Presents a series of logic and reasoning problems to help the reader to prepare for an important exam, improve reasoning skills for work or school, or hone the readers mind.
Written in a clear, precise and user-friendly style, Logic as a Tool: A Guide to Formal Logical Reasoning is intended for undergraduates in both mathematics and computer science, and will guide them to learn, understand and master the use of classical logic as a tool for doing correct reasoning. It offers a systematic and precise exposition of classical logic with many examples and exercises, and only the necessary minimum of theory. The book explains the grammar, semantics and use of classical logical languages and teaches the reader how grasp the meaning and translate them to and from natural language. It illustrates with extensive examples the use of the most popular deductive systems -- axiomatic systems, semantic tableaux, natural deduction, and resolution -- for formalising and automating logical reasoning both on propositional and on first-order level, and provides the reader with technical skills needed for practical derivations in them. Systematic guidelines are offered on how to perform logically correct and well-structured reasoning using these deductive systems and the reasoning techniques that they employ. •Concise and systematic exposition, with semi-formal but rigorous treatment of the minimum necessary theory, amply illustrated with examples •Emphasis both on conceptual understanding and on developing practical skills •Solid and balanced coverage of syntactic, semantic, and deductive aspects of logic •Includes extensive sets of exercises, many of them provided with solutions or answers •Supplemented by a website including detailed slides, additional exercises and solutions For more information browse the book's website at: https://logicasatool.wordpress.com
Helps students become familiar with the question format on standardized tests and learn how to apply logic and reasoning skills to word knowledge. Focuses on exact word definitions and secondary word meanings, relationships between words and how to draw logical conclusions about possible answer choices. Identifies analogies, cause/effect, part/whole, type/category, synonyms, and antonyms.
Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.
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/
Answer set programming (ASP) is a programming methodology oriented towards combinatorial search problems. In such a problem, the goal is to find a solution among a large but finite number of possibilities. The idea of ASP came from research on artificial intelligence and computational logic. ASP is a form of declarative programming: an ASP program describes what is counted as a solution to the problem, but does not specify an algorithm for solving it. Search is performed by sophisticated software systems called answer set solvers. Combinatorial search problems often arise in science and technology, and ASP has found applications in diverse areas—in historical linguistic, in bioinformatics, in robotics, in space exploration, in oil and gas industry, and many others. The importance of this programming method was recognized by the Association for the Advancement of Artificial Intelligence in 2016, when AI Magazine published a special issue on answer set programming. The book introduces the reader to the theory and practice of ASP. It describes the input language of the answer set solver CLINGO, which was designed at the University of Potsdam in Germany and is used today by ASP programmers in many countries. It includes numerous examples of ASP programs and present the mathematical theory that ASP is based on. There are many exercises with complete solutions.
Presents five hundred-one critical reading questions to prepare for the SAT I and other tests and includes skill builders on different subject matter such as U.S. history and politics, arts and humanities, health and medicine, literature and music, sports, science, and social studies.
A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
How do we know what we know? In this stimulating and rigorous book, Mark McBride explores two sets of issues in contemporary epistemology: the problems that warrant transmission poses for the category of basic knowledge; and the status of conclusive reasons, sensitivity, and safety as conditions that are necessary for knowledge. To have basic knowledge is to know (have justification for) some proposition immediately, i.e., knowledge (justification) that doesn’t depend on justification for any other proposition. This book considers several puzzles that arise when you take seriously the possibility that we can have basic knowledge. McBride’s analysis draws together two vital strands in contemporary epistemology that are usually treated in isolation from each other. Additionally, its innovative arguments include a new application of the safety condition to the law. This book will be of interest to epistemologists―both professionals and students.
This book, now in its Third Edition, is revised as per the feedback received from our valuable students and readers. It is exclusively prepared for the students who wish to appear for campus recruitment screening test and graduate/post graduate students appearing for various competitive examinations in Quantitative Aptitude and Reasoning. The main objective of this volume is to guide the students to solve the problems within the stipulated time and that too with the higher degree of accuracy. Organized in two parts—Quantitative Aptitude (Part I) and Reasoning (Part II)—it helps students to apply basic mathematical and reasoning concepts to a range of quantitative and reasoning problems. The separate sections are devoted to verbal and nonverbal reasoning. It sharpens the ability to apply analytical and logical thinking while gathering and analysing information, designing and testing solutions to problems, and formulating plans. This book is a valuable resource for conducting training programmes/workshops to train students in problem solving techniques in Mathematical Aptitude. It would equally be useful to the candidates appearing for quantitative aptitude and reasoning test conducted in various competitive examinations of graduate level.NEW TO THIS EDITION • Numerous Reasoning questions (with explanatory answers) asked in recent placement tests and competitive exams • New topics on • Four figure series • Choosing one element of a similarly related pair • Choosing set of similarly related figures • Detecting one element of each of the two related pair • Detecting the relationship and choosing the correct substitute • Choosing the odd figure • Choosing a similar figure • Rule 4 [(i) and (ii)] in Rule detection