In the Philosophical Investigations, his most important work, he introduces the famous 'private language argument' which changed the whole philosophical view of language. Wittgenstein and the Philosophical Investigations introduces and assesses: * Wittgenstein's life, and its connection with his thought* the text of the Philosophical Investigations* the importance of Wittgenstein's work to contemporary philosophy.

    Arguing from within the sensibility of devout liberal Hindus who do not believe in exclusive religious nationalism, Juluri argued that these writers had turned their crusade against Hindutva into an egregiously misplaced existential attack on popular Hinduism. Widely read and commented on by lay readers and academics, this important review essay is essential reading for who anyone who cares for both Hinduism and secularism today.

    It includes a new discussion of the Third Analogy, a greatly expanded discussion of Kant’s Paralogisms, and entirely new chapters dealing with Kant’s theory of reason, his treatment of theology, and the important Appendix to the Dialectic.Praise for the earlier edition:“Probably the most comprehensive and substantial study of the Critique of Pure Reason written by any American philosopher.... This is a splendid book.” —Lewis White Beck“This masterful study ... will most certainly join the canon of required reading for future interpreters of Kant’s theoretical philosophy. Superbly organized and lucidly written.” —Garrett Green, Journal of Religion

    More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you:  Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

    This book has everything you want to learn about the Hindu religion!Hinduism is a fascinating religion to learn about. Even if you are not Hindu and have no interest in being a Hindu, you can still take it upon yourself to learn about the faith and understand why it is important to so many people around the world. Perhaps you will find that you share many of the beliefs that come out of the religion, or perhaps you won’t. But at least you will have a new outlook on Hinduism by advancing your knowledge in its teachings and the way it guides so many people’s lives in this world. To have that kind of knowledge can be a very powerful thing. This book will help you gain that knowledge by exploring the most important aspects of Hinduism and the main goals Hindus have in their lives. You will find out what they are much more when you read this fact filled book about the Hindu religion. After you are done reading, you will walk away with a better understanding about a religion that most of the Western hemisphere knows little about. What you will learn from this bookIntroduction to HinduismImportant Beliefs in HinduismImportant Hindu Customs and RitualsIntroduction to Gods and Goddesses in HinduismBhagavad GitaHindu FestivalsHinduism and Buddhism – Differences and SimilaritiesConversion to HinduismWhat to do in a Hindu TemplePilgrimage to VaranasiHindu Mantras

    Widely praised for providing a lucid and historically informed account of Wittgenstein's core philosophical concerns.Demonstrates the continuity between Wittgenstein's early and later writings.Provides a persuasive argument for the unity of Wittgenstein's thought.Kenny also assesses Wittgenstein's influence in the latter part of the twentieth century.Inside:PrefaceAbbreviations in References to Works by WittgensteinBiographical Sketch of Wittgenstein's PhilosophyThe Legacy of Frege & RussellThe Criticism of PrincipiaThe Picture Theory of the PropositionThe Metaphysics of Logical AtomismThe Dismantling of Logical AtomismAnticipation, Intentionality & VerificationUnderstanding, Thinking & MeaningLanguage-GamesPrivate LanguagesOn Scepticism & CertaintyThe Continuity of Wittgenstein's PhilosophySuggestions for Further ReadingIndex

    Originally published in journals between 1884 and 1906, these 12 essays were selected by William James to illustrate the doctrine he called "radical empiricism" — a concept that made him the center of a new philosophic approach.Proclaiming experience to be the ultimate reality, James explores the applications of experience to the problem of relations, the role of feeling in experience, and the nature of truth. He argues in favor of a pluralistic universe, denying that experience can be defined in terms of an absolute force determining the relationships between things and events. Relationships, regardless of whether they hold things together or apart, are as real as the things themselves — their functions are real, and there are no hidden factors responsible for life's harmonies and dissonances.Seminal essays in this collection include "Does Consciousness Exist?: "The Essence of Humanism," and "Absolutism and Empiricism." In addition, this edition features a new translation of "On the Notion of Consciousness" — the first English rendering of the essay, which was written in French. Indispensable to an understanding of the great philosopher's other works, this systematic and compact treatment functions equally well in and out of the classroom.

    But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    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.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    Bad arguments, fallacious reasoning, misleading language, and built-in cognitive biases are all traps that keep us from rational decision making-to say nothing of advertisers and politicians who want to convince us with half-truths and empty rhetoric. The Philosopher's Toolkit: How to Be the Most Rational Person in Any Room offers the skills to do just that. Taught by award-winning Professor Patrick Grim of the State University of New York at Stony Brook, this applied philosophy course arms you against the perils of bad thinking and supplies you with an arsenal of strategies to help you be more creative, logical, inventive, realistic, and rational in all aspects of your daily life, from the office to the voting booth.

    It redirected philosophical attention to neglected questions of natural and metaphysical necessity and to the connections between these and theories of reference, in particular of naming, and of identity. From a critique of the dominant tendency to assimilate names to descriptions and more generally to treat their reference as a function of their Fregean sense, surprisingly deep and widespread consequences may be drawn. The largely discredited distinction between accidental and essential properties, both of individual things (including people) and of kinds of things, is revived. So is a consequent view of science as what seeks out the essences of natural kinds. Traditional objections to such views are dealt with by sharpening distinctions between epistemic and metaphysical necessity; in particular by the startling admission of necessary a posteriori truths. From these, in particular from identity statements using rigid designators whether of things or of kinds, further remarkable consequences are drawn for the natures of things, of people, and of kinds; strong objections follow, for example to identity versions of materialism as a theory of the mind.This seminal work, to which today's thriving essentialist metaphysics largely owes its impetus, is here published with a substantial new Preface by the author.

    In this book Plantinga presents the same ideas in a briefer, more accessible fashion. Recognized worldwide as a leading Christian philosopher, Plantinga probes what exactly is meant by the claim that religious -- and specifically Christian -- belief is irrational and cannot sensibly be held. He argues that the criticisms of such well-known atheists as Richard Dawkins, Daniel Dennett, Sam Harris, and Christopher Hitchens are completely wrong. Finally, Plantinga addresses several potential defeaters to Christian belief -- pluralism, science, evil and suffering -- and shows how they fail to successfully defeat rational Christian belief."

    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.

    Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. This book is the sequel to Paul Nahin's An Imaginary Tale: The Story of I [the square root of -1], which chronicled the events leading up to the discovery of one of mathematics' most elusive numbers, the square root of minus one. Unlike the earlier book, which devoted a significant amount of space to the historical development of complex numbers, Dr. Euler begins with discussions of many sophisticated applications of complex numbers in pure and applied mathematics, and to electronic technology. The topics covered span a huge range, from a never-before-told tale of an encounter between the famous mathematician G. H. Hardy and the physicist Arthur Schuster, to a discussion of the theoretical basis for single-sideband AM radio, to the design of chase-and-escape problems. The book is accessible to any reader with the equivalent of the first two years of college mathematics (calculus and differential equations), and it promises to inspire new applications for years to come. Or as Nahin writes in the book's preface: To mathematicians ten thousand years hence, Euler's formula will still be beautiful and stunning and untarnished by time.