The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    Hollingdale with an introduction by Michael Tanner in Penguin Classics.Beyond Good and Evil confirmed Nietzsche's position as the towering European philosopher of his age. The work dramatically rejects the tradition of Western thought with its notions of truth and God, good and evil. Nietzsche demonstrates that the Christian world is steeped in a false piety and infected with a 'slave morality'. With wit and energy, he turns from this critique to a philosophy that celebrates the present and demands that the individual imposes their own 'will to power' upon the world.This edition includes a commentary on the text by the translator and Michael Tanner's introduction, which explains some of the more abstract passages in Beyond Good and Evil.Frederich Nietzsche (1844-1900) became the chair of classical philology at Basel University at the age of 24 until his bad health forced him to retire in 1879. He divorced himself from society until his final collapse in 1899 when he became insane. A powerfully original thinker, Nietzsche's influence on subsequent writers, such as George Bernard Shaw, D.H. Lawrence, Thomas Mann and Jean-Paul Sartre, was considerable.If you enjoyed Beyond Good and Evil you might like Nietzsche's Thus Spoke Zarathustra, also available in Penguin Classics."One of the greatest books of a very great thinker." —Michael Tanner

    This well-chosen and comprehensive collection offers a compact and affordable alternative to larger and more expensive anthologies.

    It is not a mere reorganization of the data into a new kind of library catalogue, nor another specualtive philosophy about the nature of man and language, but rather a rigorus explication of our intuitions about our language in terms of an overt axiom system, the theorems derivable from it, explicit results which may be compared with new data and other intuitions, all based plainly on an overt theory of the internal structure of languages; and it may well provide an opportunity for the application of explicity measures of simplicity to decide preference of one form over another form of grammar.

    And The Lively Art of Writing is the perfect guide to the mastery of this essential skill. It will answer all of your questions, provide you with the best techniques, and offer important information about:- Choosing a subject- Working with words- The sound of sentences- The power of paragraphs- Essentials of style- Essays, theses, and term papers- And much, much more...

    Most parents never forget the moment. But that first word is soon followed by a second and a third, and by the age of three, children are typically learning ten new words every day and speaking in complete sentences. The process seems effortless, and for children, it is. But how exactly does it happen? How do children learn language? And why is it so much harder to do later in life? Drawing on cutting-edge developments in biology, neurology, psychology, and linguistics, Charles Yang's "The Infinite Gift" takes us inside the astonishingly complex but largely subconscious process by which children learn to talk and to understand the spoken word.Yang illuminates the rich mysteries of language: why French newborns already prefer the sound of French to English; why baby-talk, though often unintelligible, makes perfect linguistic sense; why babies born deaf still babble -- but with their hands; why the grammars of some languages may be evolutionarily stronger than others; and why one of the brain's earliest achievements may in fact be its most complex.Yang also puts forth an exciting new theory. Building on Noam Chomsky's notion of a universal grammar -- the idea that every human being is born with an intuitive grasp of grammar -- Yang argues that we learn our native languages in part by unlearning the grammars of all the rest.This means that the next time you hear a child make a grammatical mistake, it may not be a mistake at all; his or her grammar may be perfectly correct in Chinese or Navajo or ancient Greek. This is the brain's way of testing its options as it searches for the local and thus correct grammar -- and then discards all the wrong ones.And we humans, Yang shows, are not the only creatures who learn this way. In fact, learning by unlearning may be an ancient evolutionary mechanism that runs throughout the animal kingdom. Thus, babies learn to talk in much the same way that birds learn to sing.Enlivened by Yang's experiences with his own young son, "The Infinite Gift" is as charming as it is challenging, as thoughtful as it is thought-provoking. An absorbing read for parents, educators, and anyone who has ever wondered about the origins of that uniquely human gift: our ability to speak and, just as miraculous, to understand one another.

    His influence on 20th-century thinking and issues is arguably unparalleled, affecting attitudes on sex, religion, art, culture, and more. Written for the layperson, Freud for Beginners explains the doctor's dogma with wit and clarity, all in a contemporary context.

    The news media–once the vaunted watchdogs of our republic–are often too timid or distracted to identify these deceptions.unSpun is the secret decoder ring for the twenty-first-century world of disinformation. Written by Brooks Jackson and Kathleen Hall Jamieson, the founders of the acclaimed website FactCheck.org, unSpun reveals the secrets of separating facts from disinformation, such as: • the warning signs of spin, hype, and bogus news• common tricks used to deceive us• how to find trustworthy and objective sources of informationTelling fact from fiction shouldn’t be a difficult task. With this book and a healthy dose of skepticism, anyone can cut through the haze of biased media reportage to be a savvier consumer and a better-informed citizen.“Read this book and you will not go unarmed into the political wars ahead of us. Jackson and Jamieson equip us to be our own truth squad, and that just might be the salvation of democracy.” –Bill Moyers“THE DEFINITIVE B.S. DETECTOR–AN ABSOLUTELY INVALUABLE GUIDEBOOK.”–Mark Shields, syndicated columnist and political analyst, NewsHour with Jim Lehrer“unSpun is an essential guide to cutting through the political fog. Just in time for the 2008 campaign, Brooks Jackson and Kathleen Hall Jamieson have written a citizen’s guide to avoiding the malarkey of partisan politics.”–Mara Liasson, NPR national political correspondent“The Internet may be a wildly effective means of communication and an invaluable source of knowledge, but it has also become a new virtual haven for scammers–financial, political, even personal. Better than anything written before, unSpun shows us how to recognize these scams and protect ourselves from them.”–Craig Newmark, founder and customer service representative, Craigslist.orgFrom the Trade Paperback edition.

    Features: - Same great Essential Elements 2000 method - 15-minute video/"super lesson" for learning the basics- Play-along mp3* tracks for all 185 exercises (featuring a professional player on your instrument)- Tempo Adjustment Software- Duets and Trios- Music Listening Library- SmartMusic Software for Exercises 1-100 (for use on PC/Mac) - practice, record, and email a performance with on-screen assessment *mp3 files will play on most current CD or DVD players Authors: Tim Lautzenheiser, John Higgins, Charles Menghini, Paul Lavender, Tom C. Rhodes, Don Bierschenk

    Written more than two decades after Democracy and Education (Dewey's most comprehensive statement of his position in educational philosophy), this book demonstrates how Dewey reformulated his ideas as a result of his intervening experience with the progressive schools and in the light of the criticisms his theories had received.Analyzing both "traditional" and "progressive" education, Dr. Dewey here insists that neither the old nor the new education is adequate and that each is miseducative because neither of them applies the principles of a carefully developed philosophy of experience. Many pages of this volume illustrate Dr. Dewey's ideas for a philosophy of experience and its relation to education. He particularly urges that all teachers and educators looking for a new movement in education should think in terms of the deeper and larger issues of education rather than in terms of some divisive "ism" about education, even such an "ism" as "progressivism." His philosophy, here expressed in its most essential, most readable form, predicates an American educational system that respects all sources of experience, one that offers a true learning situation that is both historical and social, both orderly and dynamic.

    As a professional C++ developer and former Harvard teaching fellow, I know what you need to know to be a great C++ programmer, and I know how to teach it, one step at a time. I know where people struggle, and why, and how to make it clear. I cover every step of the programming process, including:Getting the tools you need to program and how to use them*Basic language feature like variables, loops and functions*How to go from an idea to code*A clear, understandable explanation of pointers*Strings, file IO, arrays, references*Classes and advanced class design*C++-specific programming patterns*Object oriented programming*Data structures and the standard template library (STL)Key concepts are reinforced with quizzes and over 75 practice problems.

    Mill's passionate advocacy of spontaneity, individuality, and diversity, along with his contempt for compulsory uniformity and the despotism of popular opinion, has attracted both admiration and condemnation.

    The text begins with basic skills related to personal experience and then carefully progresses to the more sophisticated reasoning skills required for abstract, academic contexts. Thinking Critically introduces students to the cognitive process while teaching them to develop their higher-order thinking and language abilities. A number of distinctive characteristics make the text an effective tool for both instructors and students. Exercises, discussion topics, and writing assignments encourage active participation, stimulating students to critically examine their own and others' thinking.

    Rich illustrations, systematic resumes, and extensive citations make it a valuable references source.