Three Views of Logic

Three Views of Logic

Author: Donald W. Loveland

Publisher: Princeton University Press

Published: 2014-01-26

Total Pages: 339

ISBN-13: 140084875X

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The first interdisciplinary textbook to introduce students to three critical areas in applied logic Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses


Professionalism

Professionalism

Author: Eliot Freidson

Publisher: John Wiley & Sons

Published: 2013-07-10

Total Pages: 423

ISBN-13: 0745666299

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Eliot Freidson has written the first systematic account of professionalism as a method of organizing work. In ideal-typical professionalism, specialized workers control their own work, while in the free market consumers are in command, and in bureaucracy managers dominate. Freidson shows how each method has its own logic requiring different kinds of knowledge, organization, career, education and ideology. He also discusses how historic and national variations in state policy, professional organization, and forms of practice influence the strength of professionalism. In appraising the embattled position of professions today, Freidson concludes that ideologically inspired attacks pose less danger to professionals' institutional privileges than to their ethical independence to resist use of their specialized knowledge to maximize profit and efficiency without also providing its benefits to all in need. This timely and original analysis will be of great interest to those in sociology, political science, history, business studies and the various professions.


Logic Primer, third edition

Logic Primer, third edition

Author: Colin Allen

Publisher: MIT Press

Published: 2022-02-15

Total Pages: 175

ISBN-13: 0262543648

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The new edition of a comprehensive and rigorous but concise introduction to symbolic logic. Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems. Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.


A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic

Author: Christopher C. Leary

Publisher: Lulu.com

Published: 2015

Total Pages: 382

ISBN-13: 1942341075

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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.


An Introduction to Symbolic Logic

An Introduction to Symbolic Logic

Author: Langer

Publisher: Courier Corporation

Published: 1967-01-01

Total Pages: 388

ISBN-13: 9780486601649

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Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.


Logic

Logic

Author: Stan Baronett

Publisher: Pearson Education India

Published: 2008

Total Pages: 480

ISBN-13: 9788131721032

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Book of Proof

Book of Proof

Author: Richard H. Hammack

Publisher:

Published: 2016-01-01

Total Pages: 314

ISBN-13: 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.


Proofs from THE BOOK

Proofs from THE BOOK

Author: Martin Aigner

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 194

ISBN-13: 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.


Logic for Beginners

Logic for Beginners

Author: Michael J. Monge

Publisher:

Published: 2017-06

Total Pages:

ISBN-13: 9780983188438

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An introductory Logic Textbook for first and second year college students


Supermarket

Supermarket

Author: Bobby Hall

Publisher: Simon and Schuster

Published: 2019-03-26

Total Pages: 288

ISBN-13: 1982127155

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#1 NEW YORK TIMES BESTSELLER The stunning debut novel from one of the most creative artists of our generation, Bobby Hall, a.k.a. Logic. “Bobby Hall has crafted a mind-bending first novel, with prose that is just as fierce and moving as his lyrics. Supermarket is like Naked Lunch meets One Flew Over the Cuckoo's Nest—if they met at Fight Club.”—Ernest Cline, #1 New York Times bestselling author of Ready Player One Flynn is stuck—depressed, recently dumped, and living at his mom’s house. The supermarket was supposed to change all that. An ordinary job and a steady check. Work isn’t work when it’s saving you from yourself. But things aren’t quite as they seem in these aisles. Arriving to work one day to a crime scene, Flynn’s world collapses as the secrets of his tortured mind are revealed. And Flynn doesn’t want to go looking for answers at the supermarket. Because something there seems to be looking for him. A darkly funny psychological thriller, Supermarket is a gripping exploration into madness and creativity. Who knew you could find sex, drugs, and murder all in aisle nine?