A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    Throughout his life, Churchill painted to relieve his mind from the demands of leadership—and to stave off depression. Included in this volume are Churchill’s meditations on painting as a salve for the spirit and an important method of relaxation—particularly for people under considerable stress over a long period of time. In addition, it includes 18 reprints of Churchill’s original work in oil, giving the reader a window into the little-known creative and artistic talent of this prominent figure in contemporary history. ABOUT THE AUTHOR Sir Winston Churchill was awarded the Nobel Prize in Literature in 1953 “for his mastery of historical and biographical description as well as for brilliant oratory in defending exalted human values.” Over a 64-year span, Churchill published over 40 books, many multi-volume definitive accounts of historical events to which he was a witness and participant. All are beautifully written and as accessible and relevant today as when first published. During his fifty-year political career, Churchill served twice as Prime Minister in addition to other prominent positions—including President of the Board of Trade, First Lord of the Admiralty, Chancellor of the Exchequer, and Home Secretary. In the 1930s, Churchill was one of the first to recognize the danger of the rising Nazi power in Germany and to campaign for rearmament in Britain. His leadership and inspired broadcasts and speeches during World War II helped strengthen British resistance to Adolf Hitler—and played an important part in the Allies’ eventual triumph. One of the most inspiring wartime leaders of modern history, Churchill was also an orator, a historian, a journalist, and an artist. All of these aspects of Churchill are fully represented in this collection of his works. ABOUT THE SERIES When the Conservative government was defeated in Britain’s 1929 general election, Winston Churchill was exiled from the party—chiefly because of his disagreements with party leaders over Indian Home Rule and protective tariffs, as well as his connections with financiers, press barons, and others who were not trusted by Conservative leadership. This period, between 1929 and 1939, came to be known as Churchill’s “wilderness years.” During this time, he focused on his writing—and served as an important voice for British armament against the rise of Hitler. Many of his works published during this time—including collections of newspaper articles and one very rare short story—are considered lost classics in the Churchill canon.

    From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

    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.

    Through careful use of modern examples and engaging activities, this text provides an accessible, readable, student-centred guide to Descartes' Meditations, which is a set text for AQA AS Philosophy.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

    In telling the story of one master’s training and evolution in the Himalayas and his subsequent mission to his countrymen, the author enlightens you on the essence of India’s culture, philosophy and religion. His story will surely educate you, inspire you, and broaden your horizons of the meaning of life.The Swami spent five years in the Himalayas under the tutelage of two incredible Masters of live, as different as day and night. Although both were scholars of the scriptures, their manifestation was unique. One was an incredible streak of light and energy who traveled India teaching, then created a huge ashram center to serve all of humanity. The other was a quiet contemplative recluse who sang inspirational songs and taught only a few students.Swami Chinmayananda appeared on the scene at an appropriate time in Indian history. The British had just left the country with no one trained to take the helm of State. The British had taken all the top government positions. In addition, they had curtailed any industrial development; the Empire was about having consumers for British products. The Indians had lost their moorings: economically, spiritually and personally. To these countrymen, beaten down by 150 years of British rule, repression and slavery, the Swami gave a message of hope. He worked relentlessly for about 40 years to bring about a spiritual revival in India and abroad. His unique style and logical approach was appreciated by everyone from college students to bankers to priests—both Hindu and Christian.By teaching directly the wisdom of their ancient scriptures, he gave the listeners confidence and inspiration to move forward in business and in creating charitable endeavors for the uplifting of the downtrodden of the country. Through 200 centers in India, his devotees have built and operate schools, hospitals and clinics, nursing homes, retirement homes and training centers for nurses and teachers, as well as spiritual training centers.This story of the legacy of one of the most influential persons in the modern history of Hinduism is sure to surprise you, amaze you—and inspire you.

    This is an irresistible guide to clear thinking and understanding of the art of debate.

    Indeed, logic goes to the very core of what we mean by human intelligence. In this concise, crisply readable book, distinguished professor D. Q. McInerny offers an indispensable guide to using logic to advantage in everyday life. 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. As McInerny notes, logic is a deep, wide, and wonderfully varied field, with a bearing on every aspect of our intellectual life. A mastery of logic begins with an understanding of right reasoning–and encompasses a grasp of the close kinship between logical thought and logical expression, a knowledge of the basic terms of argument, and a familiarity with the pitfalls of illogical thinking. Accordingly, McInerny structures his book in a series of brief, penetrating chapters that build on one another to form a unified and coherent introduction to clear and effective reasoning.At the heart of the book is a brilliant consideration of argument–how an argument is founded and elaborated, how it differs from other forms of intellectual discourse, and how it critically embodies the elements of logic. McInerny teases out the subtleties and complexities of premises and conclusions, differentiates statements of fact from statements of value, and discusses the principles and uses of every major type of argument, from the syllogistic to the conditional. In addition, he provides an incisive look at illogical thinking and explains how to recognize and avoid the most common errors of logic.Elegant, pithy, and precise, Being Logical breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. Whether you are a student or a teacher, a professional sharpening your career skills or an amateur devoted to the fine points of thought and expression, you are sure to find this brief guide to effecting reasoning both fascinating and illuminating.From the Hardcover edition.

    There really are no ultimate authority figures-no one has the secret and there is no place to look up the definitive answers to our questions (not even Google). But, by thinking skeptically and logically, we can combat sloppy reasoning, bad arguments and superstitious thinking. It's difficult, and takes a lot of vigilance, but it's worth the effort.In this tie-in to their incredibly popular "The Skeptics Guide to the Universe" podcast, Steven Novella, MD along with "Skeptical Rogues" Bob Novella, Cara Santa Maria, Jay Novella, and Evan Bernstein will explain the tenets of skeptical thinking and debunk some of the biggest scientific myths, fallacies and conspiracy theories (Anti-vaccines, homeopathy, UFO sightings, etc.) They'll help us try to make sense of what seems like an increasingly crazy world using powerful tools like science and philosophy. THE SKEPTICS' GUIDE TO THE UNIVERSE is your guide through this maze of modern life. It covers essential critical thinking skills, as well as giving insight into how your brain works and how to avoid common pitfalls in thinking. They discuss the difference between science and pseudoscience, how to recognize common science news tropes, how to discuss conspiracy theories with that crazy coworker of yours, and how to apply all of this to everyday life.So, are you ready to join them on an epic scientific quest, one that has taken us from huddling in dark caves to stepping foot on the Moon? (Yes, we really did that.) Like all adventures, this one is foremost a journey of self discovery. The monsters you will slay and challenges you will face are mostly constructs of your own mind. With the SKEPTIC'S GUIDE TO THE UNIVERSE, we can do this together.

    It aim is nothing less than insight into insight itself, a comprehensive view of knowledge and understanding, and to state what one needs to understand and how one proceeds to understand it.In Lonergan's own words: 'Thoroughly understand what it is to understand, and not only will you understand the broad lines of all there is to be understood but also you will possess a fixed base, and invariant pattern, opening upon all further developments of understanding.'The editors of the Collected Works of Bernard Lonergan have established the definitive text for Insight after examining all the variant forms in Lonergan's manuscripts and papers. The volume includes introductory material and annotation to enable the reader to appreciate more fully this challenging work.

    Taking an innovative and secular approach to business Ethics, moral fiber shows us how living our values unlocks a more purposeful life and career. This book helps us to re-discover the inherent core values, such as fairness, respect, compassion, and honesty, and then how to genuinely Act on them daily.This practical guide is filled with tips, tales, and tools to identify and eliminate toxic behaviors and motivators, as well as priceless lessons from top industry leaders and powerful research from academics. TESTIMONIALS“[Shawn] shares with us how compassion, gratitude and wisdom opens our inner door, unlocking a more purposeful life and career.” — HIS HOLINESS THE DALAI LAMA“Moral Fiber takes us on a beautiful journey of how capitalism and compassion must co-exist to improve our human condition.” — JOHN MACKEY, CO-FOUNDER AND CEO, WHOLE FOODS MARKET“At a time of great uncertainty, Moral Fiber is a welcome tonic and an authentic reminder of how having capitalism with compassion elevates us all.” — JENNIFER REINGOLD, FORMER MANAGEMENT WRITER, FORTUNE MAGAZINE, FAST COMPANY AND BUSINESSWEEK“Moral Fiber drops us head-first into a world of awakening.” — THOMAS DONALDSON, PROFESSOR OF BUSINESS ETHICS, WHARTON SCHOOL, UNIVERSITY OF PENNSYLVANIA“In Moral Fiber, Vij creatively shows us how our core values can be a key to personal happiness and professional success.” — HOWARD C. CUTLER, M.D., NEW YORK TIMES BEST SELLING AUTHOR OF THE ART OF HAPPINESS