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| books on logic and reasoning: Logical Reasoning Bradley Harris Dowden, 2019 |
| books on logic and reasoning: Logic as a Tool Valentin Goranko, 2016-09-02 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 |
| books on logic and reasoning: Logic in Computer Science Michael Huth, Mark Ryan, 2004-08-26 Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students. |
| books on logic and reasoning: Simple Formal Logic Arnold vander Nat, 2010-03-05 Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning. By keeping out artificial techniques that aren’t natural to our everyday thinking process, Simple Formal Logic trains students to think through formal logical arguments for themselves, ingraining in them the habits of sound reasoning. Simple Formal Logic features: a companion website with abundant exercise worksheets, study supplements (including flashcards for symbolizations and for deduction rules), and instructor’s manual two levels of exercises for beginning and more advanced students a glossary of terms, abbreviations and symbols. This book arose out of a popular course that the author has taught to all types of undergraduate students at Loyola University Chicago. He teaches formal logic without the artificial methods–methods that often seek to solve farfetched logical problems without any connection to everyday and philosophical argumentation. The result is a book that teaches easy and more intuitive ways of grappling with formal logic–and is intended as a rigorous yet easy-to-follow first course in logical thinking for philosophy majors and non-philosophy majors alike. |
| books on logic and reasoning: How to Win Every Argument Madsen Pirie, 2006-01-01 Deals with one fallacy, explaining what the fallacy is, giving and analysing an example, outlining when/where/why the particular fallacy tends to occur and finally showing how you can perpetrate the fallacy on other people in order to win an argument. |
| books on logic and reasoning: Boolean Reasoning Frank Markham Brown, 2012-02-10 Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition. |
| books on logic and reasoning: Introducing Logic and Critical Thinking T. Ryan Byerly, 2017-08-01 This robust, clear, and well-researched textbook for classes in logic introduces students to both formal logic and to the virtues of intellectual inquiry. Part 1 challenges students to develop the analytical skills of deductive and inductive reasoning, showing them how to identify and evaluate arguments. Part 2 helps students develop the intellectual virtues of the wise inquirer. The book includes helpful pedagogical features such as practice exercises and a concluding summary with definitions of key concepts for each chapter. Resources for professors and students are available through Baker Academic's Textbook eSources. |
| books on logic and reasoning: Art of Reasoning: An Introduction to Logic and Critical Thinking David Kelley, 2013-10 Students learn logic by practicing it by working through problems, analyzing existing arguments, and constructing their own arguments in plain language and symbolic notation. The Art of Reasoning not only introduces the principles of critical thinking and logic in a clear, accessible, and logical manner thus practicing what it preaches but it also provides ample opportunity for students to hone their skills and master course content. |
| books on logic and reasoning: An Introduction to Mathematical Reasoning Peter J. Eccles, 1997-12-11 ÍNDICE: Part I. Mathematical Statements and Proofs: 1. The language of mathematics; 2. Implications; 3. Proofs; 4. Proof by contradiction; 5. The induction principle; Part II. Sets and Functions: 6. The language of set theory; 7. Quantifiers; 8. Functions; 9. Injections, surjections and bijections; Part III. Numbers and Counting: 10. Counting; 11. Properties of finite sets; 12. Counting functions and subsets; 13. Number systems; 14. Counting infinite sets; Part IV. Arithmetic: 15. The division theorem; 16. The Euclidean algorithm; 17. Consequences of the Euclidean algorithm; 18. Linear diophantine equations; Part V. Modular Arithmetic: 19. Congruences of integers; 20. Linear congruences; 21. Congruence classes and the arithmetic of remainders; 22. Partitions and equivalence relations; Part VI. Prime Numbers: 23. The sequence of prime numbers; 24. Congruence modulo a prime; Solutions to exercises. |
| books on logic and reasoning: Critical Thinking Tracy Bowell, Gary Kemp, 2002 A much-needed guide to thinking critically for oneself and how to tell a good argument from a bad one. Includes topical examples from politics, sport, medicine, music, chapter summaries, glossary and exercises. |
| books on logic and reasoning: The Logic of Real Arguments Alec Fisher, 2004-09-23 This new and expanded edition of The Logic of Real Arguments explains a distinctive method for analysing and evaluating arguments. It discusses many examples, ranging from newspaper articles to extracts from classic texts, and from easy passages to much more difficult ones. It shows students how to use the question 'What argument or evidence would justify me in believing P?', and also how to deal with suppositional arguments beginning with the phrase 'Suppose that X were the case.' It aims to help students to think critically about the kind of sustained, theoretical arguments which they commonly encounter in the course of their studies, including arguments about the natural world, about society, about policy, and about philosophy. It will be valuable for students and their teachers in a wide range of disciplines including philosophy, law and the social sciences. |
| books on logic and reasoning: The Little Blue Reasoning Book Brandon Royal, 2013-01-01 The Little Blue Reasoning Book helps readers build essential critical thinking, creative thinking, and decision-making skills and is suitable for the everyday student, test-prep candidate, or working professional in need of a refresher course. Interwoven within the book's five chapters -Perception & Mindset, Decision Making, Creative Thinking, Analyzing Arguments, and Mastering Logic - are 50 reasoning tips that summarize the common themes behind classic reasoning problems and situations. Appendixes contain summaries of fallacious reasoning, analogies, trade-offs, and a review of critical reading. |
| books on logic and reasoning: Handbook of Modal Logic Patrick Blackburn, Johan F.A.K. van Benthem, Frank Wolter, 2006-11-03 The Handbook of Modal Logic contains 20 articles, which collectively introduce contemporary modal logic, survey current research, and indicate the way in which the field is developing. The articles survey the field from a wide variety of perspectives: the underling theory is explored in depth, modern computational approaches are treated, and six major applications areas of modal logic (in Mathematics, Computer Science, Artificial Intelligence, Linguistics, Game Theory, and Philosophy) are surveyed. The book contains both well-written expository articles, suitable for beginners approaching the subject for the first time, and advanced articles, which will help those already familiar with the field to deepen their expertise. Please visit: http://people.uleth.ca/~woods/RedSeriesPromo_WP/PubSLPR.html - Compact modal logic reference - Computational approaches fully discussed - Contemporary applications of modal logic covered in depth |
| books on logic and reasoning: Understanding Arguments Walter Sinnott-Armstrong, Robert J. Fogelin, 2010 Construct effective arguments with UNDERSTANDING ARGUMENTS: AN INTRODUCTION TO INFORMAL LOGIC, International Edition. Primarily an introduction to informal logic, this text provides a guide to understanding and constructing arguments in the context of academic studies and subsequent professional careers. Exercises, discussion questions, chapter objectives, and readings help clarify difficult concepts and make the material meaningful and useful. |
| books on logic and reasoning: Logic in Practice L. Susan Stebbing, 2019-11-04 Originally published in 1934. This fourth edition originally published 1954., revised by C. W. K. Mundle. It must be the desire of every reasonable person to know how to justify a contention which is of sufficient importance to be seriously questioned. The explicit formulation of the principles of sound reasoning is the concern of Logic. This book discusses the habit of sound reasoning which is acquired by consciously attending to the logical principles of sound reasoning, in order to apply them to test the soundness of arguments. It isn’t an introduction to logic but it encourages the practice of logic, of deciding whether reasons in argument are sound or unsound. Stress is laid upon the importance of considering language, which is a key instrument of our thinking and is imperfect. |
| books on logic and reasoning: Simply Logical Peter Flach, 1994-04-07 An introduction to Prolog programming for artificial intelligence covering both basic and advanced AI material. A unique advantage to this work is the combination of AI, Prolog and Logic. Each technique is accompanied by a program implementing it. Seeks to simplify the basic concepts of logic programming. Contains exercises and authentic examples to help facilitate the understanding of difficult concepts. |
| books on logic and reasoning: 501 Challenging Logic and Reasoning Problems , 2007-03-27 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. |
| books on logic and reasoning: Introduction to Logic and Critical Thinking Merrilee H. Salmon, 1989 |
| books on logic and reasoning: The Logic of Our Language Rodger L. Jackson, Melanie L. McLeod, 2014-11-04 The Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website. |
| books on logic and reasoning: How Logic Works Hans Halvorson, 2024-08-06 A concise introduction to logic that teaches you not only how reasoning works, but why it works How Logic Works is an introductory logic textbook that is different by design. Rather than teaching elementary symbolic logic as an abstract or rote mathematical exercise divorced from ordinary thinking, Hans Halvorson presents it as the skill of clear and rigorous reasoning, which is essential in all fields and walks of life, from the sciences to the humanities—anywhere that making good arguments, and spotting bad ones, is critical to success. Instead of teaching how to apply algorithms using “truth trees,” as in the vast majority of logic textbooks, How Logic Works builds on and reinforces the innate human skills of making and evaluating arguments. It does this by introducing the methods of natural deduction, an approach that teaches students not only how to carry out a proof and solve a problem but also what the principles of valid reasoning are and how they can be applied to any subject. The book also allows students to transition smoothly to more advanced topics in logic by teaching them general techniques that apply to more complicated scenarios, such as how to formulate theories about specific subject matter. How Logic Works shows that formal logic—far from being only for mathematicians or a diversion from the really deep questions of philosophy and human life—is the best account we have of what it means to be rational. By teaching logic in a way that makes students aware of how they already use it, the book will help them to become even better thinkers. Offers a concise, readable, and user-friendly introduction to elementary symbolic logic that primarily uses natural deduction rather than algorithmic “truth trees” Draws on more than two decades’ experience teaching introductory logic to undergraduates Provides a stepping stone to more advanced topics |
| books on logic and reasoning: Logic Nicholas J.J. Smith, 2012-04-01 Logic is essential to correct reasoning and also has important theoretical applications in philosophy, computer science, linguistics, and mathematics. This book provides an exceptionally clear introduction to classical logic, with a unique approach that emphasizes both the hows and whys of logic. Here Nicholas Smith thoroughly covers the formal tools and techniques of logic while also imparting a deeper understanding of their underlying rationales and broader philosophical significance. In addition, this is the only introduction to logic available today that presents all the major forms of proof--trees, natural deduction in all its major variants, axiomatic proofs, and sequent calculus. The book also features numerous exercises, with solutions available on an accompanying website. Logic is the ideal textbook for undergraduates and graduate students seeking a comprehensive and accessible introduction to the subject. Provides an essential introduction to classical logic Emphasizes the how and why of logic Covers both formal and philosophical issues Presents all the major forms of proof--from trees to sequent calculus Features numerous exercises, with solutions available at http://njjsmith.com/philosophy/lawsoftruth/ The ideal textbook for undergraduates and graduate students |
| books on logic and reasoning: Forall X P. D. Magnus, 2018-07-25 Forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading. This book treats symbolization, formal semantics, and proof theory for each language. The discussion of formal semantics is more direct than in many introductory texts. Although forall x does not contain proofs of soundness and completeness, it lays the groundwork for understanding why these are things that need to be proven. Throughout the book, I have tried to highlight the choices involved in developing sentential and predicate logic. Students should realize that these two are not the only possible formal languages. In translating to a formal language, we simplify and profit in clarity. The simplification comes at a cost, and different formal languages are suited to translating different parts of natural language. The book is designed to provide a semester's worth of material for an introductory college course. It would be possible to use the book only for sentential logic, by skipping chapters 4-5 and parts of chapter 6--Open Textbook Library |
| books on logic and reasoning: Essential Logic Ronald C. Pine, 1996 This back-to-basics mix of informal and formal logic evolved from Ronald Pine's efforts to make logic relevant and interesting to his students. With student-friendly examples, such as how to use logic when shopping for a car, Pine works to remove intimidating perceptions of logic and replace them with opportunities to build critical reasoning skills and confidence. Pine emphasizes relevance, continuity, and depth. |
| books on logic and reasoning: Elements of Logical Reasoning Jan von Plato, 2014-01-23 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. |
| books on logic and reasoning: A Concise Introduction to Logic Craig DeLancey, 2017-02-06 |
| books on logic and reasoning: The Logic Book Merrie Bergmann, James Moor, Jack Nelson, 2008-07-30 This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose. |
| books on logic and reasoning: The Loophole in LSAT Logical Reasoning Ellen Cassidy, 2018-11-15 The Loophole in LSAT Logical Reasoning is the single most effective LSAT Logical Reasoning book on the market. It's the much-needed, ice-cold La Croix in your LSAT life.The Loophole in LSAT Logical Reasoning is the result of five years of development, testing, and iteration. Its methodologies are not just comprehensive; they're frankly just better. |
| books on logic and reasoning: The Power of Logical Thinking Marilyn Vos Savant, 1996 Argues that Americans must improve their understanding of probability and logic |
| books on logic and reasoning: Introduction to Logic Jason Lisle, 2018-11-27 Logic is the study of the principles of correct reasoning. That is its definition. To be logical is to think rightly, and to draw reasonable conclusions from the available information.Why does logic matter, and who decides what is the right way to think?If two people disagree on whether something is reasonable, who is correct?What is the standard by which we judge a particular line of reasoning to be correct or incorrect?In the Christian worldview, we can answer these questions because we know that God determines the correct way to reason. He is the standard for all truth claims. In this book you will learn about logic and the Christian worldview, the Biblical basis for the laws of logic, if faith is contrary to reason, informal logical fallacies, and more. |
| books on logic and reasoning: Symbolic Logic and Other Forms of Deductive Reasoning Richard L. Trammell, 2016-07-11 This text does not presuppose any technical background in math or logic. The first seven chapters cover all the basic components of a first course in symbolic logic, including truth tables, rules for devising formal proofs of validity, multiple quantifiers, properties of relations, enthymemes, and identity. (One exception is that truth trees are not discussed.) The five operator symbols used are: (.) and, (v) or, ( ) not, and also if-then, represented by the sideways U and material equivalence represented by the triple line. There are also four chapters which can be studied without symbolic logic background. Chapter 8 is a study of 7 immediate inferences in Aristotelian logic using A, E, I, O type statements with a detailed proof concerning what existential assumptions are involved. Chapter 9 is a study of classic Boolean syllogism using Venn diagrams to show the validity or invalidity of syllogisms. Chapter 10 is a study of the type of probability problems that are deductive (example: having 2 aces in 5 cards drawn from a randomized deck of cards). Chapter 11 is a study of the types of problems that are often found on standardized tests where certain data are given, and then multiple-choice questions are given where the single correct answer is determined by the data. In the symbolic logic chapters, it is shown many times how putting English statements into symbolic notation reveals the complexity (and sometimes ambiguity) of natural language. Many examples are given of the usage of logic in everyday life, with statements to translate taken from musicals, legal documents, federal tax instructions, etc. Several sections involve arguments given in English, which must be translated into symbolic notation before proof of validity is given. Chapter 7 ends with a careful presentation of Richard's Paradox, challenging those who dismiss the problem because it is not strictly mathematical. The conclusion of this chapter is the most controversial part of the text. Richard's paradox is used to construct a valid symbolic logic proof that Cantor's procedure does not prove there are nondenumerable sets, with a challenge to the reader to identify and prove which premise of the argument is false. There are several uncommon features of the text. For example, there is a section where it is shown how the rules of logic are used in solving Sudoku puzzles. Another section challenges students to devise arguments (premises and conclusion) that can be solved in a certain number of steps (say 3) only by using a certain 3 rules, one time each (for example, Modus Ponens, Simplification, and Conjunction). In proofs of invalidity, if there are 10 simple statements (for example), there are 1024 possible combinations of truth values that the 10 statements can have. But the premises and conclusions are set up so that only 1 of these combinations will make all the premises true and the conclusion false - and this 1 way can be found by forced truth-value assignments, with no need to take options. Another unusual section of the text defines the five operator symbols as relations (for example, Cxy = x conjuncted with y is true), and then statements about the operators are given to determine whether the statements are true or false. To aid in deciding what sections to cover in a given course or time frame, certain sections are labeled optional as an indication that understanding these sections is not presupposed by later sections in the text. Although there are a ton of problems with answers in the text, any teacher using this text for a course can receive free of charge an answer book giving answers to all the problems not answered in the text, plus a few cases of additional problems not given in the text, also with answers. Send your request to rltrammell151@gmail.com, and you will be sent an answer key using your address at the school where you teach. |
| books on logic and reasoning: Logic and Legal Reasoning Douglas Lind, 2001 |
| books on logic and reasoning: Logical Reasoning with Diagrams & Sentences Dave Barker-Plummer, Jon Barwise, John Etchemendy, 2017 The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction using a carefully crafted combination of textbook, desktop, and online materials. This package is sure to be an essential resource in a range of courses incorporating logical reasoning, including formal linguistics, philosophy, mathematics, and computer science. Unlike traditional formal treatments of reasoning, this package uses both graphical and sentential representations to reflect common situations in everyday reasoning where information is expressed in many forms, such as finding your way to a location using a map and an address. It also teaches students how to construct and check the logical validity of a variety of proofs--of consequence and non-consequence, consistency and inconsistency, and independence--using an intuitive proof system which extends standard proof treatments with sentential, graphical, and heterogeneous inference rules, allowing students to focus on proof content rather than syntactic structure. Building upon the widely used Tarski's World and Language, Proof and Logic courseware packages, Logical Reasoning with Diagrams and Sentences contains more than three hundred exercises, most of which can be assessed by the Grade Grinder online assessment service; is supported by an extensive website through which students and instructors can access online video lectures by the authors; and allows instructors to create their own exercises and assess their students' work. Logical Reasoning with Diagrams and Sentences is an expanded revision of the Hyperproof courseware package. |
| books on logic and reasoning: Critical Thinking Anita E. Harnadek, 1981-06-01 A course of informal and formal logic for junior high and secondary students. |
| books on logic and reasoning: Critical Reasoning Marianne Talbot, 2015-05-05 This book will help you to reason critically; to recognise, analyse and evaluate arguments and to classify them as inductive or deductive. It will introduce you to fallacies (bad arguments that look like good arguments) and, in two optional chapters, to the rudiments of formalisation. Linked to Marianne Talbot's hugely successful Critical Reasoning podcasts (downloaded 4 million times from iTunesU!), and full of interactive exercises and quizzes, the book was written to satisfy demand from fans of the podcasts. Marianne is the Director of Studies in Philosophy at Oxford University's Department for Continuing Education. |
| books on logic and reasoning: A Modern Approach to Logic Reasoning R. S. Aggarwal, Agarwala Vikas, 2002 |
| books on logic and reasoning: Logic and Critical Reasoning Anand Vaidya, Andrew Erickson, 2011 |
| books on logic and reasoning: Basic Logic Raymond Joseph McCall, 1952 |
| books on logic and reasoning: Logical Reasoning PEGASUS., 2017-09-12 Ages 5 to 7 years. It is very important to develop logical reasoning skills in children because such skills help in boosting the confidence level and decision taking skills of kids. This series has been developed keeping this point in mind. It contains topics like Pattern Completion, Geometric Shapes, Odd One Out, Grouping, Analogy and Ranking Test. Very beautiful images, cartoons have been used to support the content and attract the attention of the children aged between five to seven years old. Overall, a perfect book to build the logical reasoning abilities in children. |
| books on logic and reasoning: Subjective Logic Audun Jøsang, 2018-06-23 This is the first comprehensive treatment of subjective logic and all its operations. The author developed the approach, and in this book he first explains subjective opinions, opinion representation, and decision-making under vagueness and uncertainty, and he then offers a full definition of subjective logic, harmonising the key notations and formalisms, concluding with chapters on trust networks and subjective Bayesian networks, which when combined form general subjective networks. The author shows how real-world situations can be realistically modelled with regard to how situations are perceived, with conclusions that more correctly reflect the ignorance and uncertainties that result from partially uncertain input arguments. The book will help researchers and practitioners to advance, improve and apply subjective logic to build powerful artificial reasoning models and tools for solving real-world problems. A good grounding in discrete mathematics is a prerequisite. |
| books on logic and reasoning: Logic Workbook for Gritty Kids Dan Allbaugh, 2021-10-05 Visually compelling puzzles and games engage children in purposeful problem solving and STEM skill development through grit building challenges. Over 150 developmentally appropriate activities are organized by subject and captivate a wide spectrum of learners. -Spatial Reasoning-Math Puzzles-Logic Problems-Word Games-Activities-Two-Player GamesEach section has a low floor but high ceiling as puzzles grow in difficulty, inspiring children through early success which motivates continued engagement. Beautifully illustrated characters from the 2021 Reader's Favorite gold medal winner for best children's animal book, The Gritty Little Lamb, deliver personality while also providing inspiration and encouragement in spirited rhyme as kids work through meaningful activities to build essential problem solving and critical thinking skills fundamental to all curriculum. Answers are provided in the back of the book and a certificate of achievement is included that can be presented upon completion. 13 pencil and paper two-player games facilitate the direct application of acquired skills and provide the foundation for continued fun and growth after the book is finished.Whether you are looking for activities to develop or entertain, Logic Workbook for Gritty Kids is unmatched. Comprehensive content is most appropriate for kids ages 6-10 but some puzzles and games are entertaining for older kids and adults making this book a great family value.Educational fun. Playful fun. Developmental fun. Engaging fun. Hard fun. Motivating fun. Enduring fun.Fun fun. |
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