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Logic, Logic, and Logic

Logic, Logic, and Logic
Author: George Boolos
Publisher: Harvard University Press
Total Pages: 458
Release: 1998
Genre: Mathematics
ISBN: 9780674537675

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George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.


Philosophy of Logic

Philosophy of Logic
Author:
Publisher: Elsevier
Total Pages: 1218
Release: 2006-11-29
Genre: Mathematics
ISBN: 9780080466637

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The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter


Computability and Logic

Computability and Logic
Author: George S. Boolos
Publisher: Cambridge University Press
Total Pages: 365
Release: 2007-09-17
Genre: Computers
ISBN: 0521877520

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This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.


An Introduction to Mathematical Logic

An Introduction to Mathematical Logic
Author: Richard E. Hodel
Publisher: Courier Corporation
Total Pages: 514
Release: 2013-01-01
Genre: Mathematics
ISBN: 0486497852

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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.


Forever Undecided

Forever Undecided
Author: Raymond M. Smullyan
Publisher: Knopf
Total Pages: 286
Release: 2012-07-04
Genre: Mathematics
ISBN: 0307962466

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Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!


Logic for Philosophy

Logic for Philosophy
Author: Theodore Sider
Publisher: Oxford University Press
Total Pages: 305
Release: 2010-01-07
Genre: Philosophy
ISBN: 0192658816

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Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.


Logic

Logic
Author: Nicholas J.J. Smith
Publisher: Princeton University Press
Total Pages: 544
Release: 2012-04
Genre: Philosophy
ISBN: 0691151636

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Provides an essential introduction to classical logic.


Introduction to Logic (Teacher Guide)

Introduction to Logic (Teacher Guide)
Author: Jason Lisle
Publisher: Master Books
Total Pages: 153
Release: 2018-12-10
Genre: Philosophy
ISBN: 9781683441496

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The vital resource for grading all assignments from the Introduction To Logic course, which includes:Instructional insights enhanced with worksheets and additional practice sheetsSpecial chapter reviews at the beginning of each new chapter worksheet created to help students and teachers grasp the scope of each section.OVERVIEW: Welcome to the world of logic. This logic course will both challenge and inspire students to be able to defend their faith against atheists and skeptics alike. Because learning logical terms and principles is often like learning a foreign language, the course has been developed to help students of logic learn the practical understanding of logical arguments. To make the course content easier to grasp, the schedule provides worksheets and practice sheets to help students better recognize logical fallacies, as well as review weeks for the quizzes and the final. The practice sheets in the back of the book offer practical study for both the final exam and for actual arguments you might encounter online or in the media.FEATURES: The calendar provides daily sessions with clear objectives and worksheets, quizzes, and tests, all based on the readings from the course book.


Teaching with Love & Logic

Teaching with Love & Logic
Author: Jim Fay
Publisher: Love & Logic Press
Total Pages: 399
Release: 1995
Genre: Education
ISBN: 9780944634295

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Presents techniques for teaching based on the "Love and Logic" philosophy of working with children.


Socratic Logic

Socratic Logic
Author: Peter Kreeft
Publisher:
Total Pages: 0
Release: 2010
Genre: Philosophy
ISBN: 9781587318085

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This new and revised edition of Peter Kreeft's Socratic Logic is updated, adding new exercises and more complete examples, all with Kreeft's characteristic clarity and wit. Since its introduction in the spring of 2004, Socratic Logic has proven to be a different type of logic text: . (1) This is the only complete system of classical Aristotelian logic in print. The "old logic" is still the natural logic of the four language arts (reading, writing, speaking, and listening). Symbolic, or "mathematical," logic is not for the humanities. (How often have you heard someone argue in symbolic logic?) (2) This book is simple and user-friendly. It is highly interactive, with a plethora of exercises and a light, engaging style. (3) It is practical. It is designed for do-it-yourselfers as well as classrooms. It emphasizes topics in proportion to probable student use: e.g., interpreting ordinary language, not only analyzing but also constructing effective arguments, smoking out hidden assumptions, making "argument maps," and using Socratic method in various circumstances. (4) It is philosophical. Its exercises expose students to many classical quotations, and additional chapters introduce philosophical issues in a Socratic manner and from a common- sense, realistic point of view. It prepares students for reading Great Books rather than Dick and Jane, and models Socrates as the beginner's ideal teacher and philosopher.