Symbolic Logic And Other Forms Of Deductive Reasoning

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Symbolic Logic and Other Forms of Deductive Reasoning

Author : Richard L. Trammell
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781535230773
Total Pages : 506 pages
Book Rating : 4.2/5 (37 download)

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Book Synopsis Symbolic Logic and Other Forms of Deductive Reasoning by : Richard L. Trammell

Download or read book Symbolic Logic and Other Forms of Deductive Reasoning written by Richard L. Trammell and published by Createspace Independent Publishing Platform. This book was released on 2016-07-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deductive Logic

Author : Warren Goldfarb
Publisher : Hackett Publishing
ISBN 13 : 1603845852
Total Pages : 309 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Deductive Logic by : Warren Goldfarb

Download or read book Deductive Logic written by Warren Goldfarb and published by Hackett Publishing. This book was released on 2003-09-15 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symbolic Logic

Author : David W. Agler
Publisher : Rowman & Littlefield
ISBN 13 : 1442217421
Total Pages : 397 pages
Book Rating : 4.4/5 (422 download)

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Book Synopsis Symbolic Logic by : David W. Agler

Download or read book Symbolic Logic written by David W. Agler and published by Rowman & Littlefield. This book was released on 2013 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Force of Logic

Author : Stephen M. Rice
Publisher : Aspen Publishing
ISBN 13 : 1601566107
Total Pages : 429 pages
Book Rating : 4.6/5 (15 download)

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Book Synopsis Force of Logic by : Stephen M. Rice

Download or read book Force of Logic written by Stephen M. Rice and published by Aspen Publishing. This book was released on 2017-05-03 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever read a legal opinion and come across an odd term like the fallacy of denying the antecedent, the fallacy of the undistributed middle, or the fallacy of the illicit process and wondered how you missed that in law school? You’re not alone: every day, lawyers make arguments that fatally trespass the rules of formal logic—without realizing it—because traditional legal education often overlooks imparting the practical wisdom of ancient philosophy as it teaches students how to “think like a lawyer.” In his book, The Force of Logic: Using Formal Logic as a Tool in the Craft of Legal Argument, lawyer and law professor Stephen M. Rice guides you to develop your powers of legal reasoning in a new way, through effective tips and tactics that will forever change the way you argue your cases. Rice contends that formal logic provides tools that help lawyers distinguish good arguments from bad ones and, moreover, that they are simple to learn and use. When you know how to recognize logical fallacies, you will not only strengthen your own arguments, but you will also be able to punch holes in your opponent’s—and that can make the difference between winning and losing. In this book, Rice builds on the theoretical foundation of formal logic by demonstrating logical fallacies through the use of anecdotes, examples, graphical illustrations, and exercises for you to try that are derived from common case documents. It is a hands-on primer that presents a practical approach for understanding and mastering the place of formal logic in the art of legal reasoning. Whether you are a lawyer, a judge, a scholar, or a student, The Force of Logic will inspire you to love legal argument, and appreciate its beauty and complexity in a brand new way.

Sweet Reason

Author : James M. Henle
Publisher : John Wiley & Sons
ISBN 13 : 1118078683
Total Pages : 436 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Sweet Reason by : James M. Henle

Download or read book Sweet Reason written by James M. Henle and published by John Wiley & Sons. This book was released on 2011-10-07 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sweet Reason: A Field Guide to Modern Logic, 2nd Edition offers an innovative, friendly, and effective introduction to logic. It integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. An innovative introduction to the field of logic designed to entertain as it informs Integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics Addresses contemporary applications of logic in fields such as computer science and linguistics A web-site (www.wiley.com/go/henle) linked to the text features numerous supplemental exercises and examples, enlightening puzzles and cartoons, and insightful essays

Principles of Deductive Logic

Author :
Publisher : SUNY Press
ISBN 13 : 9781438408552
Total Pages : 500 pages
Book Rating : 4.4/5 (85 download)

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Book Synopsis Principles of Deductive Logic by :

Download or read book Principles of Deductive Logic written by and published by SUNY Press. This book was released on with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deductive Logic

Author : Hugues Leblanc
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.X/5 ( download)

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Book Synopsis Deductive Logic by : Hugues Leblanc

Download or read book Deductive Logic written by Hugues Leblanc and published by Allyn & Bacon. This book was released on 1976 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopedia of the Sciences of Learning

Author : Norbert M. Seel
Publisher : Springer Science & Business Media
ISBN 13 : 1441914277
Total Pages : 3643 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Encyclopedia of the Sciences of Learning by : Norbert M. Seel

Download or read book Encyclopedia of the Sciences of Learning written by Norbert M. Seel and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 3643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences.

Logic, Deductive and Inductive

Author : Carveth Read
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.:/5 (311 download)

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Book Synopsis Logic, Deductive and Inductive by : Carveth Read

Download or read book Logic, Deductive and Inductive written by Carveth Read and published by . This book was released on 1901 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Concise Introduction to Logic

Author : Craig DeLancey
Publisher : Open SUNY Textbooks
ISBN 13 : 9781942341437
Total Pages : pages
Book Rating : 4.3/5 (414 download)

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Book Synopsis A Concise Introduction to Logic by : Craig DeLancey

Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic for Philosophy

Author : Theodore Sider
Publisher : Oxford University Press
ISBN 13 : 0192658816
Total Pages : 305 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Logic for Philosophy by : Theodore Sider

Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

Socratic Logic 3e Pbk

Author : Peter Kreeft
Publisher : St Augustine PressInc
ISBN 13 : 9781587318078
Total Pages : 399 pages
Book Rating : 4.3/5 (18 download)

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Book Synopsis Socratic Logic 3e Pbk by : Peter Kreeft

Download or read book Socratic Logic 3e Pbk written by Peter Kreeft and published by St Augustine PressInc. This book was released on 2010-01-12 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fallacy Detective

Author : Nathaniel Bluedorn
Publisher :
ISBN 13 : 9780974531595
Total Pages : 260 pages
Book Rating : 4.5/5 (315 download)

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Book Synopsis The Fallacy Detective by : Nathaniel Bluedorn

Download or read book The Fallacy Detective written by Nathaniel Bluedorn and published by . This book was released on 2015-04-04 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fallacy Detective has been the best selling text for teaching logical fallacies and introduction to logic for over 15 years. "Can learning logic be fun? With The Fallacy Detective it appears that it can be. I thoroughly enjoyed this book and would recommend it to anyone who wants to improve his reasoning skills."--Tim Challies, curriculum reviewer "Cartoon and comic illustrations, humorous examples, and a very reader-friendly writing style make this the sort of course students will enjoy."--Cathy Duffy, homeschool curriculum reviewer "I really like The Fallacy Detective because it has funny cartoons, silly stories, and teaches you a lot!"--11 Year Old What is a fallacy? A fallacy is an error in logic a place where someone has made a mistake in his thinking. This is a handy book for learning to spot common errors in reasoning. - For ages twelve through adult. - Fun to use -- learn skills you can use right away. - Peanuts, Dilbert, and Calvin and Hobbes cartoons. - Includes The Fallacy Detective Game. - Exercises with answer key.

Symbolic Logic

Author : John Venn
Publisher : BoD – Books on Demand
ISBN 13 : 3385453607
Total Pages : 490 pages
Book Rating : 4.3/5 (854 download)

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Book Synopsis Symbolic Logic by : John Venn

Download or read book Symbolic Logic written by John Venn and published by BoD – Books on Demand. This book was released on 2024-05-05 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Logic

Author : Alfred Tarski
Publisher : Courier Corporation
ISBN 13 : 0486318893
Total Pages : 271 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Introduction to Logic by : Alfred Tarski

Download or read book Introduction to Logic written by Alfred Tarski and published by Courier Corporation. This book was released on 2013-07-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Elements of Formal Logic

Author : G. E. Hughes
Publisher : Routledge
ISBN 13 : 1000737047
Total Pages : 354 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis The Elements of Formal Logic by : G. E. Hughes

Download or read book The Elements of Formal Logic written by G. E. Hughes and published by Routledge. This book was released on 2019-11-04 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deductive Logic in Natural Language

Author : Douglas Cannon
Publisher : Broadview Press
ISBN 13 : 1460400836
Total Pages : 306 pages
Book Rating : 4.4/5 (64 download)

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Book Synopsis Deductive Logic in Natural Language by : Douglas Cannon

Download or read book Deductive Logic in Natural Language written by Douglas Cannon and published by Broadview Press. This book was released on 2002-11-13 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.