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.

    

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    PRESENTED BY KNOWLEDGE PRODUCTS AND NARRATED BY CHARLTON HESTON. A 2-AUDIOTAPE CASSETTE AUDIOBOOK. APPROX. 3 HOURS TIME.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C

    God's reputation has come under considerable review in recent days, with some going so far as to say that it's not we who've made a mess of things. Instead whatever it is we call God is to blame.But is such an opinion really a fair assessment?In this magisterial collection, the contemporary complaints against belief in God are addressed with intellectual passion and rigor by some of the most astute theological and philosophical minds of the day: J. P. Moreland, Paul Moser, John Polkinghorne, Michael Behe, Michael J. Murray, Alister McGrath, Paul Copan, Jerry Walls, Charles Taliaferro, Scot McKnight, Gary Habermas, Mark Mittelberg, Chad Meister, and William Lane Craig.Including an interview by Gary Habermas with noted convert to theism Antony Flew, and a direct critical response to Richard Dawkins's "God Delusion" by Alvin Plantinga, "God Is Great, God Is Good" offers convincing and compelling reassurance that though the world has changed, God has not.

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Yet psychologists and philosophers agree that these commonplace approaches to creating happiness, success, and fulfillment make critical mistakes. Stop Chasing Carrots reveals how these mistakes begin with misconceptions about happiness and then presents a philosophy of life to achieve better results.Here is the rare book that creates a philosophy of life based on scientific evidence. Replacing self-help materialism, Eastern spiritualism/minimalism, and complex but insightful psychological studies with an accessible, balanced, and realistic concept, Stop Chasing Carrots empowers readers to lead lives based on proven ideas.

    In this new edition, John Gray argues that whereas liberalism was the political theory of modernity, it is ill-equipped to cope with the dilemmas of the postmodern condition. The task now, as Gray sees it, is to develop a pluralist theory, in which the liberal problem of finding a modus vivendi among rival communities and worldviews is solved in postliberal terms.Copublished with Open University Press

    This work has played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book contains all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics.

    It forcefully argues that morality as we know it is a power structure disguised as knowledge; that law is based upon this false idol; and that thus power is, in fact, the basis of all life.www.philosopher.eufacebook.com/ontologistics

    Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.

    They lived life to the fullest, loved unashamedly, listened to their heart’s desires, and created one of the most advanced, culturally sophisticated societies ever known. Is all that now dead and buried? Or only for the professors to mull over?One classics scholar, Dr. Stephen Bertman, answers this resoundingly in The Eight Pillars of Greek Wisdom. He shows how to bring passion and excellence to the center of your daily life, as the ancient Greeks intended them to be. The lessons they learned—that life is brief and fragile and time is too precious to waste; that we do not know who we are until we discover who we can be; that we cannot undertake our voyage through life alone; that there will be obstacles along the way, but the greatest obstacle is within—led them to develop what Bertman describes as eight guiding principles of wisdom: Humanism The Pursuit of Excellence The Practice of Moderation Self-Knowledge Rationalism Restless Curiosity The Love of Freedom Individualism These eight pillars are explored in the book. Each is illuminated through vivid examples drawn from the rich heritage of classical history and mythology, including tales of gods and goddess, heroes and heroines, adventure and exploration, and self-discovery and personal triumph.