This book provides a systematic approach to knowledge representation, computation, and learning using higher-order logic. For those interested in computational logic, it provides a framework for knowledge representation and computation based on higher-order logic, and demonstrates its advantages over more standard approaches based on first-order logic. For those interested in machine learning, the book explains how higher-order logic provides suitable knowledge representation formalisms and hypothesis languages for machine learning applications.

"English is so illogical!" It is generally believed that English is a language of exceptions. For many, learning to spell and read is frustrating. For some, it is impossible... especially for the 29% of Americans who are functionally illiterate. But what if the problem is not the language itself, but the rules we were taught? What if we could see the complexity of English as a powerful tool rather than a hindrance? --Denise Eide Uncovering the Logic of English challenges the notion that English is illogical by systematically explaining English spelling and answering questions like "Why is there a silent final E in have, large, and house?" and "Why is discussion spelled with -sion rather than -tion?" With easy-to-read examples and anecdotes, this book describes: - the phonograms and spelling rules which explain 98% of English words - how English words are formed and how this knowledge can revolutionize vocabulary development - how understanding the reasons behind English spelling prevents students from needing to guess The author's inspiring commentary makes a compelling case that understanding the logic of English could transform literacy education and help solve America's literacy crisis. Thorough and filled with the latest linguistic and reading research, Uncovering the Logic of English demonstrates why this systematic approach should be as foundational to our education as 1+1=2.

A simple, illustrated textbook for children which teaches them the basic rules of logic.

Presents techniques for teaching based on the "Love and Logic" philosophy of working with children.

Completely revised and updated for Logic Pro X, this Apple-certified guide shows you how to record, produce, and polish music files with Apple’s professional audio software. Veteran music producer David Nahmani’s step-by-step, instructions teach you everything from basic music creation to advanced production techniques using Logic’s software synthesizers, samplers, and digital signal processors. Learn about all of the key features in Logic Pro X including Flex Pitch, Drummer, Drum Kit Designer, Track Stacks, MIDI Effects, and more. Using the book’s online files and Logic Pro X, you’ll begin making music in the first lesson. Whether you’re looking to use your computer as a digital recording studio, create musical compositions, or transfer that song in your head into music you can share, this comprehensive book will show you how. Lesson and media files available online Focused lessons take you step-by-step through professional, real-world projects Accessible writing style puts an expert instructor at your side Ample illustrations and keyboard shortcuts help you master techniques fast Lesson goals and time estimates help you plan your time Chapter review questions summarize what you’ve learned and prepare you for the Apple Certifi ed Pro Exam

The vital resource for grading all assignments from the Introduction To Logic course, which includes:Instructional insights enhanced with worksheets and additional practice sheetsSpecial chapter reviews at the beginning of each new chapter worksheet created to help students and teachers grasp the scope of each section.OVERVIEW: Welcome to the world of logic. This logic course will both challenge and inspire students to be able to defend their faith against atheists and skeptics alike. Because learning logical terms and principles is often like learning a foreign language, the course has been developed to help students of logic learn the practical understanding of logical arguments. To make the course content easier to grasp, the schedule provides worksheets and practice sheets to help students better recognize logical fallacies, as well as review weeks for the quizzes and the final. The practice sheets in the back of the book offer practical study for both the final exam and for actual arguments you might encounter online or in the media.FEATURES: The calendar provides daily sessions with clear objectives and worksheets, quizzes, and tests, all based on the readings from the course book.

Learning Music Theory with Logic, Max, and Finale is a groundbreaking resource that bridges the gap between music theory teaching and the world of music software programs. Focusing on three key programs—the Digital Audio Workstation (DAW) Logic, the Audio Programming Language (APL) Max, and the music-printing program Finale—this book shows how they can be used together to learn music theory. It provides an introduction to core music theory concepts and shows how to develop programming skills alongside music theory skills. Software tools form an essential part of the modern musical environment; laptop musicians today can harness incredibly powerful tools to create, record, and manipulate sounds. Yet these programs on their own don’t provide musicians with an understanding of music notation and structures, while traditional music theory teaching doesn’t fully engage with technological capabilities. With clear and practical applications, this book demonstrates how to use DAWs, APLs, and music-printing programs to create interactive resources for learning the mechanics behind how music works. Offering an innovative approach to the learning and teaching of music theory in the context of diverse musical genres, this volume provides game-changing ideas for educators, practicing musicians, and students of music. The author's website at http://www.geoffreykidde.com includes downloadable apps that support this book.

Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book: * Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments * Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs * Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics * Examines the fundamental types of relations, which is "where theaction is" in mathematics * Provides relevant examples and class-tested exercises designed tomaximize the learning experience * Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/