The Psychology of Proof

The Psychology of Proof PDF

Author: Lance J. Rips

Publisher: MIT Press

Published: 2003-01-01

Total Pages: 465

ISBN-13: 0262517213

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Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life. In this provocative book, Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life. Rips argues that certain inference principles are so central to our notion of intelligence and rationality that they deserve serious psychological investigation to determine their role in individuals' beliefs and conjectures. Asserting that cognitive scientists should consider deductive reasoning as a basis for thinking, Rips develops a theory of natural reasoning abilities and shows how it predicts mental successes and failures in a range of cognitive tasks. In parts I and II of the book, Rips builds insights from cognitive psychology, logic, and artificial intelligence into a unified theoretical structure. He defends the idea that deduction depends on the ability to construct mental proofs—actual memory units that link given information to conclusions it warrants. From this base Rips develops a computational model of deduction based on two cognitive skills: the ability to make suppositions or assumptions and the ability to posit sub-goals for conclusions. A wide variety of original experiments support this model, including studies of human subjects evaluating logical arguments as well as following and remembering proofs. Unlike previous theories of mental proof, this one handles names and variables in a general way. This capability enables deduction to play a crucial role in other thought processes, such as classifying and problem solving. In part III, Rips compares the theory to earlier approaches in psychology which confined the study of deduction to a small group of tasks, and examines whether the theory is too rational or too irrational in its mode of thought.

The Art Of Logical Thinking Or The Laws Of Reasoning

The Art Of Logical Thinking Or The Laws Of Reasoning PDF

Author: William Walker Atkinson

Publisher: Prabhat Prakashan

Published: 2024-05-29

Total Pages: 110

ISBN-13:

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Enhance your logical thinking skills with "The Art Of Logical Thinking Or The Laws Of Reasoning" by William Walker Atkinson, a comprehensive guide that explores the principles and techniques of effective reasoning and logical analysis. Immerse yourself in Atkinson's teachings as he unveils the art of thinking critically and making sound decisions. As the pages unfold, delve into the art of logical thinking, covering aspects from deductive and inductive reasoning to the laws that govern effective thought processes. William Walker Atkinson provides readers with practical exercises and insights to sharpen their logical thinking skills, offering a valuable resource for anyone seeking to enhance their cognitive abilities. But here's a question that resonates with those aiming to improve their logical thinking: What are the key laws and principles that govern logical reasoning, and how can individuals apply these laws to everyday decision-making and problem-solving? Reflect on the transformative teachings presented by Atkinson, prompting contemplation on the practical applications of logical thinking in various aspects of life. Experience the art of logical thinking with "The Art Of Logical Thinking." Short, instructive paragraphs guide you through Atkinson's principles, encouraging you to embrace the practices that can lead to improved reasoning and more effective decision-making. Are you ready to unlock the art of logical thinking and enhance your cognitive abilities? Join William Walker Atkinson on a logical exploration through the pages of "The Art Of Logical Thinking" and discover the keys to thinking critically and making informed decisions. Open the doors to a world of improved reasoning. Purchase "The Art Of Logical Thinking" now, and let Atkinson's timeless wisdom be your guide on the journey to developing logical thinking skills that can be applied in various aspects of your life. Seize the opportunity to own a piece of cognitive brilliance. Embrace the art of logical thinking with "The Art Of Logical Thinking" and let Atkinson's insights inspire you to approach challenges and decisions with a sharper and more logical mind.

The Nature of Reasoning

The Nature of Reasoning PDF

Author: Jacqueline P. Leighton

Publisher: Cambridge University Press

Published: 2004

Total Pages: 484

ISBN-13: 9780521009287

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We are bombarded with information - press releases, television news, Internet websites, and office memos, just to name a few - on a daily basis. However, the important conclusions that may or need to be inferred from such information are typically not provided. We must draw the conclusions by ourselves. How do we draw these conclusions? This book addresses how we reason to reach sensible conclusions. The purpose of this book is to organize in one volume what is known about reasoning, such as its structural prerequisites, its mechanisms, its susceptibility to pragmatic influences, its pitfalls, and the bases for its development. Given that reasoning underlies so many of our intellectual activities - when we learn, criticize, analyze, judge, infer, evaluate, optimize, apply, discover, imagine, devise, and create - we stand to gain a great deal if we can learn to define, operate, apply, and nurture our reasoning.

Encyclopedia of the Sciences of Learning

Encyclopedia of the Sciences of Learning PDF

Author: Norbert M. Seel

Publisher: Springer Science & Business Media

Published: 2011-10-05

Total Pages: 3643

ISBN-13: 1441914277

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Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences.

Rationality and Reasoning

Rationality and Reasoning PDF

Author: Jonathon St. B.T. Evans

Publisher: Psychology Press

Published: 2013-09-13

Total Pages: 196

ISBN-13: 1135472300

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This book addresses an apparent paradox in the psychology of thinking. On the one hand, human beings are a highly successful species. On the other, intelligent adults are known to exhibit numerous errors and biases in laboratory studies of reasoning and decision making. There has been much debate among both philosophers and psychologists about the implications of such studies for human rationality. The authors argue that this debate is marked by a confusion between two distinct notions: (a) personal rationality (rationality1 Evans and Over argue that people have a high degree of rationality1 but only a limited capacity for rationality2. The book re-interprets the psychological literature on reasoning and decision making, showing that many normative errors, by abstract standards, reflect the operation of processes that would normally help to achieve ordinary goals. Topics discussed include relevance effects in reasoning and decision making, the influence of prior beliefs on thinking, and the argument that apparently non-logical reasoning can reflect efficient decision making. The authors also discuss the problem of deductive competence - whether people have it, and what mechanism can account for it. As the book progresses, increasing emphasis is given to the authors' dual process theory of thinking, in which a distinction between tacit and explicit cognitive systems is developed. It is argued that much of human capacity for rationality1 is invested in tacit cognitive processes, which reflect both innate mechanisms and biologically constrained learning. However, the authors go on to argue that human beings also possess an explicit thinking system, which underlies their unique - if limited - capacity to be rational.

Logical Reasoning

Logical Reasoning PDF

Author: Bradley Harris Dowden

Publisher: Bradley Dowden

Published: 1993

Total Pages: 516

ISBN-13: 9780534176884

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This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.

The Developmental Psychology of Reasoning and Decision-making

The Developmental Psychology of Reasoning and Decision-making PDF

Author: Henry Markovits

Publisher:

Published: 2014

Total Pages: 0

ISBN-13: 9781315856568

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Logical thinking is a critically important cognitive skill. It is not just essential for mathematical and scientific understanding, it is also of prime importance when trying to navigate our complex and increasingly sophisticated world. Written by world class researchers in the field, The Developmental Psychology of Reasoning and Decision-Making describes the ways that children learn to reason, and how reasoning can be used to overcome the influence of beliefs and intuitions. The chapters in this edited collection focus on the new, revolutionary paradigm in reasoning and cover the recent research on the development of reasoning in two important areas: Cognitive abilities required to reason well and how these abilities develop in children and adolescents. Recent empirical data showing the effect intuition and prior belief have on reasoning, even when the outcome is inappropriate. Different theoretical and empirical perspectives from recent Piagetian theory, mental models and gist processing are examined, along with empirical results looking at specific aspects of reasoning in children. The key theme of the book is to better understand how reasoning develops not only through examining 'logical' reasoning, but also the nature of the interactions between people's intuitions and their reasoning abilities. The Developmental Psychology of Reasoning and Decision-Making provides an overview of the main theories and key empirical results related to the development of reasoning and should be of particular interest to students and researchers in developmental psychology and education, along with those in cognitive psychology.

The Psychology of Deductive Reasoning (Psychology Revivals)

The Psychology of Deductive Reasoning (Psychology Revivals) PDF

Author: Jonathan St. B. T. Evans

Publisher: Psychology Press

Published: 2013-12-19

Total Pages: 271

ISBN-13: 1317820452

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Originally published in 1982, this was an extensive and up-to-date review of research into the psychology of deductive reasoning, Jonathan Evans presents an alternative theoretical framework to the rationalist approach which had dominated much of the published work in this field at the time. The review falls into three sections. The first is concerned with elementary reasoning tasks, in which response latency is the prime measure of interest. The second and third sections are concerned with syllogistic and propositional reasoning respectively, in which interest has focused on the explanation of frequently observed logical errors. In an extended discussion it is argued that reasoning processes are content specific, and give little indication of the operation of any underlying system of logical competence. Finally, a dual process theory of reasoning, with broad implications and connections with other fields of psychology, is elaborated and assessed in the light of recent evidence.

The Art of Logical Thinking; Or, The Laws of Reasoning

The Art of Logical Thinking; Or, The Laws of Reasoning PDF

Author: William Walker Atkinson

Publisher: DigiCat

Published: 2022-06-02

Total Pages: 101

ISBN-13:

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"The Art of Logical Thinking Or The Laws of Reasoning" is a book about the control of thinking. It will help you raise your conscious awareness of who you really are. It is perfect for people who believe that changing thinking will change lives and that we can control our thoughts and, by doing so, improve our overall circumstances.