The Art of Logic in an Illogical World

The Art of Logic in an Illogical World PDF

Author: Eugenia Cheng

Publisher: Basic Books

Published: 2018-09-11

Total Pages: 321

ISBN-13: 154167250X

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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 Art of Thinking

The Art of Thinking PDF

Author: Silvano Borruso

Publisher:

Published: 2016-03-21

Total Pages: 184

ISBN-13: 9780995087606

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There are three parts: acquiring factual knowledge, examining what has been acquired by the rigorous application of understanding and finally transforming that understanding into wisdom. Amply illustrated with examples, it dispels myths and even has a chapter on cooking - intelligently. It illustrates the liberating power of truth.

Logical Methods

Logical Methods PDF

Author: Roger Antonsen

Publisher: Springer

Published: 2021-02-11

Total Pages: 288

ISBN-13: 9783030637767

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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.

Logic and the Art of Memory

Logic and the Art of Memory PDF

Author: Paolo Rossi

Publisher: University of Chicago Press

Published: 2000-12-15

Total Pages: 361

ISBN-13: 0226728269

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The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, Logic and the Art of Memory Italian philosopher and historian Paolo Rossi argues that this view is belied by an examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book (originally titled Clavis Universalis) remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, Logic and the Art of Memory documents an essential chapter in the development of human reason.

The Art of Thinking Clearly

The Art of Thinking Clearly PDF

Author: Rolf Dobelli

Publisher: Harper Collins

Published: 2014-05-06

Total Pages: 269

ISBN-13: 0062359800

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A world-class thinker counts the 100 ways in which humans behave irrationally, showing us what we can do to recognize and minimize these “thinking errors” to make better decisions and have a better life Despite the best of intentions, humans are notoriously bad—that is, irrational—when it comes to making decisions and assessing risks and tradeoffs. Psychologists and neuroscientists refer to these distinctly human foibles, biases, and thinking traps as “cognitive errors.” Cognitive errors are systematic deviances from rationality, from optimized, logical, rational thinking and behavior. We make these errors all the time, in all sorts of situations, for problems big and small: whether to choose the apple or the cupcake; whether to keep retirement funds in the stock market when the Dow tanks, or whether to take the advice of a friend over a stranger. The “behavioral turn” in neuroscience and economics in the past twenty years has increased our understanding of how we think and how we make decisions. It shows how systematic errors mar our thinking and under which conditions our thought processes work best and worst. Evolutionary psychology delivers convincing theories about why our thinking is, in fact, marred. The neurosciences can pinpoint with increasing precision what exactly happens when we think clearly and when we don’t. Drawing on this wide body of research, The Art of Thinking Clearly is an entertaining presentation of these known systematic thinking errors--offering guidance and insight into everything why you shouldn’t accept a free drink to why you SHOULD walk out of a movie you don’t like it to why it’s so hard to predict the future to why shouldn’t watch the news. The book is organized into 100 short chapters, each covering a single cognitive error, bias, or heuristic. Examples of these concepts include: Reciprocity, Confirmation Bias, The It-Gets-Better-Before-It-Gets-Worse Trap, and the Man-With-A-Hammer Tendency. In engaging prose and with real-world examples and anecdotes, The Art of Thinking Clearly helps solve the puzzle of human reasoning.

Art of Reasoning: An Introduction to Logic and Critical Thinking

Art of Reasoning: An Introduction to Logic and Critical Thinking PDF

Author: David Kelley

Publisher: W. W. Norton

Published: 2013-10

Total Pages: 626

ISBN-13: 9780393740080

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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.

The Art Of Logical Thinking Or The Laws Of Reasoning

The Art Of Logical Thinking Or The Laws Of Reasoning PDF

Author: William Walker Atkinson

Publisher: Prabhat Prakashan

Published: 2024-05-29

Total Pages: 110

ISBN-13:

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Enhance your logical thinking skills with "The Art Of Logical Thinking Or The Laws Of Reasoning" by William Walker Atkinson, a comprehensive guide that explores the principles and techniques of effective reasoning and logical analysis. Immerse yourself in Atkinson's teachings as he unveils the art of thinking critically and making sound decisions. As the pages unfold, delve into the art of logical thinking, covering aspects from deductive and inductive reasoning to the laws that govern effective thought processes. William Walker Atkinson provides readers with practical exercises and insights to sharpen their logical thinking skills, offering a valuable resource for anyone seeking to enhance their cognitive abilities. But here's a question that resonates with those aiming to improve their logical thinking: What are the key laws and principles that govern logical reasoning, and how can individuals apply these laws to everyday decision-making and problem-solving? Reflect on the transformative teachings presented by Atkinson, prompting contemplation on the practical applications of logical thinking in various aspects of life. Experience the art of logical thinking with "The Art Of Logical Thinking." Short, instructive paragraphs guide you through Atkinson's principles, encouraging you to embrace the practices that can lead to improved reasoning and more effective decision-making. Are you ready to unlock the art of logical thinking and enhance your cognitive abilities? Join William Walker Atkinson on a logical exploration through the pages of "The Art Of Logical Thinking" and discover the keys to thinking critically and making informed decisions. Open the doors to a world of improved reasoning. Purchase "The Art Of Logical Thinking" now, and let Atkinson's timeless wisdom be your guide on the journey to developing logical thinking skills that can be applied in various aspects of your life. Seize the opportunity to own a piece of cognitive brilliance. Embrace the art of logical thinking with "The Art Of Logical Thinking" and let Atkinson's insights inspire you to approach challenges and decisions with a sharper and more logical mind.