C. Cole, the Los Angeles Times science writer and columnist, always has a fresh take on cutting-edge scientific discoveries, which she makes both understandable and very human. Reporting on physics, cosmology, mathematics, astronomy, and more, Cole's essays, culled from her popular Mind Over Matter columns, reveal the universe as simple, constant, and complex—and wholly relevant to politics, art, and every dimension of human life.

Thinking About Android Epistemology

Author : Kenneth M. Ford
ISBN : 0262562170
Genre : Computers
File Size : 55. 72 MB
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Articles by various authors arranged in 5 parts.

Contextuality From Quantum Physics To Psychology

Author : Ehtibar Dzhafarov
ISBN : 9789814730624
Genre : Mathematics
File Size : 90. 71 MB
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The book explores the variety of meanings of contextuality across different disciplines, with the emphasis on quantum physics and on psychology. Contents:Conversations on Contextuality (Ehtibar N Dzhafarov & Janne V Kujala)Contextual Semantics (Samson Abransky)From Coupling to Copula (Hans Colonius)Einstein, Bohm, and Leggett-Garg (Guido Bacciagaluppi)It is the Theory Which Decides What We Can Observe (Thomas Filk)Reality, Contextuality, and Probability in Quantum Theory and Beyond (Arkady Plotnitsky)Contextual Emergence (Harald Atmanspacher)Contextuality in Physics and Quantum Cognition (J Acacio de Barros & Gary Oas)End-Directedness and Context in Nonliving Dissipative Systems (James A Dixon, Dilip Kondepudi, Bruce A Kay & Tehran J Davis)Foregrounding the Background (J Scott Jordan, Jiuyang Bai, Vincent Cialdella & Daniel Schloesser)Symmetry-Breaking in Multiagent Coordination (Michael J Richardson & Rachel W Kallen)Probabilistic Contextuality (Janne V Kujala & Ehtibar N Dzhafarov)Quantum Thinking and Counterfactual Reasoning (Louis Narens)Quantum Theory, Active Information and the Mind-Matter Problem (Paavo Pylkkänen)Principles Defining Quantum Mechanics (Gary Oas & J Acacio de Barros)Our (Represented) World: A Quantum-Like Object (Ariane Lambert-Mogiliansky & Francois Dubois)Why Would You Want to Borrow from My Discipline? (Emmanuel Haven)Quantum Information Biology (Masanari Asano, Irina Basieva, Andrei Khrennikov, Masanori Ohya, Yoshiharu Tanaka & Ichiro Yamato)Similarity Judgments: From Classical to Complex Vector Psychological Spaces (Albert Barque Duran, Emmanuel M Pothos, James M Yearsley, James A Hampton, Jerome R Busemeyer & Jennifer S Trueblood)A Quantum Bayes Net Approach to Causal Reasoning (Jennifer S Trueblood, Percy K Mistry & Emmanuel M Pothos) Readership: Researchers in quantum physics, mathematical modelling and cognitive science. Key Features:It is historically the first book dedicated entirely to contextualityIt is interdisciplinary, involving quantum physicists, computer scientists, mathematicians, analytic philosophers, economists, and psychologistsIts chapters are written by leading specialists in these various fieldsKeywords:Contextuality;Quantum Physics;Psychology

Reflections On Kurt G Del

Author : Hao Wang
ISBN : 0262730871
Genre : Biography & Autobiography
File Size : 69. 74 MB
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Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific andphilosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of thegreatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang,who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideasand their connection with grand themes in the history of mathematics and philosophy.The subjects hecovers include the completeness of elementary logic, the limits of formalization, the problem ofevidence, the concept of set, the philosophy of mathematics, time, and relativity theory,metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whosereflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes hisideas from those of Gödel's and on points of agreement develops Gödel's views further.The bookprovides a generous array of information on and interpretation of the two main phases of Gödel'scareer - the years between 1924 and 1939 at the University of Vienna, which were marked by intensemathematical creativity, and the period from 1940 to his death in 1978, during which he wasaffiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interestssteadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations withthe Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate andmutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel washospitalized a number of times over the course of his life.Hao Wang is Professor of Logic at TheRockefeller University and author of scores of articles and several books on logic, computers, andphilosophy, including From Mathematics to Philosophy (extensively discussed with Gödel andcontaining contributions by him) and Beyond Analytic Philosophy: Doing Justice to What We Know (MITPress Bradford Books). He is currently preparing a companion volume, Conversations with Kurt Gödelwhich will concentrate on Gödel's unpublished ideas. A Bradford Book.

Encounters With Einstein

Author : Werner Heisenberg
ISBN : 0691024332
Genre : Science
File Size : 75. 49 MB
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Essays discuss the philosophy of science, quantum mechanics, cosmic radiation, elementary particles, and closed theories

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