Formal Logic

Author : P.D. Magnus
Publisher : Good Press
Page : 162 pages
File Size : 51,7 Mb
Release : 2023-11-27
Category : Philosophy
ISBN : EAN:8596547679349

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Forallx - An Introduction to Formal Logic by P.D. Magnus Pdf

Forallx is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Contents: What is logic? Sentential logic Truth tables Quanti ed logic Formal semantics Proofs Other symbolic notation Solutions to selected exercises

Author : Peter Smith
Publisher : Cambridge University Press
Page : 370 pages
File Size : 53,7 Mb
Release : 2003-11-06
Category : Mathematics
ISBN : 0521008042

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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 : Paul A. Gregory
Publisher : Broadview Press
Page : 400 pages
File Size : 51,5 Mb
Release : 2017-04-30
Category : Philosophy
ISBN : 9781770485945

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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 : Arnold vander Nat
Publisher : Routledge
Page : 360 pages
File Size : 47,9 Mb
Release : 2010-03-05
Category : Philosophy
ISBN : 9781135218706

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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 : G. E. Hughes,D. G. Londey
Publisher : Routledge
Page : 421 pages
File Size : 40,6 Mb
Release : 2019-11-04
Category : Philosophy
ISBN : 9781000736588

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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 : Augustus De Morgan
Publisher : Unknown
Page : 376 pages
File Size : 40,8 Mb
Release : 1847
Category : Logic
ISBN : NYPL:33433070237882

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Formal Logic by Augustus De Morgan Pdf

Author : Langer
Publisher : Courier Corporation
Page : 390 pages
File Size : 47,5 Mb
Release : 1967-01-01
Category : Mathematics
ISBN : 0486601641

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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 : P. T. Geach,B. Geach
Publisher : Univ of California Press
Page : 356 pages
File Size : 55,9 Mb
Release : 1980-04-30
Category : Philosophy
ISBN : 0520038479

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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 : L.H. Hackstaff
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401035477

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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 : 51,8 Mb
Release : 1970
Category : Philosophy
ISBN : STANFORD:36105030779446

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A History of Formal Logic by Joseph M. Bochenski Pdf

Author : Richard C. Jeffrey
Publisher : Unknown
Page : 128 pages
File Size : 50,5 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:258688211

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Formal Logic: Its Scope and Limits by Richard C. Jeffrey Pdf

Author : R. S. Y. Chi
Publisher : Motilal Banarsidass Publ.
Page : 320 pages
File Size : 45,5 Mb
Release : 1984
Category : Buddhist logic
ISBN : 8120807308

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Buddhist Formal Logic by R. S. Y. Chi Pdf

This work is primarily an interpretation of Indian Logic preserved in China. The material is mainly taken from K`uei Chi`s Great Commentary on the Nyayapravesa. It is not design to be a comprehensive study of Indian Logic in general, nor is it planned to be a complete exposition of K`uei Chi`s work in particular. Its scope is confined to formal Logic. The author`s intentions are to solve problems which have not yet been settled and to interpreted, instead of duplicating what other people have already done. Much more atttention has been made to fundamental principles and less to the list of fallacies, in particular less to the overelaboration which does not make much sense either theoretically or practically.

Author : L.H. Hackstaff
Publisher : Springer Science & Business Media
Page : 378 pages
File Size : 46,9 Mb
Release : 1966-07-31
Category : Philosophy
ISBN : 902770077X

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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 : Lorne Falkenstein,Scott Stapleford,Molly Kao
Publisher : Routledge
Page : 666 pages
File Size : 55,9 Mb
Release : 2021-11-30
Category : Philosophy
ISBN : 9781000451276

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Logic Works by Lorne Falkenstein,Scott Stapleford,Molly Kao Pdf

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

Author : Robert M. Martin
Publisher : Broadview Press
Page : 274 pages
File Size : 44,8 Mb
Release : 2004-05-14
Category : Philosophy
ISBN : 1551116359

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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.