Advertisement
| symbolic logic book: Symbolic Logic John Venn, 1894 |
| symbolic logic book: An Introduction to Symbolic Logic Susanne K. Langer, 2013-10 This is a new release of the original 1937 edition. |
| symbolic logic book: Elementary Symbolic Logic William Gustason, Dolph E. Ulrich, 1989-01-01 This volume offers a serious study of the fundamentals of symbolic logic that will neither frustrate nor bore the reader. The emphasis is on developing the students grasp of standard techniques and concepts rather than on achieving a high degree of sophistication. Coverage embraces all of the standard topics in sentential and quantificational logic, including multiple quantification, relations, and identity. Semantic and deductive topics are carefully distinguished, and appendices include an optional discussion of metatheory for sentential logic and truth trees. |
| symbolic logic book: Modern Logic Graeme Forbes, 1994 Modern Logic fills the strong need for a highly accessible, carefully structured introductory text in symbolic logic. The natural deduction system Forbes uses will be easy for students to understand, and the material is carefully structured, with graded exercises at the end of each section, selected answers to which are provided at the back of the book. The book's emphasis is on giving the student a thorough understanding of the concepts rather than just a facilitywith formal procedures. |
| symbolic logic book: Symbolic Logic David Agler, 2012-12-16 Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings. |
| symbolic logic book: Lewis Carroll's Symbolic Logic Lewis Carroll, 1977 Carroll develops quite new and original approaches to deductive method and to logical paradox.--from inside back cover. |
| symbolic logic book: Symbolicc logic Clarence Irving Lewis, Cooper Harold Langford, 1959 |
| symbolic logic book: Einführung in Die Symbolische Logik Rudolf Carnap, 1958-01-01 A clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. It then considers the application of symbolic logic to the clarification and axiomatization of theories in mathematics, physics, and biology. Hundreds of problems, examples, and exercises. 1958 edition. |
| symbolic logic book: Simple Formal Logic Arnold vander Nat, 2010-03-05 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. |
| symbolic logic book: Introducing Symbolic Logic Robert M. Martin, 2004-05-14 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. |
| symbolic logic book: Logic with Trees Colin Howson, 2005-10-11 Logic With Trees is a new and original introduction to modern formal logic. Unlike most texts, it also contains discussions on more philosophical issues such as truth, conditionals and modal logic. It presents the formal material with clarity, preferring informal explanations and arguments to intimidatingly rigorous development. Worked examples and excercises enable the readers to check their progress. Logic With Trees equips students with * a complete and clear account of the truth-tree system for first order logic * the importance of logic and its relevance to many different disciplines * the skills to grasp sophisticated formal reasoning techniques necessary to explore complex metalogic * the ability to contest claims that `ordinary' reasoning is well represented by formal first order logic The issues covered include a thorough discussion of truth-functional and full first order logic, using the truth-tree or semantic tableau approach. Completeness and Soundness proofs are given for both truth-functional and first order trees. Much use is made of induction, which is presented in a clear and consistent manner. There is also discussion of alternative deductive systems, an introduction to transfinite numbers and categoricity, the Lowenhein-Skolem theories and the celebrated findings of Godel and Church. The book concludes with an account of Kripke's attempted solution of the liar paradox and a discussion of the weakness of truth-functional account of conditionals. Particularly useful to those who favour critical accounts of formal reasoning, it will be of interest to students of philosophy at first level and beyond and also students of mathematics and computer science. |
| symbolic logic book: An Introduction to Symbolic Logic Langer, 1967-01-01 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. |
| symbolic logic book: Beginning Logic Edward John Lemmon, 1978-01-01 One of the most careful and intensive among the introductory texts that can be used with a wide range of students. It builds remarkably sophisticated technical skills, a good sense of the nature of a formal system, and a solid and extensive background for more advanced work in logic. . . . The emphasis throughout is on natural deduction derivations, and the text's deductive systems are its greatest strength. Lemmon's unusual procedure of presenting derivations before truth tables is very effective. --Sarah Stebbins, The Journal of Symbolic Logic |
| symbolic logic book: Symbolic Logic 4e Dr. Daniel Kern, 2016-05-31 Designed for a first, college-level course in Symbolic Logic, in class or online. Covers Sentential Logic, Natural Deduction, Truth Trees, Predicate Logic and Quantifier Logic. |
| symbolic logic book: Symbolic Logic Venn John, 1901 |
| symbolic logic book: Philosophy of Logic , 2006-11-29 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 |
| symbolic logic book: Introduction to Symbolic Logic James Donald Carney, 1970 |
| symbolic logic book: Symbolic logic John Venn, 1894 |
| symbolic logic book: Symbolic Logic and the Game of Logic Lewis Carroll, 1958-06 Over 350 ingenious problems involving classical logic: logic expressed in symbols; syllogisms and the sorites diagrammed; logic as a game played with 2 diagrams and a set of counters. |
| symbolic logic book: Formal Logic Paul A. Gregory, 2017-04-30 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. |
| symbolic logic book: A Concise Introduction to Logic Craig DeLancey, 2017-02-06 |
| symbolic logic book: Symbolic Logic and Other Forms of Deductive Reasoning Richard L. Trammell, 2016-07-11 This text does not presuppose any technical background in math or logic. The first seven chapters cover all the basic components of a first course in symbolic logic, including truth tables, rules for devising formal proofs of validity, multiple quantifiers, properties of relations, enthymemes, and identity. (One exception is that truth trees are not discussed.) The five operator symbols used are: (.) and, (v) or, ( ) not, and also if-then, represented by the sideways U and material equivalence represented by the triple line. There are also four chapters which can be studied without symbolic logic background. Chapter 8 is a study of 7 immediate inferences in Aristotelian logic using A, E, I, O type statements with a detailed proof concerning what existential assumptions are involved. Chapter 9 is a study of classic Boolean syllogism using Venn diagrams to show the validity or invalidity of syllogisms. Chapter 10 is a study of the type of probability problems that are deductive (example: having 2 aces in 5 cards drawn from a randomized deck of cards). Chapter 11 is a study of the types of problems that are often found on standardized tests where certain data are given, and then multiple-choice questions are given where the single correct answer is determined by the data. In the symbolic logic chapters, it is shown many times how putting English statements into symbolic notation reveals the complexity (and sometimes ambiguity) of natural language. Many examples are given of the usage of logic in everyday life, with statements to translate taken from musicals, legal documents, federal tax instructions, etc. Several sections involve arguments given in English, which must be translated into symbolic notation before proof of validity is given. Chapter 7 ends with a careful presentation of Richard's Paradox, challenging those who dismiss the problem because it is not strictly mathematical. The conclusion of this chapter is the most controversial part of the text. Richard's paradox is used to construct a valid symbolic logic proof that Cantor's procedure does not prove there are nondenumerable sets, with a challenge to the reader to identify and prove which premise of the argument is false. There are several uncommon features of the text. For example, there is a section where it is shown how the rules of logic are used in solving Sudoku puzzles. Another section challenges students to devise arguments (premises and conclusion) that can be solved in a certain number of steps (say 3) only by using a certain 3 rules, one time each (for example, Modus Ponens, Simplification, and Conjunction). In proofs of invalidity, if there are 10 simple statements (for example), there are 1024 possible combinations of truth values that the 10 statements can have. But the premises and conclusions are set up so that only 1 of these combinations will make all the premises true and the conclusion false - and this 1 way can be found by forced truth-value assignments, with no need to take options. Another unusual section of the text defines the five operator symbols as relations (for example, Cxy = x conjuncted with y is true), and then statements about the operators are given to determine whether the statements are true or false. To aid in deciding what sections to cover in a given course or time frame, certain sections are labeled optional as an indication that understanding these sections is not presupposed by later sections in the text. Although there are a ton of problems with answers in the text, any teacher using this text for a course can receive free of charge an answer book giving answers to all the problems not answered in the text, plus a few cases of additional problems not given in the text, also with answers. Send your request to rltrammell151@gmail.com, and you will be sent an answer key using your address at the school where you teach. |
| symbolic logic book: Symbolic Logic Lewis Carroll, 1977 |
| symbolic logic book: Understanding Symbolic Logic Virginia Klenk, 1983 This comprehensive introduction presents the fundamentals of symbolic logic clearly, systematically, and in a straightforward style accessible to readers. Each chapter, or unit, is divided into easily comprehended small bites that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic. |
| symbolic logic book: Symbolic Logic Irving M. Copi, 1965 |
| symbolic logic book: Symbolic Logic Gary M. Hardegree, 2011 |
| symbolic logic book: Essentials of Symbolic Logic R. L. Simpson, 1988 Essentials of Symbolic Logic is a concise and clearly written introduction to the topic. Based on years of use in colleges and universities, the book provides an accessible and thorough grounding in sentence logic and predicate logic. While technical jargon is kept to a minimum, all necessary logical concepts and vocabulary are explained clearly. A standard system of natural deduction is developed, and readers are given suggestions for developing strategies for creating derivations (proofs) in this system. |
| symbolic logic book: The Logic Book Merrie Bergmann, James Moor, Jack Nelson, 2008-07-30 This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose. |
| symbolic logic book: Symbolic Logic John Venn, 2023-07-18 In this classic work on mathematical logic, author unknown provides an introduction to the principles of symbolic logic. Using a rigorous and systematic approach, 'Symbolic Logic' explores the nature of mathematical propositions, the relationship between logical principles and mathematical truth, and the tools necessary for working with symbolic logic. This book is an essential resource for anyone interested in mathematical philosophy, logic, or computer science. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| symbolic logic book: Elements of Symbolic Logic Hans Reichenbach, 1966 |
| symbolic logic book: Socratic Logic 3e Pbk Peter Kreeft, 2010-01-12 Symbolic logic may be superior to classical Aristotelian logic for the sciences, but not for the humanities. This text is designed for do-it-yourselfers as well as classrooms. |
| symbolic logic book: Symbolic Logic Lewis Carroll, 1897 |
| symbolic logic book: Symbolic Logic Frederic Brenton Fitch, 1970 |
| symbolic logic book: First Course in Mathematical Logic Patrick Suppes, Shirley Hill, 2012-04-30 Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more. |
| symbolic logic book: Logic in Practice L. Susan Stebbing, 2019-11-04 Originally published in 1934. This fourth edition originally published 1954., revised by C. W. K. Mundle. It must be the desire of every reasonable person to know how to justify a contention which is of sufficient importance to be seriously questioned. The explicit formulation of the principles of sound reasoning is the concern of Logic. This book discusses the habit of sound reasoning which is acquired by consciously attending to the logical principles of sound reasoning, in order to apply them to test the soundness of arguments. It isn’t an introduction to logic but it encourages the practice of logic, of deciding whether reasons in argument are sound or unsound. Stress is laid upon the importance of considering language, which is a key instrument of our thinking and is imperfect. |
| symbolic logic book: Symbolic Logic Odysseus Makridis, 2022-02-21 This book provides a comprehensive introduction to the essential elements of standard (classical) symbolic logic. Key topics covered include: · The characteristic nature and scope of logic as a discipline · The construction of a series of distinctly named formal languages suitable for formal translation · Semantic models · The construction of decision procedures · The execution of proof-theoretic arrangements like natural deduction and proof-sequent systems The book covers both the semantics and proof theory of the standard sentential (propositional) logic and predicate (first-order) logic. Other topics covered include: parsing trees, extraction of alternative notations (for instance, Polish notation), Fitch-style proof-theory, sequent and ‘tree’ proof systems, comparisons and contrasts with intuitionistic logic, and presentations of predicate logic models. An ancillary chapter on elements of set theory is conveniently placed at the end and includes insights into the Zermelo-Fraenkel systematization of set theory. The philosophy of logic is also explored. Exercises in the text provide instruction on mathematical induction for the construction of formula, tests for the well-formedness of Polish notation, and functional completeness. Symbolic Logic is essential reading for all philosophy students taking intermediate level formal logic courses and will also appeal to diligent first year students of logic. The text is replete with exercises on both the formal machinery and the philosophical aspects of logic. |
| symbolic logic book: Logic Primer, second edition Colin Allen, Michael Hand, 2001-01-16 Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. Logic Primer presents a rigorous introduction to natural deduction systems of sentential and first-order logic. The text is designed to foster the student-instructor relationship. The key concepts are laid out in concise definitions and comments, with the expectation that the instructor will elaborate upon them. New to the second edition is the addition of material on the logic of identity in chapters 3 and 4. An innovative interactive Web site, consisting of a Logic Daemon and a Quizmaster, encourages students to formulate their own proofs and links them to appropriate explanations in the book. |
| symbolic logic book: Forall X P. D. Magnus, Tim Button, Robert Trueman, Richard Zach, 2023 |
SYMBOLIC Definition & Meaning - Merriam-Webster
The meaning of SYMBOLIC is using, employing, or exhibiting a symbol. How to use symbolic in a sentence.
SYMBOLIC | English meaning - Cambridge Dictionary
SYMBOLIC definition: 1. representing something else: 2. used to refer to an action that expresses or seems to express…. Learn more.
Symbolic - definition of symbolic by The Free Dictionary
1. serving as a symbol of something (often fol. by of). 2. of, pertaining to, or expressed by a symbol. 3. characterized by or involving the use of symbols: a highly symbolic poem. …
SYMBOLIC definition and meaning | Collins English Dictionary
If you describe an event, action, or procedure as symbolic, you mean that it represents an important change, although it has little practical effect.
Symbolic - Definition, Meaning & Synonyms - Vocabulary.com
When one thing represents something else that's more abstract, it is symbolic, like a cowboy's black hat in western films is symbolic of his sinister intentions.
Online Symbolism Dictionary - University of Michigan
This symbolism dictionary endeavors to provide some possible cultural significances of various symbols, and suggest ways in which those symbols may have been used in context.
SYMBOLIC Definition & Meaning - Dictionary.com
serving as a symbol of something (often followed byof ). of, relating to, or expressed by a symbol. characterized by or involving the use of symbols. a highly symbolic poem. (in semantics, …
Symbolic Definition & Meaning | Britannica Dictionary
SYMBOLIC meaning: 1 : expressing or representing an idea or quality without using words often + of; 2 : relating to or being used as a symbol
symbolic | meaning of symbolic in Longman Dictionary of …
symbolic meaning, definition, what is symbolic: a symbolic action is important because o...: Learn more.
symbolic - Wiktionary, the free dictionary
Jan 8, 2025 · symbolic (comparative more symbolic, superlative most symbolic) Pertaining to a symbol. Implicitly representing or referring to another thing.
SYMBOLIC Definition & Meaning - Merriam-Webster
The meaning of SYMBOLIC is using, employing, or exhibiting a symbol. How to use symbolic in a sentence.
SYMBOLIC | English meaning - Cambridge Dictionary
SYMBOLIC definition: 1. representing something else: 2. used to refer to an action that expresses or seems to express…. Learn more.
Symbolic - definition of symbolic by The Free Dictionary
1. serving as a symbol of something (often fol. by of). 2. of, pertaining to, or expressed by a symbol. 3. characterized by or involving the use of symbols: a highly symbolic poem. …
SYMBOLIC definition and meaning | Collins English Dictionary
If you describe an event, action, or procedure as symbolic, you mean that it represents an important change, although it has little practical effect.
Symbolic - Definition, Meaning & Synonyms - Vocabulary.com
When one thing represents something else that's more abstract, it is symbolic, like a cowboy's black hat in western films is symbolic of his sinister intentions.
Online Symbolism Dictionary - University of Michigan
This symbolism dictionary endeavors to provide some possible cultural significances of various symbols, and suggest ways in which those symbols may have been used in context.
SYMBOLIC Definition & Meaning - Dictionary.com
serving as a symbol of something (often followed byof ). of, relating to, or expressed by a symbol. characterized by or involving the use of symbols. a highly symbolic poem. (in semantics, …
Symbolic Definition & Meaning | Britannica Dictionary
SYMBOLIC meaning: 1 : expressing or representing an idea or quality without using words often + of; 2 : relating to or being used as a symbol
symbolic | meaning of symbolic in Longman Dictionary of …
symbolic meaning, definition, what is symbolic: a symbolic action is important because o...: Learn more.
symbolic - Wiktionary, the free dictionary
Jan 8, 2025 · symbolic (comparative more symbolic, superlative most symbolic) Pertaining to a symbol. Implicitly representing or referring to another thing.
