In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    This book is the catechism (the word means "instruction") that will serve as the standarad for all future catechisms.The Catechism draws on the Bible, the Mass, the Sacraments, Church tradition and teaching, and the lives of saints. It comes with a complete index, footnotes and cross-references for a fuller understanding of every subject. Using the tradition of explaining what the Church believes (the Creed), what she celebrates (the Sacraments), what she lives (the Commandments), and what she prays (the Lord's Prayer), the Catechism of the Catholic Church offers challenges for believers and answers for all those interested in learning about the mystery of the Catholic faith. Here is a positive, coherent and contemporary map for our spiritual journey toward transformation.The Catechism of the Catholic Church is, as Pope John Paul II calls it, "a special gift."

    Using easy instructions and simple objects such as beans, blocks, pennies, buttons, and string, parents and kids solve problems together. FAMILY MATH is a rich resource of math curriculum including number and estimation, logical thinking, probability and statistics, geometry, measurement, and calculators. The stimulating games, puzzles, and projects entice kids in playful ways to master math concepts. Because this book reinforces the basic school curriculum, it is also a must for teachers. The book has a step-by-step description of how to organize a FAMILY MATH class in your community. For families with children five to twelve years old. Grades K-8. 318 pp

    Walk through the liturgical year, the sacraments of the church, habits of daily prayer, and the teachings of Anglican Christianity. See how our prayer shapes our belief and our lives and how our beliefs lead us into a deeper relationship with Jesus Christ.

    As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.

    The information presented includes: definitions, names, historical background, coordinates, classifications, physical descriptions, maps, charts, sketches, and observing guides. All told in an engaging manner.The series became an instant success with amateur astronomers, and remained so for decades. While it is now dated, it is still a popular source of information.Volume One lists the constellations from Andromeda to Cetus.

    It uses case studies, practice features, basic developmental issues tables, trends tables and observation guidelines tables.

    Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

    She has given homeschoolers a valuable tool for putting together a "liberal arts" curriculum that feeds the soul, as well as the intellect. Her approach, covering grades K - 12, is detailed and practical, and it is adaptable by parents and teachers to any situation.This third revised edition includes a much expanded section for a high school curriculum, and an updated list of resources for all grades.

    Strum a different song every day with easy arrangements of 365 of your favorite songs in one big songbook! The Daily Ukulele features ukulele arrangements with melody, lyrics and uke chord grids and are in ukulele-friendly keys that are particularly suited for groups of one to one hundred to play and sing. Includes favorites by the Beatles, Beach Boys and Bob Dylan, folk songs, pop songs, kids' songs, Christmas carols and Broadway and Hollywood tunes, all with a spiral binding for ease of use. Also features a Tips & Techniques section, chord chart, and vintage ukulele-themed photos and art throughout. The Daily Ukulele offers ukulele fun all year long!

    Fully updated and revised to deal with recent changes to the GMAT, they were designed with a content-based approach.The Critical Reasoning Guide demystifies critical reasoning by teaching a clear, consistent, and effective approach to understanding an argument’s logic and choosing the best answer to the given question. Unlike other guides that attempt to convey everything in a single tome, the Critical Reasoning Strategy Guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth. Used by itself or with other Manhattan GMAT Strategy Guides, the Critical Reasoning Guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes one year of access to Manhattan GMAT’s online computer-adaptive practice exams and Critical Reasoning Question Bank. All of Manhattan Prep’s GMAT Strategy Guides are aligned with both the 2015 Edition and 13th Edition GMAC Official Guide.

    Gonick’s The Cartoon Guide to Calculus is a refreshingly humorous, remarkably thorough guide to general calculus that, like his earlier Cartoon Guide to Physics and Cartoon History of the Modern World, will prove a boon to students, educators, and eager learners everywhere.

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    Your guide to a higher math score on standardized tests*SATACT(R)ASVABGMAT(R)GRE(R)CBEST(R)PRAXIS I(R)GED(R) And More!Why CliffsNotes?Go with the name you know and trustGet the information you need-fast!About the Contents:IntroductionHow to use this bookOverview of the examsPart I: Basic Skills ReviewArithmetic and Data AnalysisAlgebraPart II: Strategies and PracticeMathematical AbilityQuantitative ComparisonData SufficiencyEach section includes a diagnostic test, explanations of rules, concepts withexamples, practice problems with complete explanations, a review test, and aglossary!Test-Prep Essentials from the Experts at CliffsNotes(R)For more test-prep help, visit CliffsNotes.com(R)*SAT is a registered trademark of the College Board, which was not involved inthe production of, and does not endorse, this product.