Formal Logic

Author : Paul A. Gregory
Publisher : Broadview Press
Page : 400 pages
File Size : 53,9 Mb
Release : 2017-04-30
Category : Philosophy
ISBN : 9781770485945

Get Book

Formal Logic by Paul A. Gregory Pdf

Formal Logic is an undergraduate text suitable for introductory, intermediate, and advanced courses in symbolic logic. The book’s nine chapters offer thorough coverage of truth-functional and quantificational logic, as well as the basics of more advanced topics such as set theory and modal logic. Complex ideas are explained in plain language that doesn’t presuppose any background in logic or mathematics, and derivation strategies are illustrated with numerous examples. Translations, tables, trees, natural deduction, and simple meta-proofs are taught through over 400 exercises. A companion website offers supplemental practice software and tutorial videos.

Author : Peter Smith
Publisher : Cambridge University Press
Page : 370 pages
File Size : 47,6 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521008042

Get Book

An Introduction to Formal Logic by Peter Smith Pdf

Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.

Author : P. D. Magnus,Tim Button,Robert Trueman,Richard Zach
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 2023
Category : Logic
ISBN : OCLC:1410964102

Get Book

Forall X by P. D. Magnus,Tim Button,Robert Trueman,Richard Zach Pdf

Author : Arnold vander Nat
Publisher : Routledge
Page : 360 pages
File Size : 54,5 Mb
Release : 2010-03-05
Category : Philosophy
ISBN : 9781135218706

Get Book

Simple Formal Logic by Arnold vander Nat Pdf

Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning. By keeping out artificial techniques that aren’t natural to our everyday thinking process, Simple Formal Logic trains students to think through formal logical arguments for themselves, ingraining in them the habits of sound reasoning. Simple Formal Logic features: a companion website with abundant exercise worksheets, study supplements (including flashcards for symbolizations and for deduction rules), and instructor’s manual two levels of exercises for beginning and more advanced students a glossary of terms, abbreviations and symbols. This book arose out of a popular course that the author has taught to all types of undergraduate students at Loyola University Chicago. He teaches formal logic without the artificial methods–methods that often seek to solve farfetched logical problems without any connection to everyday and philosophical argumentation. The result is a book that teaches easy and more intuitive ways of grappling with formal logic–and is intended as a rigorous yet easy-to-follow first course in logical thinking for philosophy majors and non-philosophy majors alike.

Author : Augustus De Morgan
Publisher : Unknown
Page : 376 pages
File Size : 43,5 Mb
Release : 1847
Category : Logic
ISBN : NYPL:33433070237882

Get Book

Formal Logic by Augustus De Morgan Pdf

Author : G. E. Hughes,D. G. Londey
Publisher : Routledge
Page : 421 pages
File Size : 40,5 Mb
Release : 2019-11-04
Category : Philosophy
ISBN : 9781000736588

Get Book

The Elements of Formal Logic by G. E. Hughes,D. G. Londey Pdf

Originally published in 1965. This is a textbook of modern deductive logic, designed for beginners but leading further into the heart of the subject than most other books of the kind. The fields covered are the Propositional Calculus, the more elementary parts of the Predicate Calculus, and Syllogistic Logic treated from a modern point of view. In each of the systems discussed the main emphases are on Decision Procedures and Axiomatisation, and the material is presented with as much formal rigour as is compatible with clarity of exposition. The techniques used are not only described but given a theoretical justification. Proofs of Consistency, Completeness and Independence are set out in detail. The fundamental characteristics of the various systems studies, and their relations to each other are established by meta-logical proofs, which are used freely in all sections of the book. Exercises are appended to most of the chapters, and answers are provided.

Author : P. T. Geach,B. Geach
Publisher : Univ of California Press
Page : 356 pages
File Size : 45,8 Mb
Release : 1980-04-30
Category : Philosophy
ISBN : 0520038479

Get Book

Logic Matters by P. T. Geach,B. Geach Pdf

"This is a significant and ofren rather demanding collection of essays. It is an anthology purring together the uncollected works of an important twentieth-century philosopher. Many of the articles treat one or another of the more important issues considered by analytic philosophers during the last quarter-century. Of significant importance to philosophers interested in researching the many topics contained in Logic Matters is the inclusion in this anthology of a rather extensive eight-page name-topic index."--Thomist "The papers are arranged by topic: Historical Essays, Traditional Logic, Theory of Reference and Syntax, Intentionality, Quotation and Semantics, Set Theory, Identity Theory, Assertion, Imperatives and Practical Reasoning, Logic in Metaphysics and Theology. The broad range of issues that have engaged Geach's complex and systematic reasoning is impressive. In addition to classical logic, topics in ethics, ontology, and even the logic of religious dogmas are tackled .... the work in this collection is more brilliant and ingenious than it is difficult and demanding."--Philosophy of Science "Geach displays his mastery of applying logical techniques and concepts to philosophical questions. Compared with most works in philosophical logic this book is remarkable for its range of topics. Plato, Aristotle, Aquinas, Russell, Wittgenstein, and Quine all figure prominently. Geach's style is remarkably lively considering the rightly argued matter. Although some of the articles treat rather technical questions in mathematical logic, most are accessible to philosophers with modest backgrounds in logic." --Choice

Author : Langer
Publisher : Courier Corporation
Page : 390 pages
File Size : 43,8 Mb
Release : 1967-01-01
Category : Mathematics
ISBN : 0486601641

Get Book

An Introduction to Symbolic Logic by Langer Pdf

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.

Author : Howard Straubing
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461202899

Get Book

Finite Automata, Formal Logic, and Circuit Complexity by Howard Straubing Pdf

The study of the connections between mathematical automata and for mal logic is as old as theoretical computer science itself. In the founding paper of the subject, published in 1936, Turing showed how to describe the behavior of a universal computing machine with a formula of first order predicate logic, and thereby concluded that there is no algorithm for deciding the validity of sentences in this logic. Research on the log ical aspects of the theory of finite-state automata, which is the subject of this book, began in the early 1960's with the work of J. Richard Biichi on monadic second-order logic. Biichi's investigations were extended in several directions. One of these, explored by McNaughton and Papert in their 1971 monograph Counter-free Automata, was the characterization of automata that admit first-order behavioral descriptions, in terms of the semigroup theoretic approach to automata that had recently been developed in the work of Krohn and Rhodes and of Schiitzenberger. In the more than twenty years that have passed since the appearance of McNaughton and Papert's book, the underlying semigroup theory has grown enor mously, permitting a considerable extension of their results. During the same period, however, fundamental investigations in the theory of finite automata by and large fell out of fashion in the theoretical com puter science community, which moved to other concerns.

Author : Catarina Dutilh Novaes
Publisher : Cambridge University Press
Page : 285 pages
File Size : 55,5 Mb
Release : 2012-11-08
Category : Computers
ISBN : 9781107020917

Get Book

Formal Languages in Logic by Catarina Dutilh Novaes Pdf

Examines the cognitive impact on formal languages for human reasoning, drawing on philosophy, historical development, psychology and cognitive science.

Author : L.H. Hackstaff
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401035477

Get Book

Systems of Formal Logic by L.H. Hackstaff Pdf

The present work constitutes an effort to approach the subject of symbol ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela tions, their differences. In pursuit of this goal, a chapter explaining basic concepts of modern logic together with the truth-table techniques of definition and proof is first set out. In Chapter 2 a kind of ur-Iogic is built up and deductions are made on the basis of its axioms and rules. This axiom system, resembling a propositional system of Hilbert and Ber nays, is called P +, since it is a positive logic, i. e. , a logic devoid of nega tion. This system serves as a basis upon which a variety of further sys tems are constructed, including, among others, a full classical proposi tional calculus, an intuitionistic system, a minimum propositional calcu lus, a system equivalent to that of F. B. Fitch (Chapters 3 and 6). These are developed as axiomatic systems. By means of adding independent axioms to the basic system P +, the notions of independence both for primitive functors and for axiom sets are discussed, the axiom sets for a number of such systems, e. g. , Frege's propositional calculus, being shown to be non-independent. Equivalence and non-equivalence of systems are discussed in the same context. The deduction theorem is proved in Chapter 3 for all the axiomatic propositional calculi in the book.

Author : Joseph M. Bochenski
Publisher : New York : Chelsea Publishing Company
Page : 616 pages
File Size : 51,9 Mb
Release : 1970
Category : Philosophy
ISBN : STANFORD:36105030779446

Get Book

A History of Formal Logic by Joseph M. Bochenski Pdf

Author : Robert M. Martin
Publisher : Broadview Press
Page : 274 pages
File Size : 51,9 Mb
Release : 2004-05-14
Category : Philosophy
ISBN : 1551116359

Get Book

Introducing Symbolic Logic by Robert M. Martin Pdf

This accessible, SHORT introduction to symbolic logic includes coverage of sentential and predicate logic, translations, truth tables, and derivations. The author’s engaging style makes this the most informal of introductions to formal logic. Topics are explained in a conversational, easy-to-understand way for readers not familiar with mathematics or formal systems, and the author provides patient, reader-friendly explanations—even with the occasional bit of humour. The first half of the book deals with all the basic elements of Sentential Logic: the five truth-functional connectives, formation rules and translation into this language, truth-tables for validity, logical truth/falsity, equivalency, consistency and derivations. The second half deals with Quantifier Logic: the two quantifiers, formation rules and translation, demonstrating certain logical characteristics by “Finding an Interpretation” and derivations. There are plenty of exercises scattered throughout, more than in many texts, arranged in order of increasing difficulty and including separate answer keys.

Author : Rodger L. Jackson,Melanie L. McLeod
Publisher : Broadview Press
Page : 354 pages
File Size : 49,5 Mb
Release : 2014-11-04
Category : Philosophy
ISBN : 9781460402788

Get Book

The Logic of Our Language by Rodger L. Jackson,Melanie L. McLeod Pdf

The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.

Author : C. L. Hamblin
Publisher : Routledge
Page : 138 pages
File Size : 48,9 Mb
Release : 2019-11-04
Category : Philosophy
ISBN : 9781000737035

Get Book

Elementary Formal Logic by C. L. Hamblin Pdf

Originally published in 1966. This is a self-instructional course intended for first-year university students who have not had previous acquaintance with Logic. The book deals with "propositional" logic by the truth-table method, briefly introducing axiomatic procedures, and proceeds to the theory of the syllogism, the logic of one-place predicates, and elementary parts of the logic of many-place predicates. Revision material is provided covering the main parts of the course. The course represents from eight to twenty hours work. depending on the student's speed of work and on whether optional chapters are taken.