Conversations On Mind Matter And Mathematics
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Conversations On Mind Matter And Mathematics
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Author : Jean-Pierre Changeux
language : en
Publisher:
Release Date : 1995
Conversations On Mind Matter And Mathematics written by Jean-Pierre Changeux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Conversations On Mind Matter And Mathematics
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Author : Jean-Pierre Changeux
language : en
Publisher: Princeton University Press
Release Date : 1998-12-27
Conversations On Mind Matter And Mathematics written by Jean-Pierre Changeux and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-27 with Philosophy categories.
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 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? 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? Jean-Pierre Changeux, an internationally renowned neurobiologist, and Alain Connes, one of the most eminent living mathematicians, find themselves deeply divided by these questions. The problematic status of mathematical objects leads Changeux and Connes to the organization and function of the brain, the ways in which its embryonic and post-natal development influences the unfolding of mathematical reasoning and other kinds of thinking, and whether human intelligence can be simulated, modeled,--or actually reproduced-- by mechanical means. The two men go on to pose ethical questions, inquiring into the natural foundations of morality and the possibility that it may have a neural basis underlying its social manifestations. This vivid record of profound disagreement and, at the same time, sincere search for mutual understanding, follows in the tradition of Poincaré, Hadamard, and von Neumann in probing the limits of human experience and intellectual possibility. 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.
Before Tomorrow
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Author : Catherine Malabou
language : en
Publisher: John Wiley & Sons
Release Date : 2016-09-13
Before Tomorrow written by Catherine Malabou and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-13 with Philosophy categories.
Is contemporary continental philosophy making a break with Kant? The structures of knowledge, taken for granted since Kants 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 Kants response to his posterity. True to its subject, the book evolves as an epigenesis the differentiated growth of the embryo 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.
Mathematics And The Aesthetic
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Author : Nathalie Sinclair
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-28
Mathematics And The Aesthetic written by Nathalie Sinclair and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-28 with Mathematics categories.
A majority of the chapters in this book first saw the light of day as talks at a conference organised and held at Queen’s University in Kingston, Ontario, Canada in April 2001. This small, invitational meeting, tellingly entitled Beauty and the Mathematical Beast, brought together a range of academics int- ested in and committed to exploring connections between mathematics and aesthetics. The enthusiastic response of participants at this gathering enco- aged the presenters to expand upon their initial contributions and persuaded the organisers to recruit further chapters in order to bring a greater balance to the whole. The timing of this event was not arbitrary. The preceding decade had seen a resurgence in serious writing dealing with deeper relations between mathematics (and science) and ‘the beautiful’. In many ways, we the editors of this volume found these contributions to the literature were revisiting and drawing on themes that had been prominent over two thousand five h- dred years ago, in certain writings of the Pythagoreans. While not intending to offer a historical reappraisal of these ancient thinkers here, we have none the less chosen to invoke this profound interweaving of the mathematical and the aesthetic to which this reputedly secretive philosophical sect was ext- sively attuned. This book is divided into three sections comprising three chapters each, each with its own short introduction discussing the particular chapters within.
Experiencing Mathematics
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Author : Reuben Hersh
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-12-24
Experiencing Mathematics written by Reuben Hersh and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-24 with Mathematics categories.
Part IV. About the author -- An amusing elementary example -- Annotated research bibliography -- Curriculum vitae -- List of articles -- Index -- Back Cover
Plato S Problem
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Author : M. Panza
language : en
Publisher: Springer
Release Date : 2013-01-21
Plato S Problem written by M. Panza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-21 with Mathematics categories.
What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.
Mathesis Universalis Computability And Proof
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Author : Stefania Centrone
language : en
Publisher: Springer Nature
Release Date : 2019-10-25
Mathesis Universalis Computability And Proof written by Stefania Centrone and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with Philosophy categories.
In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms the mathesis investigates possible relations between “arbitrary objects” (“objets quelconques”). It is an abstract theory of combinations and relations among objects whatsoever. In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitled Contributions to a Better-Grounded Presentation of Mathematics. There is, according to him, a certain objective connection among the truths that are germane to a certain homogeneous field of objects: some truths are the “reasons” (“Gründe”) of others, and the latter are “consequences” (“Folgen”) of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proof is characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory. The contributors of Mathesis Universalis, Computability and Proof, leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionistic logic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.
Dual Aspect Monism And The Deep Structure Of Meaning
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Author : Harald Atmanspacher
language : en
Publisher: Routledge
Release Date : 2022-03-29
Dual Aspect Monism And The Deep Structure Of Meaning written by Harald Atmanspacher and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-29 with Philosophy categories.
Dual-Aspect Monism and the Deep Structure of Meaning investigates the metaphysical position of dual-aspect monism, with particular emphasis on the concept of meaning as a fundamental feature of the fabric of reality. As an alternative to other positions – mainly dualism, physicalism, idealism – that have been proposed to understand consciousness and its place in nature, the decompositional version of dual-aspect monism considers the mental and the physical as two aspects of one underlying undivided reality that is psychophysically neutral. Inspired by analogies with modern physics and driven by its conceptual problems, Wolfgang Pauli, Carl Gustav Jung, Arthur Eddington, John Wheeler, David Bohm, and Basil Hiley are the originators of the approaches studied. A radically novel common theme in their approaches is the constitutive role of meaning and its deep structure, relating the mental and the physical to a psychophysically neutral base.The authors reconstruct the formal structure of these approaches, and compare their conceptual emphases as well as their relative strengths and weaknesses. They also address a number of challenging themes for current and future interdisciplinary research, both theoretical and empirical, that arise from the presented frameworks of thinking. Dual-Aspect Monism and the Deep Structure of Meaning will be of interest to researchers and advanced students working in consciousness studies, philosophy of mind, philosophy of science, philosophy of physics, metaphysics, and the history of 20th-century philosophy and physics.
Nature Strange And Beautiful
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Author : Egbert Giles Leigh, Jr.
language : en
Publisher: Yale University Press
Release Date : 2019-08-20
Nature Strange And Beautiful written by Egbert Giles Leigh, Jr. and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-20 with Science categories.
A beautifully written exploration of how cooperation shaped life on earth, from its single-celled beginnings to complex human societies In this rich, wide-ranging, beautifully illustrated volume, Egbert Leigh explores the results of billions of years of evolution at work. Leigh, who has spent five decades on Panama's Barro Colorado Island reflecting on the organization of various amazingly diverse tropical ecosystems, now shows how selection on "selfish genes" gives rise to complex modes of cooperation and interdependence. With the help of such artists as the celebrated nature photographer Christian Ziegler, natural history illustrator Deborah Miriam Kaspari, and Damond Kyllo, Leigh explains basic concepts of evolutionary biology, ranging from life's single-celled beginnings to the complex societies humans have formed today. The book covers a range of topics, focusing on adaptation, competition, mutualism, heredity, natural selection, sexual selection, genetics, and language. Leigh's reflections on evolution, competition, and cooperation show how the natural world becomes even more beautiful when viewed in the light of evolution.
Philosophy And Methodology Of Information The Study Of Information In The Transdisciplinary Perspective
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Author : Gordana Dodig-crnkovic
language : en
Publisher: World Scientific
Release Date : 2019-04-22
Philosophy And Methodology Of Information The Study Of Information In The Transdisciplinary Perspective written by Gordana Dodig-crnkovic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-22 with Computers categories.
The book gives up-to-date, multi-aspect exposition of the philosophy and methodology of information, and related areas within the nascent field of the study of information. It presents the most recent achievements, ideas and opinions of leading researchers in this domain, as well as from physicists, biologists and social scientists. Collaboration of researchers from different areas and fields opens new perspectives for the understanding of information essential in the innovative development of science, technology and society.The book is meant for readers conducting research into any aspect of information, information society and information technology. The ideas presented give new insights for those who develop or implement scientific, technological or social applications. They are especially for those who are participating in setting the goals for science in general and sciences of information in particular.