H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

    Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.

    We cannot choose to avoid philosophy, we can only choose whether we understand it or not. Stefan Molyneux, host of Freedomain Radio – the largest and most popular philosophy show in the world, with over 600 million views and downloads – takes you on a spectacular journey through the most foundational philosophical questions of the ages, clearing up and clarifying the most thorny problems posed by philosophers throughout history: -How do we know what is real? -How do we know what is true? -How do we know what is right? -How do we know what is good? -How do we know we even have a choice? -How do we convince others? These are all questions that we – as individuals and societies – wrestle with every day. These questions have challenged, motivated and plagued mankind for thousands of years. “Essential Philosophy” answers these questions with rigourous, illuminating and entertaining logic, reasoning from deep first principles to spectacular final conclusions. There is no need for confusion, there is no need for despair, there is no need for fear – pick up this book now, absorb the true power of philosophy, and live a rational moral life to the fullest. And then, give “Essential Philosophy” to others, so that the world may one day live in reason and peace.

    A System of Logic is the first major installment of his comprehensive restatement of an empiricist and utilitarian position. It begins the attack on ""intuitionism"" which Mill carried on throughout his life, and makes plain his belief that social planning and political action should rely primarily on scientific knowledge, not on authority, custom, revelation, or prescription.Contents Include: OF NAMES AND PROPOSITIONS Of the Necessity of commencing with an Analysis of Language Of Names Of the Things denoted by Names Of Proposition Of the Import of Propositions Of Propositions merely Verbal Of the nature of Classification and the five Predicables Of Definition OF REASONING Of Inference, or Reasoning in General Of Ratiocination, or Syllogism Of the Functions, and logical Values of Syllogism Of trains of Reasoning and Deductive Sciences Of Demonstration and Necessary truths OF INDUCTION Observations on Induction in General On the Ground of Induction Of the Laws of Nature Of The Law of Universal Causation Of The Composition of Causes Of Observation and Experiment, Four Methods of Experimental Enquiry Miscellaneous Examples Plurality of Causes Of the Deductive Method Explanation of Laws of Nature. Keywords: Knowledge, Theory of Logic Science Methodology

    Paperback ISBN-9780205776993 Used only one semester. no writing or highlight. ship fast

    English textbook.

    But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.

    In the early part of the work, Gretchen and her friends consider whether evil provides a problem for those who believe in the perfection of God. As the discussion continues they consider the nature of human evil—whether, for example, fully rational actions can be intentionally evil. Recurring themes are the distinction between natural evil and evil done by free agents, and the problems the Holocaust and other cases of genocide pose for conceptions of the universe as a basically good place, or humans as basically good beings. Once again, Perry’s ability to get at the heart of matters combines with his exemplary skill at writing the dialogue form. An ideal volume for introducing students to the subtleties and intricacies of philosophical discussion.

    We want to know! We want to know the purpose of our life, why we are here on earth, where we came from, whether there is a God, who this God is, whether there is an afterlife, and so much more! These most basic and fundamental questions are hopefully in the forefront of our minds. And if they are not, it's never too late to start! This book offers some of the answers to these questions. It offers the answers found is our Creed. At first, the Creed can seem dry and unimpressive. It can even seem confusing and overly academic. But when properly understood, the Creed holds the answer to the questions we so deeply seek.

    Osho responds to a question about the right way to help children to grow without interfering in their natural potentiality.

    The collected teachings of The Golden One.Dauntless: The Wild Hunt Edition (2021) is a greatly updated version of this book.

    

    His uniqueness lies not only in the fact that at the young age of 19 and a half, he travelled to snow clad Himalayas from Kerala, and there he met and lived for several years with a ‘real-time’ yogi, Babaji, but also that he should undertake such an unusual and adventurous exploration, given his non-Hindu birth and antecedents.The metamorphosis of Mumtaz Ali Khan into Sri ‘M’, a yogi with profound knowledge of the Upanishads and deep personal insights, born of first hand experiences with higher levels of consciousness is indeed a fascinating story.The bonus for those interested in the secrets of yoga, meditation and sankhyan metaphysics is that Sri ‘M’ is still living and easily reachable. He leads a normal life, married with two children, wears no special robes and conducts himself without pomp or paraphernalia.Someone who met him recently said, “I expected a flashy godman and instead I saw a jean clad gentleman with a smile of his face, ready to discuss my problems. In five minutes flat, I said to myself, this is no ordinary man. The peace and tranquility that enters your system is tangible”.

    Now at your fingertips. The Mahabharata is the world's longest epic. It contains within it numerous fables, anecdotes and pieces of practical wisdom that make up what we today call Indian culture.Two thousand tales from this ocean of Vedic literature are now being retold for your reading pleasure. Crisp, comprehensive, contextual.In this volume you will find stories such as:- The three disciples of Dhaumya the sage- The strange adventures of Uttanka- The tortoise that fought with an elephant over years by a lake- How Sesha came to become the supporter of Mother Earth- Who the second Indra was and how he was 'defeated'And many more. Whether you're a casual reader of mythology or a die-hard fanatic, this is a must-read.