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

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.

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.

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.

Would you like to have better solutions to your problems? Struggling to understand why things went wrong when you did everything right? The Art Of Thinking In Systems can help you with these problems. You think systems thinking is for politicians, and big company CEO's? Let me tell you this: a small business is a system, your class at school is a system, your family is a system. You are the element of larger systems - your town, your country, the world. These systems have a different dynamic. The more you know about their nature, the more optimal solutions you'll find to problems related to them. Systems thinking helps you see beyond simple connections, and find strategic solutions considering every actor influencing your problem. The Art Of Thinking In Systems presents the fundamental system archetypes, models, and methods with an application to real life. Know how to use systems thinking at work, in your business, in your relationship, friendships. The book also helps you to see through the hidden pathways of contemporary politics, economics, and education changes. Systems thinking opens new and exciting ways to re-invigorate your world view. It enriches your critical thinking skill, analyzing ability, clears your vision, makes you more logical and rational - just to mention a few benefits. Systems thinking's aim is not to overcomplicate your thoughts but to find better solutions to your problems. Some things in life can't be fixed with a simple "you did this so I did that" thinking. By applying conventional thinking to complex problems, we often perpetuate the very problems we try so hard to solve. Learn to think differently to get different results. -Learn about the main elements of systems thinking. -How to apply the best systems thinking ideas, models, and frameworks in your life? -What are the biggest system errors, how to detect and fix them? -How can you improve your romantic relationship with systems thinking? Over the past decades, systems thinking gained an eloquent position in science and research. Complexity, organizational pathways, networks gained more importance in our interconnected world. Just like wars are not fought with two armies standing in opposite of each other on an opened field, the answers to personal problems are more compounded, as well. -Improve your social life understanding the systemic aspects of social networks. -Useful tips how to fix financial fallouts in your business. -See through the systems of health care, education, politics, and global economics. The Art Of Thinking In Systems presents global systems theory with real life examples making it easily understandable and applicable. This book is not for Wall Street analysts but for everyday people who wish to understand their world better and make better decisions in their lives. You will be able to define your problems more accurately, design solutions more correctly, put together strategic plans, and understand the world - and your place in it - in its chaotic complexity.

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.