Download or read book Rationality and Operators written by Susumu Cato and published by Springer. This book was released on 2016-08-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the set of alternatives. Traditionally, an individual/social preference is assumed to satisfy completeness and transitivity. However, each of the two conditions is often considered to be too demanding; and then, weaker rationality conditions are introduced by researchers. This book argues that the preference rationality conditions can be captured mathematically by “operators,” which are mappings from the set of operators to itself. This operational approach nests traditional concepts in individual/social decision theory and clarifies the underlying formal structure of preference rationality. The author also applies his approach to welfare economics. The core problem of ‘new welfare economics,’ developed by Kaldor, Hicks, and Samuelson, is the rationality of social preference. In this book the author translates the social criteria proposed by those three economists into operational forms, which provide new insights into welfare economics extending beyond ‘new welfare economics.’
Download or read book Rationality and Operators written by Susumu Cato and published by Springer. This book was released on 2016-08-16 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book develops an operational approach to preference and rationality as the author employs operators over binary relations to capture the concept of rationality. A preference is a basis of individual behavior and social judgment and is mathematically regarded as a binary relation on the set of alternatives. Traditionally, an individual/social preference is assumed to satisfy completeness and transitivity. However, each of the two conditions is often considered to be too demanding; and then, weaker rationality conditions are introduced by researchers. This book argues that the preference rationality conditions can be captured mathematically by “operators,” which are mappings from the set of operators to itself. This operational approach nests traditional concepts in individual/social decision theory and clarifies the underlying formal structure of preference rationality. The author also applies his approach to welfare economics. The core problem of ‘new welfare economics,’ developed by Kaldor, Hicks, and Samuelson, is the rationality of social preference. In this book the author translates the social criteria proposed by those three economists into operational forms, which provide new insights into welfare economics extending beyond ‘new welfare economics.’
Download or read book Rings of Differential Operators written by Jan-Erik Björk and published by North-Holland. This book was released on 1979 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rationality and Power written by Bent Flyvbjerg and published by University of Chicago Press. This book was released on 1998-02-28 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Enlightenment tradition, rationality is considered well-defined. However, the author of this study argues that rationality is context-dependent, and that the crucial context is determined by decision-makers' political power. He uses a real-world Danish project to illustrate this theory.
Download or read book Figuring Out Fluency Operations With Rational Numbers and Algebraic Equations written by Jennifer M. Bay-Williams and published by Corwin Press. This book was released on 2022-07-25 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is awesome! What stood out to me was the deep understanding I was able to have about what fluency actually means. Too often the message has been fluency and accuracy, especially at the middle school level. By providing teachers with tools for building fluency with integers, expressions, and algebra, this book shifts that message to also focus on flexibility and strategy selection." Lindsey Henderson Secondary Mathematics Specialist, Utah State Board of Education Salt Lake City, UT Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency—Operations With Rational Numbers and Algebraic Equations. With this book, teachers can Dive deeper into the Significant Strategies for fluency explained in the anchor book as they apply to rational number operations Explore how these strategies can be applied for proportional reasoning, solving equations for unknowns, and solving systems of linear equations Access over 100 classroom-ready activities, including worked examples, routines, and games. Find activities to explicitly teach students how to use and choose strategies to operate on rational numbers and solve algebraic equations Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
Download or read book Analytic Continuation and Rationality of Euler Factors in Integral Representations of L functions for Classical Groups written by Jeremy Case and published by . This book was released on 1995 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rationality and the Reflective Mind written by Keith Stanovich and published by Oxford University Press. This book was released on 2010-11-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In Rationality and the Reflective Mind, Keith Stanovich attempts to resolve the Great Rationality Debate in cognitive science--the debate about how much irrationality to ascribe to human cognition. He shows how the insights of dual-process theory and evolutionary psychology can be combined to explain why humans are sometimes irrational even though they possess remarkably adaptive cognitive machinery. Stanovich argues that to fully characterize differences in rational thinking, we need to replace dual-process theories with tripartite models of cognition. Using a unique individual differences approach, he shows that the traditional second system (System 2) of dual-process theory must be further divided into the reflective mind and the algorithmic mind. Distinguishing them will allow us to better appreciate the significant differences in their key functions: The key function of the reflective mind is to detect the need to interrupt autonomous processing and to begin simulation activities, whereas that of the algorithmic mind is to sustain the processing of decoupled secondary representations in cognitive simulation. Stanovich then uses this algorithmic/reflective distinction to develop a taxonomy of cognitive errors made on tasks in the heuristics and biases literature. He presents the empirical data to show that the tendency to make these thinking errors is not highly related to intelligence. Using his tripartite model of cognition, Stanovich shows how, when both are properly defined, rationality is a more encompassing construct than intelligence, and that IQ tests fail to assess individual differences in rational thought. He then goes on to discuss the types of thinking processes that would be measured if rational thinking were to be assessed as IQ has been.
Download or read book Business Perspectives written by and published by . This book was released on 1968 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integral Operators with Rational Kernels written by Mahmud Abbas Abbas and published by . This book was released on 1997 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Handbook of Rationality written by Markus Knauff and published by MIT Press. This book was released on 2021-12-14 with total page 879 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first reference on rationality that integrates accounts from psychology and philosophy, covering descriptive and normative theories from both disciplines. Both analytic philosophy and cognitive psychology have made dramatic advances in understanding rationality, but there has been little interaction between the disciplines. This volume offers the first integrated overview of the state of the art in the psychology and philosophy of rationality. Written by leading experts from both disciplines, The Handbook of Rationality covers the main normative and descriptive theories of rationality—how people ought to think, how they actually think, and why we often deviate from what we can call rational. It also offers insights from other fields such as artificial intelligence, economics, the social sciences, and cognitive neuroscience. The Handbook proposes a novel classification system for researchers in human rationality, and it creates new connections between rationality research in philosophy, psychology, and other disciplines. Following the basic distinction between theoretical and practical rationality, the book first considers the theoretical side, including normative and descriptive theories of logical, probabilistic, causal, and defeasible reasoning. It then turns to the practical side, discussing topics such as decision making, bounded rationality, game theory, deontic and legal reasoning, and the relation between rationality and morality. Finally, it covers topics that arise in both theoretical and practical rationality, including visual and spatial thinking, scientific rationality, how children learn to reason rationally, and the connection between intelligence and rationality.
Download or read book The Theory of Subnormal Operators written by John B. Conway and published by American Mathematical Soc.. This book was released on 1991 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In a certain sense, subnormal operators were introduced too soon because the theory of function algebras and rational approximation was also in its infancy and could not be properly used to examine the class of operators. The progress in the last several years grew out of applying the results of rational approximation." from the Preface. This book is the successor to the author's 1981 book on the same subject. In addition to reflecting the great strides in the development of subnormal operator theory since the first book, the present work is oriented towards rational functions rather than polynomials. Although the book is a research monograph, it has many of the traits of a textbook including exercises. The book requires background in function theory and functional analysis, but is otherwise fairly self-contained. The first few chapters cover the basics about subnormal operator theory and present a study of analytic functions on the unit disk. Other topics included are: some results on hypernormal operators, an exposition of rational approximation interspersed with applications to operator theory, a study of weak-star rational approximation, a set of results that can be termed structure theorems for subnormal operators, and a proof that analytic bounded point evaluations exist.
Download or read book Cognitive Unconscious and Human Rationality written by Laura Macchi and published by MIT Press. This book was released on 2016-03-18 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining the role of implicit, unconscious thinking on reasoning, decision making, problem solving, creativity, and its neurocognitive basis, for a genuinely psychological conception of rationality. This volume contributes to a current debate within the psychology of thought that has wide implications for our ideas about creativity, decision making, and economic behavior. The essays focus on the role of implicit, unconscious thinking in creativity and problem solving, the interaction of intuition and analytic thinking, and the relationship between communicative heuristics and thought. The analyses move beyond the conventional conception of mind informed by extra-psychological theoretical models toward a genuinely psychological conception of rationality—a rationality no longer limited to conscious, explicit thought, but able to exploit the intentional implicit level. The contributors consider a new conception of human rationality that must cope with the uncertainty of the real world; the implications of abandoning the normative model of classic logic and adopting a probabilistic approach instead; the argumentative and linguistic aspects of reasoning; and the role of implicit thought in reasoning, creativity, and its neurological base. Contributors Maria Bagassi, Linden J. Ball, Jean Baratgin, Aron K. Barbey, Tilmann Betsch, Eric Billaut, Jean-François Bonnefon, Pierre Bonnier, Shira Elqayam, Keith Frankish, Gerd Gigerenzer, Ken Gilhooly, Denis Hilton, Anna Lang, Stefanie Lindow, Laura Macchi, Hugo Mercier, Giuseppe Mosconi, Ian R. Newman, Mike Oaksford, David Over, Guy Politzer, Johannes Ritter, Steven A. Sloman, Edward J. N. Stupple, Ron Sun, Nicole H. Therriault, Valerie A. Thompson, Emmanuel Trouche-Raymond, Riccardo Viale
Download or read book New Issues in Epistemological Disjunctivism written by Casey Doyle and published by Routledge. This book was released on 2019-04-29 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume dedicated solely to the topic of epistemological disjunctivism. The original essays in this volume, written by leading and up-and-coming scholars on the topic, are divided into three thematic sections. The first set of chapters addresses the historical background of epistemological disjunctivism. It features essays on ancient epistemology, Immanuel Kant, J.L. Austin, Edmund Husserl, and Ludwig Wittgenstein. The second section tackles a number contemporary issues related to epistemological disjunctivism, including its relationship with perceptual disjunctivism, radical skepticism, and reasons for belief. Finally, the third group of essays extends the framework of epistemological disjunctivism to other forms of knowledge, such as testimonial knowledge, knowledge of other minds, and self-knowledge. Epistemological Disjunctivism is a timely collection that engages with an increasingly important topic in philosophy. It will appeal to researches and graduate students working in epistemology, philosophy of mind, and philosophy of perception.
Download or read book Topology Geometry Integrable Systems and Mathematical Physics written by V. M. Buchstaber and published by American Mathematical Soc.. This book was released on 2014-11-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this collection are devoted to modern problems of topology, geometry, mathematical physics, and integrable systems, and they are based on talks given at the famous Novikov's seminar at the Steklov Institute of Mathematics in Moscow in 2012-2014. The articles cover many aspects of seemingly unrelated areas of modern mathematics and mathematical physics; they reflect the main scientific interests of the organizer of the seminar, Sergey Petrovich Novikov. The volume is suitable for graduate students and researchers interested in the corresponding areas of mathematics and physics.
Download or read book Rational Typewriting written by Ida McLenan Cutler and published by . This book was released on 1915 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rules and Reasoning written by Christoph Benzmüller and published by Springer. This book was released on 2018-08-23 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Joint Conference on Rules and Reasoning, RuleML+RR 2018, held in Luxembourg during September 2018. This is the second conference of a new series, joining the efforts of two existing conference series, namely “RuleML” (International Web Rule Symposium) and “RR” (Web Reasoning and Rule Systems). The 10 full research papers presented together with 5 long technical communications and 7 short papers were carefully reviewed and selected from 33 submissions.
Download or read book The Consistent Preferences Approach to Deductive Reasoning in Games written by Geir B. Asheim and published by Springer Science & Business Media. This book was released on 2010-07-07 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade I have explored the consequences of what I have chosen to call the 'consistent preferences' approach to deductive reasoning in games. To a great extent this work has been done in coop eration with my co-authors Martin Dufwenberg, Andres Perea, and Ylva Sovik, and it has lead to a series of journal articles. This book presents the results of this research program. Since the present format permits a more extensive motivation for and presentation of the analysis, it is my hope that the content will be of interest to a wider audience than the corresponding journal articles can reach. In addition to active researcher in the field, it is intended for graduate students and others that wish to study epistemic conditions for equilibrium and rationalizability concepts in game theory. Structure of the book This book consists of twelve chapters. The main interactions between the chapters are illustrated in Table 0.1. As Table 0.1 indicates, the chapters can be organized into four dif ferent parts. Chapters 1 and 2 motivate the subsequent analysis by introducing the 'consistent preferences' approach, and by presenting ex amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters. Chapters 5, 6, 10, and 11 analyze games in the strategic form, while the remaining chapters-Chapters 7, 8, 9, and 12-are concerned with games in the extensive form.
