Quantum Mechanics, Mathematics, Cognition and Action

Quantum Mechanics, Mathematics, Cognition and Action PDF Author: Mioara Mugur-Schächter
Publisher: Springer Science & Business Media
ISBN: 0306481448
Category : Science
Languages : en
Pages : 502

Get Book Here

Book Description
And starting from there, it can induce an explicit understanding of certain fundamental features of the new scientific thinking. A formalized epistemology should not be mistaken for a crossdisciplinary or a multidisciplinary project. The latter projects are designed to offer to nonspecialists access to information, to results obtained inside specialized disciplines, as well as a certain understanding of these results; whereas a formalized epistemology should equip anyone with a framework for conceptualizing himself in whatever domain and direction he or she might choose. A formalized epistemology should not be mistaken either for an approach belonging to the modern cognitive sciences

Quantum Mechanics, Mathematics, Cognition and Action

Quantum Mechanics, Mathematics, Cognition and Action PDF Author: Mioara Mugur-Schächter
Publisher: Springer Science & Business Media
ISBN: 0306481448
Category : Science
Languages : en
Pages : 502

Get Book Here

Book Description
And starting from there, it can induce an explicit understanding of certain fundamental features of the new scientific thinking. A formalized epistemology should not be mistaken for a crossdisciplinary or a multidisciplinary project. The latter projects are designed to offer to nonspecialists access to information, to results obtained inside specialized disciplines, as well as a certain understanding of these results; whereas a formalized epistemology should equip anyone with a framework for conceptualizing himself in whatever domain and direction he or she might choose. A formalized epistemology should not be mistaken either for an approach belonging to the modern cognitive sciences

Quantum Models of Cognition and Decision

Quantum Models of Cognition and Decision PDF Author: Jerome R. Busemeyer
Publisher: Cambridge University Press
ISBN: 1139536486
Category : Psychology
Languages : en
Pages : 425

Get Book Here

Book Description
Much of our understanding of human thinking is based on probabilistic models. This innovative book by Jerome R. Busemeyer and Peter D. Bruza argues that, actually, the underlying mathematical structures from quantum theory provide a much better account of human thinking than traditional models. They introduce the foundations for modeling probabilistic-dynamic systems using two aspects of quantum theory. The first, 'contextuality', is a way to understand interference effects found with inferences and decisions under conditions of uncertainty. The second, 'quantum entanglement', allows cognitive phenomena to be modeled in non-reductionist ways. Employing these principles drawn from quantum theory allows us to view human cognition and decision in a totally new light. Introducing the basic principles in an easy-to-follow way, this book does not assume a physics background or a quantum brain and comes complete with a tutorial and fully worked-out applications in important areas of cognition and decision.

New Physics

New Physics PDF Author: Claus Birkholz
Publisher: BookRix
ISBN: 3730963538
Category : Science
Languages : en
Pages : 121

Get Book Here

Book Description
The "Standard Models" out of date and inconsistent, and string/brane models still "beyond" them - long since they reached their ends. A New Physics must come. Marrying Planck's quantum theory with Einstein's General Relativity, the author is presenting a consistent Quantum Gravity. Its extension to a "Grand Unification" of all forces of nature emerges as a quantum field theory in a fully quantized, "background-independent", bent space-time. Dark Energy, Dark Matter, hadron and lepton flavours, the details of Einstein's cosmological constant, and much more is dropping out by the way. The quark confinement, the physics before the Big Bang, and a lot of old problems of fundamental physics are dissolving to nothing, explaining themselves as self-evident properties of nature. Future starts to-day. Come along on the journey! Main target groups: Students, physicists, mathematicians, but also people interested in philosophy or with an inclination to leave the beaten dead-end tracks of actual fundamental theories of the old style in favour of more promising, novel ways out.

Decision Making and Modelling in Cognitive Science

Decision Making and Modelling in Cognitive Science PDF Author: Sisir Roy
Publisher: Springer
ISBN: 813223622X
Category : Psychology
Languages : en
Pages : 174

Get Book Here

Book Description
This book discusses the paradigm of quantum ontology as an appropriate model for measuring cognitive processes. It clearly shows the inadequacy of the application of classical probability theory in modelling the human cognitive domain. The chapters investigate the context dependence and neuronal basis of cognition in a coherent manner. According to this framework, epistemological issues related to decision making and state of mind are seen to be similar to issues related to equanimity and neutral mind, as discussed in Buddhist perspective. The author states that quantum ontology as a modelling tool will help scientists create new methodologies of modelling in other streams of science as well.

Quantum Models of Cognition and Decision

Quantum Models of Cognition and Decision PDF Author: Jerome R. Busemeyer
Publisher: Cambridge University Press
ISBN: 9781009205313
Category : Psychology
Languages : en
Pages : 0

Get Book Here

Book Description


Contextuality From Quantum Physics To Psychology

Contextuality From Quantum Physics To Psychology PDF Author: Ehtibar N Dzhafarov
Publisher: World Scientific
ISBN: 9814730629
Category : Science
Languages : en
Pages : 479

Get Book Here

Book Description
The book explores the variety of meanings of contextuality across different disciplines, with the emphasis on quantum physics and on psychology.

Reclaiming Cognition

Reclaiming Cognition PDF Author: Rafael E. Núñez
Publisher: Imprint Academic
ISBN: 9780907845065
Category : Brain
Languages : en
Pages : 310

Get Book Here

Book Description
Traditional cognitive science is Cartesian in the sense that it takes as fundamental the distinction between the mental and the physical, the mind and the world. This leads to the claim that cognition is representational and best explained using models derived from AI and computational theory. The authors depart radically from this model.

Mathematical Foundation of Quantum Mechanics

Mathematical Foundation of Quantum Mechanics PDF Author: K.R. Parthasarathy
Publisher: Springer
ISBN: 9386279282
Category : Mathematics
Languages : en
Pages : 175

Get Book Here

Book Description
This is a brief introduction to the mathematical foundations of quantum mechanics based on lectures given by the author to Ph.D.students at the Delhi Centre of the Indian Statistical Institute in order to initiate active research in the emerging field of quantum probability. The material in the first chapter is included in the author's book "An Introduction to Quantum Stochastic Calculus" published by Birkhauser Verlag in 1992 and the permission of the publishers to reprint it here is acknowledged. Apart from quantum probability, an understanding of the role of group representations in the development of quantum mechanics is always a fascinating theme for mathematicians. The first chapter deals with the definitions of states, observables and automorphisms of a quantum system through Gleason's theorem, Hahn-Hellinger theorem and Wigner's theorem. Mackey's imprimitivity theorem and the theorem of inducing representations of groups in stages are proved directly for projective unitary antiunitary representations in the second chapter. Based on a discussion of multipliers on locally compact groups in the third chapter all the well-known observables of classical quantum theory like linear momenta, orbital and spin angular momenta, kinetic and potential energies, gauge operators etc., are derived solely from Galilean covariance in the last chapter. A very short account of observables concerning a relativistic free particle is included. In conclusion, the spectral theory of Schrodinger operators of one and two electron atoms is discussed in some detail.

Causality, Meaningful Complexity and Embodied Cognition

Causality, Meaningful Complexity and Embodied Cognition PDF Author: A. Carsetti
Publisher: Springer Science & Business Media
ISBN: 904813529X
Category : Philosophy
Languages : en
Pages : 346

Get Book Here

Book Description
Arturo Carsetti According to molecular Biology, true invariance (life) can exist only within the framework of ongoing autonomous morphogenesis and vice versa. With respect to this secret dialectics, life and cognition appear as indissolubly interlinked. In this sense, for instance, the inner articulation of conceptual spaces appears to be linked to an inner functional development based on a continuous activity of selection and “anchorage” realised on semantic grounds. It is the work of “invention” and g- eration (in invariance), linked with the “rooting” of meaning, which determines the evolution, the leaps and punctuated equilibria, the conditions related to the unfo- ing of new modalities of invariance, an invariance which is never simple repetition and which springs on each occasion through deep-level processes of renewal and recovery. The selection perpetrated by meaning reveals its autonomy aboveall in its underpinning, in an objective way, the ongoing choice of these new modalities. As such it is not, then, concerned only with the game of “possibles”, offering itself as a simple channel for pure chance, but with providing a channel for the articulation of the “ le” in the humus of a semantic (and embodied) net in order to prepare the necessary conditionsfor a continuousrenewal and recoveryof original creativity. In effect, it is this autonomy in inventing new possible modules of incompressibility whichdeterminestheactualemergenceofnew(andtrue)creativity,whichalsotakes place through the “narration” of the effected construction.

New Trends In Geometry: Their Role In The Natural And Life Sciences

New Trends In Geometry: Their Role In The Natural And Life Sciences PDF Author: Luciano Boi
Publisher: World Scientific
ISBN: 1908977884
Category : Mathematics
Languages : en
Pages : 329

Get Book Here

Book Description
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.