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Author: David Sanford
Publisher: Routledge
ISBN: 1135199302
Category : Philosophy
Languages : en
Pages : 312
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Book Description
This new edition includes three new chapters, updating the book to take into account developments in the field over the past fifteen years.
Author: David Sanford
Publisher: Routledge
ISBN: 1135199302
Category : Philosophy
Languages : en
Pages : 312
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Book Description
This new edition includes three new chapters, updating the book to take into account developments in the field over the past fifteen years.
Author: Lance J. Rips
Publisher: MIT Press
ISBN: 0262517213
Category : Psychology
Languages : en
Pages : 465
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Book Description
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.
Author: Jan von Plato
Publisher: Cambridge University Press
ISBN: 1139867768
Category : Mathematics
Languages : en
Pages : 275
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Book Description
Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
Author: Daniel P. Friedman
Publisher: MIT Press
ISBN: 0262536439
Category : Computers
Languages : en
Pages : 418
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Book Description
An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. The Little Typer explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of The Little Schemer. The first five chapters of The Little Typer provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming—pairs, lists, functions, and recursion—can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.
Author: Bruce McKeown
Publisher: SAGE Publications
ISBN: 148332284X
Category : Psychology
Languages : en
Pages : 121
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Book Description
Direct, well-organized, and easy to follow, Q Methodology, Second Edition, by Bruce McKeown and Dan B. Thomas, reviews the philosophical foundations of subjective communicability (concourse theory), operant subjectivity, and quantum-theoretical aspects of Q as relevant to the social and behavioral sciences. The authors discuss data-gathering techniques (communication concourses, Q samples, and Q sorting), statistical techniques (correlation and factor analysis and the important calculation of factor scores), and strategies for conducting small person-sample research along Q methodological lines.
Author: John Green
Publisher: A&C Black
ISBN: 140884818X
Category : Juvenile Fiction
Languages : en
Pages : 321
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Book Description
Quentin Jacobson has spent a lifetime loving Margo Roth Spiegelman from afar. So when she cracks open a window and climbs into his life - dressed like a ninja and summoning him for an ingenious campaign of revenge - he follows. After their all-nighter ends, Q arrives at school to discover that Margo has disappeared.
Author: Mark Goodacre
Publisher: A&C Black
ISBN: 9781563383342
Category : Religion
Languages : en
Pages : 244
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Book Description
The resurrection of Jesus is thoroughly explored, using extra-canonical sources to fill in the blanks. Original.
Author: Amor Towles
Publisher: Penguin
ISBN: 0735222363
Category : Fiction
Languages : en
Pages : 593
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Book Description
#1 NEW YORK TIMES BESTSELLER More than ONE MILLION copies sold A TODAY Show Read with Jenna Book Club Pick A New York Times Notable Book, a New York Times Readers’ Choice Best Book of the Century, and Chosen by Oprah Daily, Time, NPR, The Washington Post, Bill Gates and Barack Obama as a Best Book of the Year “Wise and wildly entertaining . . . permeated with light, wit, youth.” —The New York Times Book Review “A classic that we will read for years to come.” —Jenna Bush Hager, Read with Jenna book club “Fantastic. Set in 1954, Towles uses the story of two brothers to show that our personal journeys are never as linear or predictable as we might hope.” —Bill Gates “A real joyride . . . elegantly constructed and compulsively readable.” —NPR The bestselling author of A Gentleman in Moscow and Rules of Civility and master of absorbing, sophisticated fiction returns with a stylish and propulsive novel set in 1950s America In June, 1954, eighteen-year-old Emmett Watson is driven home to Nebraska by the warden of the juvenile work farm where he has just served fifteen months for involuntary manslaughter. His mother long gone, his father recently deceased, and the family farm foreclosed upon by the bank, Emmett's intention is to pick up his eight-year-old brother, Billy, and head to California where they can start their lives anew. But when the warden drives away, Emmett discovers that two friends from the work farm have hidden themselves in the trunk of the warden's car. Together, they have hatched an altogether different plan for Emmett's future, one that will take them all on a fateful journey in the opposite direction—to the City of New York. Spanning just ten days and told from multiple points of view, Towles's third novel will satisfy fans of his multi-layered literary styling while providing them an array of new and richly imagined settings, characters, and themes. “Once again, I was wowed by Towles’s writing—especially because The Lincoln Highway is so different from A Gentleman in Moscow in terms of setting, plot, and themes. Towles is not a one-trick pony. Like all the best storytellers, he has range. He takes inspiration from famous hero’s journeys, including The Iliad, The Odyssey, Hamlet, Huckleberry Finn, and Of Mice and Men. He seems to be saying that our personal journeys are never as linear or predictable as an interstate highway. But, he suggests, when something (or someone) tries to steer us off course, it is possible to take the wheel.” – Bill Gates
Author: Harris Kwong
Publisher: Open SUNY Textbooks
ISBN: 9781942341161
Category : Mathematics
Languages : en
Pages : 298
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Book Description
A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
Author: P. D. Magnus
Publisher:
ISBN:
Category : Logic
Languages : en
Pages : 0
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Book Description
