Deductive Logic

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Deductive Logic

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Author : Warren D. Goldfarb
language : en
Publisher: Hackett Publishing
Release Date : 2003-01-01

Deductive Logic written by Warren D. Goldfarb and has been published by Hackett Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Philosophy categories.

This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

An Introduction To Deductive Logic

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Author : Gary Iseminger
language : en
Publisher: Ardent Media
Release Date : 1968

An Introduction To Deductive Logic written by Gary Iseminger and has been published by Ardent Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Logic categories.

Principles Of Deductive Logic

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Author :
language : en
Publisher: SUNY Press
Release Date :

Principles Of Deductive Logic written by and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with Language Arts & Disciplines categories.

Clear focus on its application of formal logic to ordinary English is the most distinctive feature of this textbook for the introductory course in deductive logic. Great care is taken with the appropriate translation into logical languages of ordinary English sentences. Evaluation of these translations promotes a more effective use of ordinary language. The Principles of Deductive Logic presents symbolic logic in a fuller and more leisurely fashion than other introductory textbooks. Early chapters cover informal material, including definition and informal fallacies. The remainder of the text is devoted to the treatment of four distinct artificial languages. The Categorical language is the language of syllogistic logic. The Extended Categorical language enriches this first language with the symbolic connectives for conjunction and negation. The Propositional Connective language and the First-Order language (with identity) are the two basic languages of modern logic. Each language is accompanied by a deductive system, and is used as an instrument for exploring ordinary language, including ordinary arguments The book contains a large number of exercises whose answers are supplied in the back of the book, and many more that can be assigned as homework. A solution's manual is available to instructors upon their request. The request must be written on college or university letterhead.

Introduction To Logic

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Author : Alfred Tarski
language : en
Publisher: Courier Corporation
Release Date : 2013-07-04

Introduction To Logic written by Alfred Tarski and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.

This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.

Deductive Logic

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Author : Hugues Leblanc
language : en
Publisher: Allyn & Bacon
Release Date : 1976

Deductive Logic written by Hugues Leblanc and has been published by Allyn & Bacon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Philosophy categories.

Deductive Logic In Natural Language

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Author : Douglas Cannon
language : en
Publisher: Broadview Press
Release Date : 2002-11-13

Deductive Logic In Natural Language written by Douglas Cannon and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-13 with Philosophy categories.

This text offers an innovative approach to the teaching of logic, which is rigorous but entirely non-symbolic. By introducing students to deductive inferences in natural language, the book breaks new ground pedagogically. Cannon focuses on such topics as using a tableaux technique to assess inconsistency; using generative grammar; employing logical analyses of sentences; and dealing with quantifier expressions and syllogisms. An appendix covers truth-functional logic.

Logic Deductive And Inductive

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Author : Carveth Read
language : en
Publisher:
Release Date : 1914

Logic Deductive And Inductive written by Carveth Read and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1914 with Logic categories.

Symbolic Logic And Other Forms Of Deductive Reasoning

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Author : Richard L. Trammell
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-07-11

Symbolic Logic And Other Forms Of Deductive Reasoning written by Richard L. Trammell and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with categories.

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 [email protected], and you will be sent an answer key using your address at the school where you teach.

Studying Deductive Logic

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Author : Fred R. Berger
language : en
Publisher: Prentice Hall
Release Date : 1977

Studying Deductive Logic written by Fred R. Berger and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Philosophy categories.

Introduction To Logic And Logical Discourse

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Author : Satya Sundar Sethy
language : en
Publisher: Springer Nature
Release Date : 2021-06-12

Introduction To Logic And Logical Discourse written by Satya Sundar Sethy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-12 with Philosophy categories.

This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.