The Art of Logical Thinking

The Art of Logical Thinking

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  • Author: William Walker Atkinson
  • Publisher: Bibliotech Press
  • ISBN:
  • Category : Logic
  • Languages : en
  • Pages : 212

CONTENTS I Reasoning II The Process of Reasoning III The Concept IV The Use of Concepts V Concepts and Images VI Terms VII The Meaning of Terms VIII Judgments IX Propositions X Immediate Reasoning XI Inductive Reasoning XII Reasoning by Induction XIII Theory and Hypotheses XIV Making and Testing Hypotheses XV Deductive Reasoning XVI The Syllogism XVII Varieties of Syllogisms XVIII Reasoning by Analogy XIX Fallacies


The Art of Logic in an Illogical World

The Art of Logic in an Illogical World

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  • Author: Eugenia Cheng
  • Publisher: Basic Books
  • ISBN: 154167250X
  • Category : Mathematics
  • Languages : en
  • Pages : 321

How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.


The Power of Logical Thinking

The Power of Logical Thinking

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  • Author: Marilyn vos Savant
  • Publisher: Macmillan
  • ISBN: 9780312156275
  • Category : Language Arts & Disciplines
  • Languages : en
  • Pages : 232

Argues that Americans must improve their understanding of probability and logic.


Logic as a Liberal Art

Logic as a Liberal Art

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  • Author: R. E. Houser
  • Publisher: Catholic University of America Press
  • ISBN: 0813232341
  • Category : Philosophy
  • Languages : en
  • Pages : 481

In the twenty-first century there are two ways to study logic. The more recent approach is symbolic logic. The history of teaching logic since World War II, however, casts doubt on the idea that symbolic logic is best for a first logic course. Logic as a Liberal Art is designed as part of a minority approach, teaching logic in the "verbal" way, in the student's "natural" language, the approach invented by Aristotle. On utilitarian grounds alone, this "verbal" approach is superior for a first course in logic, for the whole range of students. For millennia, this "verbal" approach to logic was taught in conjunction with grammar and rhetoric, christened the trivium. The decline in teaching grammar and rhetoric in American secondary schools has led Dr. Rollen Edward Houser to develop this book. The first part treats grammar, rhetoric, and the essential nature of logic. Those teachers who look down upon rhetoric are free, of course, to skip those lessons. The treatment of logic itself follows Aristotle's division of the three acts of the mind (Prior Analytics 1.1). Formal logic is then taken up in Aristotle's order, with Parts on the logic of Terms, Propositions, and Arguments. The emphasis in Logic as a Liberal Art is on learning logic through doing problems. Consequently, there are more problems in each lesson than would be found, for example, in many textbooks. In addition, a special effort has been made to have easy, medium, and difficult problems in each Problem Set. In this way the problem sets are designed to offer a challenge to all students, from those most in need of a logic course to the very best students.


Being Logical

Being Logical

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  • Author: D.Q. McInerny
  • Publisher: Random House Trade Paperbacks
  • ISBN: 0812971159
  • Category : Reference
  • Languages : en
  • Pages : 162

An essential tool for our post-truth world: a witty primer on logic—and the dangers of illogical thinking—by a renowned Notre Dame professor Logic is synonymous with reason, judgment, sense, wisdom, and sanity. Being logical is the ability to create concise and reasoned arguments—arguments that build from given premises, using evidence, to a genuine conclusion. But mastering logical thinking also requires studying and understanding illogical thinking, both to sharpen one’s own skills and to protect against incoherent, or deliberately misleading, reasoning. Elegant, pithy, and precise, Being Logical breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. D. Q. McInerney covers the sources of illogical thinking, from naïve optimism to narrow-mindedness, before dissecting the various tactics—red herrings, diversions, and simplistic reasoning—the illogical use in place of effective reasoning. An indispensable guide to using logic to advantage in everyday life, this is a concise, crisply readable book. Written explicitly for the layperson, McInerny’s Being Logical promises to take its place beside Strunk and White’s The Elements of Style as a classic of lucid, invaluable advice. Praise for Being Logical “Highly readable . . . D. Q. McInerny offers an introduction to symbolic logic in plain English, so you can finally be clear on what is deductive reasoning and what is inductive. And you’ll see how deductive arguments are constructed.”—Detroit Free Press “McInerny’s explanatory outline of sound thinking will be eminently beneficial to expository writers, debaters, and public speakers.”—Booklist “Given the shortage of logical thinking, And the fact that mankind is adrift, if not sinking, It is vital that all of us learn to think straight. And this small book by D.Q. McInerny is great. It follows therefore since we so badly need it, Everybody should not only but it, but read it.” —Charles Osgood


Art of Reasoning: An Introduction to Logic and Critical Thinking

Art of Reasoning: An Introduction to Logic and Critical Thinking

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  • Author: David Kelley
  • Publisher: W. W. Norton
  • ISBN: 9780393740080
  • Category : Philosophy
  • Languages : en
  • Pages : 626

Students learn logic by practicing it by working through problems, analyzing existing arguments, and constructing their own arguments in plain language and symbolic notation. The Art of Reasoning not only introduces the principles of critical thinking and logic in a clear, accessible, and logical manner thus practicing what it preaches but it also provides ample opportunity for students to hone their skills and master course content.


Logical Methods

Logical Methods

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  • Author: Roger Antonsen
  • Publisher: Springer
  • ISBN: 9783030637767
  • Category : Computers
  • Languages : en
  • Pages : 288

Many believe mathematics is only about calculations, formulas, numbers, and strange letters. But mathematics is much more than just crunching numbers or manipulating symbols. Mathematics is about discovering patterns, uncovering hidden structures, finding counterexamples, and thinking logically. Mathematics is a way of thinking. It is an activity that is both highly creative and challenging. This book offers an introduction to mathematical reasoning for beginning university or college students, providing a solid foundation for further study in mathematics, computer science, and related disciplines. Written in a manner that directly conveys the sense of excitement and discovery at the heart of doing science, its 25 short and visually appealing chapters cover the basics of set theory, logic, proof methods, combinatorics, graph theory, and much more. In the book you will, among other things, find answers to: What is a proof? What is a counterexample? What does it mean to say that something follows logically from a set of premises? What does it mean to abstract over something? How can knowledge and information be represented and used in calculations? What is the connection between Morse code and Fibonacci numbers? Why could it take billions of years to solve Hanoi's Tower? Logical Methods is especially appropriate for students encountering such concepts for the very first time. Designed to ease the transition to a university or college level study of mathematics or computer science, it also provides an accessible and fascinating gateway to logical thinking for students of all disciplines.


The Art of Logical Thinking

The Art of Logical Thinking

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  • Author: William Walker Atkinson
  • Publisher:
  • ISBN: 9788192190679
  • Category : Logic
  • Languages : en
  • Pages : 124


The Art of Logical Thinking; Or, The Laws of Reasoning

The Art of Logical Thinking; Or, The Laws of Reasoning

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  • Author: William Walker Atkinson
  • Publisher:
  • ISBN:
  • Category : Logic
  • Languages : en
  • Pages : 202


Antoine Arnauld and Pierre Nicole: Logic Or the Art of Thinking

Antoine Arnauld and Pierre Nicole: Logic Or the Art of Thinking

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  • Author: Antoine Arnauld
  • Publisher: Cambridge University Press
  • ISBN: 9780521483940
  • Category : Philosophy
  • Languages : en
  • Pages : 328

A new translation of the treatise which inspired modern developments in logic and semantic theory.