Educational fun through simple rules, engaging activities, diverse challenges, and playful characters. 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 ReasoningMath PuzzlesLogic ProblemsWord GamesFocus ActivitiesTwo-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 capture attention and inspirational messages written in spirited rhyme provide encouragement while shifting focus away from the stress of skill mastery. 80+ unique puzzle types prioritize providing diverse opportunities 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. Read more

Winner of the Pulitzer PrizeA metaphorical fugue on minds and machines in the spirit of Lewis Carroll Douglas Hofstadter's book is concerned directly with the nature of "maps" or links between formal systems. However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more. Read more

Educational fun through simple rules, engaging activities, diverse challenges, and playful characters.My First Logic Workbook for Gritty Kids is the third release in the international best-selling Logic Workbook for Gritty Kids series. The book’s personality remains true to the series, but the content is curated to facilitate the first steps of young learners on their intellectual journey. All activities have instructions and while some are intuitive others require (assisted) reading skills. Comprehensive content is most appropriate for kids ages 4-6.Visually compelling puzzles engage children in purposeful problem-solving and STEM skill development through grit building challenges. Over 100 developmentally appropriate activities organized by subject will captivate a wide spectrum of learners with inconspicuous learning.Spatial ReasoningMath PuzzlesLogic ProblemsFocus ActivitiesEach 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 capture attention and inspirational messages written in spirited rhyme provide encouragement while shifting focus away from the stress of skill mastery. 70+ unique puzzle types prioritize providing diverse opportunities 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. Whether you are looking for activities to develop or entertain, My First Logic Workbook for Gritty Kids is unmatched for kid-friendly content foundational for growth and enjoyment.Educational fun.Playful fun.Developmental fun.Engaging fun.Hard fun.Motivating fun.Enduring fun.Fun fun. Read more

The Fallacy Detective has been the best selling text for teaching logical fallacies and introduction to logic for over 15 years."Can learning logic be fun? With The Fallacy Detective it appears that it can be. I thoroughly enjoyed this book and would recommend it to anyone who wants to improve his reasoning skills."--Tim Challies, curriculum reviewer"Cartoon and comic illustrations, humorous examples, and a very reader-friendly writing style make this the sort of course students will enjoy."--Cathy Duffy, homeschool curriculum reviewer"I really like The Fallacy Detective because it has funny cartoons, silly stories, and teaches you a lot!"--11 Year OldWhat is a fallacy? A fallacy is an error in logic a place where someone has made a mistake in his thinking. This is a handy book for learning to spot common errors in reasoning.- For ages twelve through adult.- Fun to use -- learn skills you can use right away.- Peanuts, Dilbert, and Calvin and Hobbes cartoons.- Includes The Fallacy Detective Game.- Exercises with answer key. Read more

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Educational fun through simple rules, engaging activities, diverse challenges, and playful characters.An Intermediate Logic Workbook for Gritty Kids provides fun, diverse, and engaging puzzles as a part of the international best-selling Logic Workbook for Gritty Kids series. The flow and personality remain uniquely familiar to the series while introducing a variety of fresh content.Visually compelling puzzles and games engage children in purposeful problem-solving and STEM skill development through grit-building challenges. The amazing variety of innovative and fresh content with over 200 developmentally appropriate activities organized by subject will captivate a wide spectrum of learners.Spatial ReasoningMath PuzzlesLogic ProblemsWord GamesFocus ActivitiesTwo-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 capture attention and inspirational messages written in spirited rhyme provide encouragement while shifting focus away from the stress of skill mastery. 80+ unique puzzle types prioritize providing diverse opportunities 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, An Intermediate Logic Workbook for Gritty Kids is unmatched. Comprehensive content is most appropriate for kids ages 8-10, but some puzzles and games are entertaining for adults and kids of all ages, making this book a great family value.Educational fun.Playful fun.Developmental fun.Engaging fun.Hard fun.Motivating fun.Enduring fun.Fun fun. Read more

Over 100 hours of guaranteed mind-bending fun!This collection will bring you the most entertaining logic challenges you have ever encountered.In the 100 puzzles of this book you will find:Fun backstories.Enormous grids with 375 entries.Hints for the trickiest puzzles to guide you to the solution.Extreme variety: FOUR difficulty levels and FIVE different grid sizes.And much much more.... Get a hot hand with the easier grids, and then tackle progressively harder puzzles. You won’t be able to stop! As anyone who has tried logic grid puzzles can confirm, they are extremely addictive!The book has been carefully tested and proofread by a team of 25 experts. Each puzzle admits a unique solution that can be obtained with logical deductions from the given clues.The median solving time of our experts is displayed on the hardest puzzles. Will you manage to do better?For the most seasoned puzzlers, we have some special treats:10 Oversized Grids. These fiendishly tricky puzzles will tease your brain for a while.Nested Grids: a NEW type of puzzle that requires solving multiple grids simultaneously.The Ultimate Challenge, consisting of four almost impossible puzzles. Will you manage to crack them?But this book is not just for expert puzzlers. Even if you are new to logic puzzles or afraid of getting stuck, don't worry. We have got you covered!As a bonus, included in your purchase is the ebook "Logic Grid Puzzles - The Explosive Handbook: Expert Secrets to Crack Every Grid."This comprehensive handbook is packed with insider techniques and strategies that will guide you through each puzzle.If you love to test and improve your logic skills, don’t miss the many hours of clever entertainment offered by this volume.To grab your copy of The Ultimate Logic Grid Puzzle Book for Adults, scroll to the top of the page and smash that “BUY NOW” button! Read more

This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.After every chapter are "pro-tips," which are short thoughts on things I wish I had known when I took my intro-to-proofs class. They include finer comments on the material, study tips, historical notes, comments on mathematical culture, and more. Also, after each chapter's exercises is an introduction to an unsolved problem in mathematics.In the first appendix we discuss some further proof methods, the second appendix is a collection of particularly beautiful proofs, and the third is some writing advice. Read more

The Thinking Toolbox has been the best selling text for teaching critical thinking skills and introduction to logic for over 20 years."The Bluedorns have certainly achieved their goal of creating a logic textbook that is neither boring nor distant, but rather informative, approachable, enjoyable, and valuable." - Jordan J. Ballor at the Acton Institute --Acton Institute web site"I think the best part of The Thinking Toolbox would be the examples because they are hilarious. . . . I would highly recommend this book. It's useful and great comedy at the same time." Sarah (age 11) --studentThis book is like a toolbox, full of different kinds of tools you can use for different thinking tasks. Just as you use the wrench in a regular tool box to fix the sink, so you can use the tools we give you in this book to solve thinking problems.- When it is dumb to argue- Using the scientific method- Five rules of brainstorming- Who has a reason to lie?- How to analyze opposing viewpoints- How to analyze evidence and sources- How to list reasons why you believe something- And much moreWe wrote this book for children and adults who want to learn logic and critical thinking skills. The Thinking Toolbox follows the same style as The Fallacy Detective with lessons and exercises and an answer key in the back. Parents and teachers, as well as anybody who wants to learn logic, will find The Thinking Toolbox easy to use and practical.Features:- Fun to use not dry like a math textbook- Can be used after The Fallacy Detective- Introductory teaches skills you can use right away- Self-teaching format- For ages twelve and older- Over 60 cartoon illustrations by Richard LaPierre Read more

FREE BONUS CONTENT: Tips and strategies for solving logic grid puzzles and a set of graphical logic grid puzzles!50 3x3 logic grid puzzles - from easy to challenging + solutions provided at the end of the bookConvenient 6x9 format makes it the perfect travel companion!Ready for more challenging logic grids?Our puzzles require thinking, not just mindlessly marking off clues!FREE DOWNLOADABLE BONUSES: Learn to solve logic grid puzzles and take a look at our graphical logic grids!Why should you opt for our book?50 3x3 Puzzles: Gradually increasing difficulty, featuring pre-drawn grids designed for your solving pleasure and providing hours of fun.Solvability: Each puzzle has been meticulously checked to ensure solvability with the given clues. Optimal Size: Handy 6x9 format for effortless portability, making it an ideal accompaniment for your adventures on the go. Diverse Themes: Explore a range of themes ensuring unique puzzles, keeping the excitement alive with every flip of the page.Solutions: Answers to all puzzles are included at the book's conclusion for your convenience.Bonus Download: Receive tips and strategies for solving logic grids, ranging from fundamental to advanced techniques.Additional Perk: A fresh perspective on logic grids with graphical representations. Perfect Present: Ideal for both novice and experienced puzzle enthusiasts, guaranteeing hours of screen-free entertainment.Whether you're traveling the world, waiting for an appointment, or simply unwinding at home, our logic grid puzzles promise a delightful and intellectually stimulating pastime.Click "Buy Now" and embark on your puzzle-solving journey! Read more

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💡Do You Want To Learn To Solve Logic Grid Puzzles? Or Maybe Improve Your Solving Skills? You Found the Perfect Book for It!💡It offers 14 puzzles with the solutions explained in detail - and the full solution for any of the remaining puzzles can be viewed using a QR code. Yes, you got it right, we are proving full walkthroughs for all the 101 puzzles in the book - just like that, no signups or extra conditions.🎁What else is there?🎁🧩 101 Puzzles: Gradually increasing difficulty with introducing new clues step by step, featuring pre-drawn grids designed for your solving pleasure and providing hours of fun.🧩 Solvability: Each puzzle has been meticulously checked to ensure solvability with the given clues.🧩 Optimal Size: Handy 6x9 format for effortless portability, making it an ideal accompaniment for your adventures on the go.🧩 Diverse Themes: Explore a range of themes ensuring unique puzzles, keeping the excitement alive with every flip of the page.🧩 Solutions: Answers to all puzzles are included at the book's conclusion for your convenience.🧩 Bonus Download: Receive tips and strategies for solving logic grids, ranging from fundamental to advanced techniques.🧩 Additional Perk: A fresh perspective on logic grids with graphical representations.🧩 Perfect Present: Ideal for novice or intermediate puzzle enthusiasts, guaranteeing hours of screen-free entertainment.Whether you're traveling the world, waiting for an appointment, or simply unwinding at home, our logic grid puzzles promise a delightful and intellectually stimulating pastime.❗Click "Buy Now" and embark on your puzzle-solving journey! ❗ Read more

“This short book makes you smarter than 99% of the population. . . . The concepts within it will increase your company’s ‘organizational intelligence.’. . . It’s more than just a must-read, it’s a ‘have-to-read-orFrom the author of An Illustrated Book of Loaded Language, here’s the antidote to fuzzy thinking, with furry animals!Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle).Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short―plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences).Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments―which makes this geek-chic book a must for anyone in the habit of holding opinions. 19 full-page illustrations Read more

The bestselling book that has helped millions of readers solve any problemA must-have guide by eminent mathematician G. Polya, How to Solve It shows anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can help you attack any problem that can be reasoned out—from building a bridge to winning a game of anagrams. How to Solve It includes a heuristic dictionary with dozens of entries on how to make problems more manageable—from analogy and induction to the heuristic method of starting with a goal and working backward to something you already know.This disarmingly elementary book explains how to harness curiosity in the classroom, bring the inventive faculties of students into play, and experience the triumph of discovery. But it’s not just for the classroom. Generations of readers from all walks of life have relished Polya’s brilliantly deft instructions on stripping away irrelevancies and going straight to the heart of a problem. Read more

100 wonder-filled word puzzles that thrill and tantalize with the beauty, magic, and weirdness of world language Whether you’re a crossword solver, cryptogram fan, Scrabble addict, or Sudoku savant, The Language Lover’s Puzzle Book is guaranteed to tease your brain and twist your tongue. Puzzle master Alex Bellos begins in Japan, where we can observe some curious counting:boru niko = two ballstsuna nihon = two ropesuma nito = two horseskami nimai = two sheets of paperashi gohon = five legsringo goko = five applessara gomai = five plateskaba goto = five hippos Now, how do the Japanese say “nine cucumbers”?* a) kyuri kyuhon b) kyuri kyuko c) kyuri kyuhiki d) kyuri kyuto Bellos finds the intrigue―and the human element―in a dizzying array of ancient, modern, and even invented tongues, from hieroglyphs to Blissymbolics, Danish to Dothraki. Filled with unusual alphabets, fascinating characters, and intriguing local customs for time-telling, naming children, and more, this is a bravura book of brainteasers and beyond―it’s a globe-trotting, time-traveling celebration of language. *The word endings depend on shape: Flat things end in -mai and spherical things end in -ko. Cucumbers are long things (like ropes and legs), so they end in -hon. The answer is (a)!  125 B&W illustrations and diagrams Read more

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. 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 an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians. Read more

Sudoku is a number puzzle that you can play without doing any math!However, these puzzles require logic to solve, and are a great, fun way to sharpen your thinking skills!Anyone who is ready to do some thinking and can read and write the numbers 1, 2, 3 and 4 can enjoy these 4x4 sudoku puzzles! Featuring extra large, extra easy 4X4 puzzles, The Complete Young Beginner’s Sudoku 4X4 is designed with the very youngest beginners in mind.Fun and adorable animals on every puzzle!Solutions for each puzzle are easy to find on the other side of the page!65 Puzzles146 Pages8.5 X 8.5 Inches Read more

Category theory provides a cross-disciplinary language for mathematics designed to delineate general phenomena, which enables the transfer of ideas from one area of study to another. Category theory has provided the foundations for many of the twentieth century's most significant advances in pure mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. The treatment introduces the essential concepts of category theory:   Categories, functors, natural transformationsThe Yoneda lemma, limits and colimitsAdjunctions, monads, and other topicsSuitable for advanced undergraduates and graduate students in mathematics, the text provides tools for understanding and attacking difficult problems in the following:   Algebra, number theoryAlgebraic geometry, and algebraic topologyPrerequisites are limited to familiarity with some basic set theory and logic Drawing upon a broad range of mathematical examples from the categorical perspective, the author illustrates how the concepts and constructions of category theory arise from and illuminate more basic mathematical ideas.Dover is widely recognized for a magnificent mathematics list featuring such world-class theorists as Paul J. Cohen (Set Theory and the Continuum Hypothesis), Alfred Tarski (Undecidable Theories), Gary Chartrand (Introductory Graph Theory), Hermann Weyl (The Concept of a Riemann Surface), Shlomo Sternberg (Dynamical Systems), and multiple works by C. R. Wylie in geometry, plus Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers. Read more

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy. In this new edition Graham Priest expands his discussion to cover the subjects of algorithms and axioms, and proofs in mathematics.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. Read more

The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution.Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true―yet never provable―continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings―including a never-before-transcribed shorthand diary of his most intimate thoughts―to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of the Institute for Advanced Study in Princeton, NJ, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos. 68 photographs and 3 maps Read more