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Discrete Mathematics and Its Applications
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Kenneth H Rosen
Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced ...
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Tractatus logico-philosophicus
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Ludwig Wittgenstein
Perhaps the most important work of philosophy written in the twentieth century, Tractatus Logico-Philosophicus was the only philosophical work that Ludwig Wittgenstein published during his lifetime. Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, ...
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The Logic Book
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Merrie Bergmann
This new edition is for introductory and intermediate level logic courses, offered in Philosophy departments. The semantics, syntax, and metatheory of both sentential and predicate logic are covered in detail. Techniques and concepts are presented first informally, then formally, using comprehensive explanations and numerous carefully constructed ...
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How to Read and Do Proofs: An Introduction to Mathematical Thought Processes
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Daniel Solow
A brief text which names and describes techniques that are used in all mathematical proofs, "How to Read and Do Proofs" teaches students how and when to use each technique. Useful as a supplement to a maths course, or as a book of general interest to anyone with a background of school maths, the book provides a structure and procedure for students ...
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Understanding Symbolic Logic
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Virginia Klenk
Designed for those who have no prior background in logic, philosophy, or mathematics, this comprehensive introduction covers all the standard topics of symbolic logic through relational predicate logic with identity. Understanding Symbolic Logic, Fourth Edition, is completely reader-friendly. All concepts and theories are presented in small "bites ...
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Symbolic logic
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by
Irving M. Copi
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Word and object.
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W. V. Quine
Language consists of dispositions, socially instilled, to respond observably to socially observable stimuli. Such is the point of view from which a noted philosopher and logician examines the notion of meaning and the linguistic mechanisms of objective reference. In the course of the discussion, Professor Quine pinpoints the difficulties involved ...
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Introduction to Logic: Propositional Logic, Revised Edition
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Howard Pospesel
For freshman/sophomore-level courses on Logic, Introduction to Logic, and Deductive Logic. Designed to make logic interesting and accessible--without sacrificing content or rigor--this classic introduction to contemporary propositional logic explains the symbolization of English sentences and develops formal-proof, truth-table, and truth-tree ...
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Infinity and the Mind: The Science and Philosophy of the Infinite
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Rudy Von B Rucker
In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Here Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the ...
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Logic: Techniques of Formal Reasoning
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Donald Kalish, Richard Montague, Gary Mar
Logic: Techniques of Formal Reasoning, 2/e is an introductory volume that teaches students to recognize and construct correct deductions. It takes students through all logical steps--from premise to conclusion--and presents appropriate symbols and terms, while giving examples to clarify principles. Logic, 2/e uses models to establish the ...
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How to Prove It: A Structured Approach
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Daniel J Velleman
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic ...
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The Logic Book with Student Solutions Manual
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Merrie Bergmann, James Moor, Jack Nelson
This outstanding book is a leading text for symbolic or formal logic courses All techniques and concepts are presented with clear, comprehensive explanations and numerous, carefully constructed examples. Its flexible organization (all chapters are complete and self-contained) allows instructors the freedom to cover the topics they want in the ...
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Schaum's Outline of Discrete Mathematics
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by
Seymour Lipschultz, Marc Lipson
The first edition of this book sold more than 100,000 copies - and this new edition will show you why! "Schaum's Outline of Discrete Mathematics" shows you step by step how to solve the kind of problems you're going to find on your exams. And this new edition features all the latest applications of discrete mathematics to computer science! This ...
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Set Theory and Logic
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by
Robert R. Stoll
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
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An Investigation of the Laws of Thought
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George Boole
A timeless introduction to the field and a landmark in symbolic logic, showing that classical logic can be treated algebraically.
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Beginning logic
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E. J. Lemmon
The aim of this book is to provide an exposition of elementary formal logic. The course, which is primarily intended for first-year students who have no previous knowledge of the subject, forms a working basis for more advanced reading and is presented in such a way as to be intelligible to the layman. The nature of logic is examined with the ...
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Readings for Logical Analysis
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by
Stephen R. Hicks, David Kelley
* 45 selections allow students to practice their logic skills on real-world arguments * Fresh Choices. This edition includes eleven new essays on topics such as the O.J. Simpson verdict, government funding for the National Endowment of the Arts, scientific method and the cure for "childbed fever," the constitutionality of capital punishment, and ...
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Modern Logic: A Text in Elementary Symbolic Logic
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by
Graeme Forbes
Modern Logic is a text designed for a first course in symbolic logic for students in philosophy, mathematics, computer science, or linguistics. The book covers classical sentential logic, monadic predicate logic, and full first-order logic with identity, in three separate sections. Modern Logic's natural deduction system will be easy for students ...
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An introduction to symbolic logic
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by
Professor Susanne K Langer
Famous classic has introduced hundreds of thousands to symbolic logic, via clear, thorough, precise exposition. Start with simple symbols, finish with Boole-Schroeder, Russell-Whitehead.
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Euclid in the Rainforest: Discovering Universal Truth in Logic and Math
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by
Joseph Mazur
Like Douglas Hofstadteras "GAdel, Escher, Bach," and David Berlinskias "A Tour of the Calculus, Euclid in the Rainforest" combines the literary with the mathematical to explore logicathe one indispensable tool in manas quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge ...
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Computability and Logic
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George Boolos
This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a ...
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Collected works
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Gödel, Feferman, Association for Symbolic Logic
Kurt Godel (1906 - 1978) was the most outstanding logician of the twentieth century, famous for his hallmark works on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum hypothesis. He is also noted for his work on constructivity, the decision problem, and the foundations of ...
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Symbolic Logic and the Game of Logic
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Lewis Carroll
The two works reprinted in this volume are a unique fusion of logical thought and inimitable whimsy. Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.
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Elements of the Theory of Computation
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Christos H. Papadimitriou, Harry R. Lewis
A general, yet comprehensive, introduction to the classical and contemporary theory of computation.
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Logical syntax of language
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by
Rudolf Carnap
Rudolf Carnap's entire theory of Language structure "came to me," he reports, "like a vision during a sleepless night in January 1931, when I was ill." This theory appeared in The Logical Syntax of Language (1934). Carnap argued that many philosophical controversies really depend upon whether a particular language form should be used. This leads ...
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