Dsm Models And Non Archimedean Reasoning
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Author | : Andrew Schumann |
Publisher | : Infinite Study |
Total Pages | : 23 |
Release | : |
Genre | : |
ISBN | : |
The Dezert-Smarandache theory of plausible and paradoxical reasoning is based on the premise that some elements θi of a frame Θ have a non-empty intersection.
Author | : Andrew Schumann |
Publisher | : Infinite Study |
Total Pages | : 23 |
Release | : |
Genre | : Mathematics |
ISBN | : |
We present a general way that allows to construct systematically analytic calculi for a large family of non-Archimedean many-valued logics: hyperrational-valued, hyperreal-valued, and p-adic valued logics characterized by a special format of semantics with an appropriate rejection of Archimedes' axiom.
Author | : Andrew Schumann |
Publisher | : Springer |
Total Pages | : 477 |
Release | : 2018-05-25 |
Genre | : Technology & Engineering |
ISBN | : 3319915428 |
This book presents fundamental theoretical results for designing object-oriented programming languages for controlling swarms. It studies the logics of swarm behaviours. According to behaviourism, all behaviours can be controlled or even managed by stimuli in the environment: attractants (motivational reinforcement) and repellents (motivational punishment). At the same time, there are two main stages in reactions to stimuli: sensing (perceiving signals) and motoring (appropriate direct reactions to signals). This book examines the strict limits of behaviourism from the point of view of symbolic logic and algebraic mathematics: how far can animal behaviours be controlled by the topology of stimuli? On the one hand, we can try to design reversible logic gates in which the number of inputs is the same as the number of outputs. In this case, the behaviouristic stimuli are inputs in swarm computing and appropriate reactions at the motoring stage are its outputs. On the other hand, the problem is that even at the sensing stage each unicellular organism can be regarded as a logic gate in which the number of outputs (means of perceiving signals) greatly exceeds the number of inputs (signals).
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 461 |
Release | : 2006-01-01 |
Genre | : Computers |
ISBN | : 1599730006 |
This second volume dedicated to Dezert-Smarandache Theory (DSmT) in Information Fusion brings in new fusion quantitative rules (such as the PCR1-6, where PCR5 for two sources does the most mathematically exact redistribution of conflicting masses to the non-empty sets in the fusion literature), qualitative fusion rules, and the Belief Conditioning Rule (BCR) which is different from the classical conditioning rule used by the fusion community working with the Mathematical Theory of Evidence. Other fusion rules are constructed based on T-norm and T-conorm (hence using fuzzy logic and fuzzy set in information fusion), or more general fusion rules based on N-norm and N-conorm (hence using neutrosophic logic and neutrosophic set in information fusion), and an attempt to unify the fusion rules and fusion theories. The known fusion rules are extended from the power set to the hyper-power set and comparison between rules are made on many examples. One defines the degree of intersection of two sets, degree of union of two sets, and degree of inclusion of two sets which all help in improving the all existing fusion rules as well as the credibility, plausibility, and communality functions. The book chapters are written by Frederic Dambreville, Milan Daniel, Jean Dezert, Pascal Djiknavorian, Dominic Grenier, Xinhan Huang, Pavlina Dimitrova Konstantinova, Xinde Li, Arnaud Martin, Christophe Osswald, Andrew Schumann, Tzvetan Atanasov Semerdjiev, Florentin Smarandache, Albena Tchamova, and Min Wang.
Author | : Andrew Schumann |
Publisher | : Infinite Study |
Total Pages | : 123 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 159973026X |
In this book, we consider various many-valued logics: standard, linear, hyperbolic, parabolic, non-Archimedean, p-adic, interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert's style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen's style sequents that was introduced independently by Avron and Pottinger. In particular, we consider Hilbert's style, sequent, and hypersequent calculi for infinite-valued logics based on the three fundamental continuous t-norms: Lukasiewicz's, Godel?s, and Product logics. We present a general way that allows to construct systematically analytic calculi for a large family of non-Archimedean many-valued logics: hyperrational-valued, hyperreal-valued, and p-adic valued logics characterized by a special format of semantics with an appropriate rejection of Archimedes' axiom. These logics are built as different extensions of standard many-valued logics (namely, Lukasiewicz's, Godel?s, Product, and Post's logics). The informal sense of Archimedes' axiom is that anything can be measured by a ruler. Also logical multiple-validity without Archimedes' axiom consists in that the set of truth values is infinite and it is not well-founded and well-ordered. We consider two cases of non-Archimedean multi-valued logics: the first with many-validity in the interval [0,1] of hypernumbers and the second with many-validity in the ring of p-adic integers. Notice that in the second case we set discrete infinite-valued logics. Logics investigated: 1. hyperrational valued Lukasiewicz's, Godel?s, and Product logics, 2. hyperreal valued Lukasiewicz's, Godel?s, and Product logics, 3. p-adic valued Lukasiewicz's, Godel?s, and Post's logics.
Author | : Luigi Accardi |
Publisher | : American Institute of Physics |
Total Pages | : 408 |
Release | : 2009-04-03 |
Genre | : Computers |
ISBN | : |
This conference was devoted to fundamental questions raised by quantum mechanics, especially in quantum information theory. As has become customary in our series of conference in Växjö, we were glad to welcome a fruitful assembly of theoretical physicists, experimentalists, mathematicians and even philosophers interested in the foundations of probability and physics. This conference belongs to the series of Växjö conferences in foundations of quantum mechanics (especially probabilistic foundations) combined of two subseries, Foundations of Probability and Physics: 2000, 02, 04, 06, 08, and Quantum Theory: Reconsideration of Foundations: 2001, 03, 05, 07. We also mention the first Växjö conference: Bohmian mechanics 2000. This is definitely the longest series of conferences on foundations in the history of quantum mechanics.
Author | : Allen Frances, M.D. |
Publisher | : Harper Collins |
Total Pages | : 352 |
Release | : 2013-05-14 |
Genre | : Psychology |
ISBN | : 0062229273 |
From "the most powerful psychiatrist in America" (New York Times) and "the man who wrote the book on mental illness" (Wired), a deeply fascinating and urgently important critique of the widespread medicalization of normality Anyone living a full, rich life experiences ups and downs, stresses, disappointments, sorrows, and setbacks. These challenges are a normal part of being human, and they should not be treated as psychiatric disease. However, today millions of people who are really no more than "worried well" are being diagnosed as having a mental disorder and are receiving unnecessary treatment. In Saving Normal, Allen Frances, one of the world's most influential psychiatrists, warns that mislabeling everyday problems as mental illness has shocking implications for individuals and society: stigmatizing a healthy person as mentally ill leads to unnecessary, harmful medications, the narrowing of horizons, misallocation of medical resources, and draining of the budgets of families and the nation. We also shift responsibility for our mental well-being away from our own naturally resilient and self-healing brains, which have kept us sane for hundreds of thousands of years, and into the hands of "Big Pharma," who are reaping multi-billion-dollar profits. Frances cautions that the new edition of the "bible of psychiatry," the Diagnostic and Statistical Manual of Mental Disorders-5 (DSM-5), will turn our current diagnostic inflation into hyperinflation by converting millions of "normal" people into "mental patients." Alarmingly, in DSM-5, normal grief will become "Major Depressive Disorder"; the forgetting seen in old age is "Mild Neurocognitive Disorder"; temper tantrums are "Disruptive Mood Dysregulation Disorder"; worrying about a medical illness is "Somatic Symptom Disorder"; gluttony is "Binge Eating Disorder"; and most of us will qualify for adult "Attention Deficit Disorder." What's more, all of these newly invented conditions will worsen the cruel paradox of the mental health industry: those who desperately need psychiatric help are left shamefully neglected, while the "worried well" are given the bulk of the treatment, often at their own detriment. Masterfully charting the history of psychiatric fads throughout history, Frances argues that whenever we arbitrarily label another aspect of the human condition a "disease," we further chip away at our human adaptability and diversity, dulling the full palette of what is normal and losing something fundamental of ourselves in the process. Saving Normal is a call to all of us to reclaim the full measure of our humanity.
Author | : Kenneth S. Kendler |
Publisher | : Oxford University Press |
Total Pages | : 439 |
Release | : 2017-04-06 |
Genre | : Medical |
ISBN | : 0192515535 |
The revisions of both DSM-IV and ICD-10 have again focused the interest of the field of psychiatry and clinical psychology on the issue of nosology. This interest has been further heightened by a series of controversies associated with the development of DSM-5 including the fate of proposed revisions of the personality disorders, bereavement, and the autism spectrum. Major debate arose within the DSM process about the criteria for changing criteria, leading to the creation of first the Scientific Review Committee and then a series of other oversight committees which weighed in on the final debates on the most controversial proposed additions to DSM-5, providing important influences on the final decisions. Contained within these debates were a range of conceptual and philosophical issues. Some of these - such as the definition of mental disorder or the problems of psychiatric “epidemics” - have been with the field for a long time. Others - the concept of epistemic iteration as a framework for the introduction of nosologic change - are quite new. This book reviews issues within psychiatric nosology from clinical, historical and particularly philosophical perspectives. The book brings together a range of distinguished authors - including major psychiatric researchers, clinicians, historians and especially nosologists - including several leaders of the DSM-5 effort and the DSM Steering Committee. It also includes contributions from psychologists with a special interest in psychiatric nosology and philosophers with a wide range of orientations. The book is organized into four major sections: The first explores the nature of psychiatric illness and the way in which it is defined, including clinical and psychometric perspectives. The second section examines problems in the reification of psychiatric diagnostic criteria, the problem of psychiatric epidemics, and the nature and definition of individual symptoms. The third section explores the concept of epistemic iteration as a possible governing conceptual framework for the revision efforts for official psychiatric nosologies such as DSM and ICD and the problems of validation of psychiatric diagnoses. The book ends by exploring how we might move from the descriptive to the etiologic in psychiatric diagnoses, the nature of progress in psychiatric research, and the possible benefits of moving to a living document (or continuous improvement) model for psychiatric nosologic systems. The result is a book that captures the dynamic cross-disciplinary interactions that characterize the best work in the philosophy of psychiatry.
Author | : Sacha Bem |
Publisher | : SAGE |
Total Pages | : 504 |
Release | : 2013-05-22 |
Genre | : Psychology |
ISBN | : 144629210X |
Bem and de Jong present complex ideas in an accessible manner. Theoretical Issues in Psychology gives undergraduate psychology students all the resources they need to begin reflecting on the most pressing conceptual issues in their discipline. - Stuart Wilson, Queen Margaret University The 3rd edition of Theoretical Issues in Psychology provides an authoritative overview of the conceptual issues in psychology which introduces the underlying philosophies that underpin them. It includes new insights across the philosophy of science combined with increased psychological coverage to show clearly how these two communities interrelate, ensuring an integrative understanding of the fundamental debates and how they link to your wider studies. Key features of this new edition include: Concise paragraphs, multiple examples and additional summaries throughout to help you focus on key areas of knowledge. Textboxes with definitions and key concepts to help your understanding of the main debates and ideas. New content on the philosophy of mind, philosophy of science, cognition and cognitive neuroscience. New up-to-date material on consciousness and evolutionary psychology. For lecturers and teachers, PowerPoint slides are available for each chapter. Sacha Bem & Huib Looren de Jong′s textbook remains essential for students taking courses in conceptual and historical issues in psychology, the philosophy of psychology or theoretical psychology.
Author | : Steven James Bartlett |
Publisher | : Studies in Theory and Behavior |
Total Pages | : 886 |
Release | : 2021-09-01 |
Genre | : Philosophy |
ISBN | : 0578886464 |
The Critique of Impure Reason: Horizons of Possibility and Meaning comprises a major and important contribution to philosophy. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the massive work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. In Kant’s Critique of Pure Reason we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new Critique focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ conflict with the very preconditions of meaning and of knowledge. This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. The Critique of Impure Reason proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of possible meaning are determined. Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, metalogical projection. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. Based on original research and rigorous analysis combined with extensive scholarship, the Critique of Impure Reason develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. CONTENTS AT A GLANCE Preface Foreword by Carl Friedrich von Weizsäcker Acknowledgments Avant-propos: A philosopher’s rallying call Introduction A note to the reader A note on conventions PART I WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN 1 Philosophical-psychological prelude 2 Putting belief in its place: Its psychology and a needed polemic 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference 4 The stepladder to maximum theoretical generality PART II THE METALOGIC OF REFERENCE A New Approach to Deductive, Transcendental Philosophy 5 Reference, identity, and identification 6 Self-referential argument and the metalogic of reference 7 Possibility theory 8 Presupposition logic, reference, and identification 9 Transcendental argumentation and the metalogic of reference 10 Framework relativity 11 The metalogic of meaning 12 The problem of putative meaning and the logic of meaninglessness 13 Projection 14 Horizons 15 De-projection 16 Self-validation 17 Rationality: Rules of admissibility PART III PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE Major Problems and Questions of Philosophy and the Philosophy of Science 18 Ontology and the metalogic of reference 19 Discovery or invention in general problem-solving, mathematics, and physics 20 The conceptually unreachable: “The far side” 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism 22 The projections of time, space, and space-time 23 The projections of causality, determinism, and free will 24 Projections of the self and of solipsism 25 Non-relational, agentless reference and referential fields 26 Relativity physics as seen through the lens of the metalogic of reference 27 Quantum theory as seen through the lens of the metalogic of reference 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory PART IV HORIZONS 29 Beyond belief 30 Critique of Impure Reason: Its results in retrospect SUPPLEMENT The Formal Structure of the Metalogic of Reference APPENDIX I: The Concept of Horizon in the Work of Other Philosophers APPENDIX II: Epistemological Intelligence References Index About the author