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.
Logic For Dummies tracks an introductory logic course at the college level. Concrete, real-world examples help you understand each concept you encounter, while fully worked out proofs and fun logic problems encourage you students to apply what you’ve learned.
Logically Fallacious is one of the most comprehensive collections of logical fallacies with all original examples and easy to understand descriptions, perfect for educators, debaters, or anyone who wants to improve his or her reasoning skills.
"Expose an irrational belief, keep a person rational for a day. Expose irrational thinking, keep a person rational for a lifetime." - Bo Bennett
Combining stories of great writers and philosophers with quotations and riddles, this completely original text for first courses in mathematical logic examines problems related to proofs, propositional logic and first-order logic, undecidability, and other topics. 2013 edition.
However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.
Marking the 50th anniversary of the original publication of Gödel's Proof, New York University Press is proud to publish this special anniversary edition of one of its bestselling and most frequently translated books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics.
The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.
Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. For example, how can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he runs? And how can a person be ten years older than his twin?
With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle. Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic. In doing so, he brings to life a select group of the most exciting concepts in human knowledge. Paradox is mind-expanding fun.
The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.
This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
Beginning with a survey of set theory and its role in mathematics, the text proceeds to definitions and examples of categories and explains the use of arrows in place of set-membership. The introduction to topos structure covers topos logic, algebra of subobjects, and intuitionism and its logic, advancing to the concept of functors, set concepts and validity, and elementary truth. Explorations of categorial set theory, local truth, and adjointness and quantifiers conclude with a study of logical geometry.
The two-part selection of puzzles and paradoxes begins with examinations of the nature of infinity and some curious systems related to Gödel's theorem. The first three chapters of Part II contain generalized Gödel theorems. Symbolic logic is deferred until the last three chapters, which give explanations and examples of first-order arithmetic, Peano arithmetic, and a complete proof of Gödel's celebrated result involving statements that cannot be proved or disproved. The book also includes a lively look at decision theory, better known as recursion theory, which plays a vital role in computer science.
Did you love Dan Brown's The Lost Symbol? Are you fascinated by secret codes and deciphering lost history? Cracking Codes and Cryptograms For Dummies shows you how to think like a symbologist to uncover mysteries and history by solving cryptograms and cracking codes that relate to Freemasonry, the Knights Templar, the Illuminati, and other secret societies and conspiracy theories.
You'll get easy-to-follow instructions for solving everything from the simplest puzzles to fiendishly difficult ciphers using secret codes and lost symbols.Over 350 handcrafted cryptograms and ciphers of varying types Tips and tricks for cracking even the toughest code Sutherland is a syndicated puzzle author; Koltko-Rivera is an expert on the major symbols and ceremonies of Freemasonry
With the helpful information in this friendly guide, you'll be unveiling mysteries and shedding light on history in no time!
Scientific research shows that your brain needs exercise just like the rest of your body. Solving simple, short challenges is an excellent way for everyone to help sharpen the mind, improve memory, and slow down the brain?s aging process.
In Train the Brain, Dr. Gareth Moore has developed an enjoyable program of logic and reasoning exercises, simple math tests, and puzzles. Growing progressively more difficult as you work through the book, from beginner level to advanced, these entertaining exercises provide mental workouts to keep the brain at optimum health.
Pit your wits against the people who cracked Enigma in the official puzzle book from Britain's secretive intelligence organisation, GCHQ.
'A fiendish work, as frustrating, divisive and annoying as it is deeply fulfilling: the true spirit of Christmas' Guardian
'Surely the trickiest puzzle book in years. Crack these fiendish problems and Trivial Pursuit should be a doddle' Daily Telegraph
If 3=T, 4=S, 5=P, 6=H, 7=H ... what is 8?
What is the next letter in the sequence: M, V, E, M, J, S, U, ?
Which of the following words is the odd one out: CHAT, COMMENT, ELF, MANGER, PAIN, POUR?
GCHQ is a top-secret intelligence and security agency which recruits some of the very brightest minds. Over the years, their codebreakers have helped keep our country safe, from the Bletchley Park breakthroughs of WWII to the modern-day threat of cyberattack. So it comes as no surprise that, even in their time off, the staff at GCHQ love a good puzzle. Whether they're recruiting new staff or challenging each other to the toughest Christmas quizzes and treasure hunts imaginable, puzzles are at the heart of what GCHQ does. Now they're opening up their archives of decades' worth of codes, puzzles and challenges for everyone to try.
In this book you will find:
- Tips on how to get into the mindset of a codebreaker
- Puzzles ranging in difficulty from easy to brain-bending
- A competition section where we search for Britain's smartest puzzler
'Ideal for the crossword enthusiast' Daily Telegraph
After a brief overview, the approach begins with elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series of exercises, and an appendix and indexes supplement the text.
Psychology is the study of mind and behavior: how and why people do absolutely everything that people do, from the most life-changing event such as choosing a partner, to the most humdrum, such as having an extra donut. Ben Ambridge takes these findings and invites the reader to test their knowledge of themselves, their friends, and their families through quizzes, jokes, and games. You’ll measure your personality, intelligence, moral values, skill at drawing, capacity for logical reasoning, and more—all of it adding up to a greater knowledge of yourself, a higher “Psy-Q”.
Lighthearted, fun, and accessible, this is the perfect introduction to psychology that can be fully enjoyed and appreciated by readers of all ages.
Take Dr. Ben’s quizzes to learn:
- If listening to Mozart makes you smarter
- Whether or not your boss is a psychopath
- How good you are at waiting for a reward (and why it matters)
- Why we find symmetrical faces more attractive
- What your taste in art says about you
Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.
The extensively revised second edition provides further clarification of matters that typically give rise to difficulty in the classroom and restructures the chapters on logic to emphasize the role of consequence relations and higher-level rules, as well as including more exercises and solutions.
Topics and features: teaches finite mathematics as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear away confusions; provides numerous exercises, with selected solutions, to test and deepen the reader’s understanding.
This clearly-written text/reference is a must-read for first-year undergraduate students of computing. Assuming only minimal mathematical background, it is ideal for both the classroom and independent study.
With all the wit and charm that have delighted readers of his previous books, Smullyan transports us once again to that magical island where knights always tell the truth and knaves always lie. Here we meet a new and amazing array of characters, visitors to the island, seeking to determine the natives’ identities. Among them: the census-taker McGregor; a philosophical-logician in search of his flighty bird-wife, Oona; and a regiment of Reasoners (timid ones, normal ones, conceited, modest, and peculiar ones) armed with the rules of propositional logic (if X is true, then so is Y). By following the Reasoners through brain-tingling exercises and adventures—including journeys into the “other possible worlds” of Kripke semantics—even the most illogical of us come to understand Gödel’s two great theorems on incompleteness and undecidability, some of their philosophical and mathematical implications, and why we, like Gödel himself, must remain Forever Undecided!
The book begins by tracing the development of cryptology from that of an arcane practice used, for example, to conceal alchemic recipes, to the modern scientific method that is studied and employed today. The remainder of the book explores the modern aspects and applications of cryptography, covering symmetric- and public-key cryptography, cryptographic protocols, key management, message authentication, e-mail and Internet security, and advanced applications such as wireless security, smart cards, biometrics, and quantum cryptography. The author also includes non-cryptographic security issues and a chapter devoted to information theory and coding. Nearly 200 diagrams, examples, figures, and tables along with abundant references and exercises complement the discussion.
Written by leading authority and best-selling author on the subject Richard A. Mollin, Codes: The Guide to Secrecy from Ancient to Modern Times is the essential reference for anyone interested in this exciting and fascinating field, from novice to veteran practitioner.
The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.
- Compact modal logic reference
- Computational approaches fully discussed
- Contemporary applications of modal logic covered in depth
See Additional Notes at the back of the book for instructions to download the accompanying interactive App which brings the 250+ topics to life by allowing you to insert your own values. Visually on a phone or tablet it looks almost identical to the eBook pages, except you can edit the inputs to update the graphics and calculations to reflect those changes.
There is also a comprehensive PC version to download with even more features both applications can be unlocked with your eBook purchase receipt for no additional charge.
Education Bundle: eBook + PC software + App at a tiny fraction of the previously published price.
In addition to purchasing this eBook feel free to signup for our free guide supplement program. By copying the link below you will gain access to the latest updates for the most popular online apps and video games. Sign-up for free below:
Advanced Tips & Strategy Guide. This is the most comprehensive and only detailed guide you will find online. Available for instant download on your mobile phone, eBook device, or in paperback form.
With the success of my hundreds of other written guides and strategies I have written another advanced professional guide for new and veteran players. This gives specific strategies and tips on how to progress in the game, beat your opponents, acquire more coins and currency, plus much more!
Here is what you will be getting when you purchase this professional advanced and detailed game guide.
- Professional Tips and Strategies.
- Cheats and Hacks.
- Driving Guidelines.
- Getting Tons of Coins.
- Secrets, Tips, Cheats, Unlockables, and Tricks Used By Pro Players!
- How to Get Tons of Cash/Coins.
- PLUS MUCH MORE!
All versions of this guide have screenshots to help you better understand the game. There is no other guide that is as comprehensive and advanced as this one.
You will be glad that you purchased this guide and will benefit from it greatly compared to the other less effective guides out there. Purchase now and crush your opponents! Become a Pro Player Today!
For support and more information on our products please visit: http://www.hiddenstuffentertainment.com/
This product is not associated, affiliated, endorsed, certified, or sponsored by the Original Copyright Owner. All trademarks and registered trademarks appearing on this ebook are the property of their respective owners.
These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins—to ornate flower-like spheres.
Each piece of paper is held by the tension of the other papers—demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong!
Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village.
A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf!
The reader is invited on a fascinating mathematical journey to the very edges of modern scientific knowledge. From lepton and quark to mind, from cognition to a logic analogue of the Schrödinger equation, from Fibonacci numbers to logic quantum numbers, from imaginary logic to a quantum computer, from coding theory to atomic physics - the breadth and scope of this work is overwhelming. Combining quantum physics, fundamental logic and coding theory this unique work sets the stage for future physics and is bound to titillate and challenge the imagination of physicists, biophysicists and computer designers. Growing from the author's matrix operator formalization of logic, this work pursues a synthesis of physics and logic methods, leading to the development of the concept of infophysics.
The experimental verification of the proposed quantum hypothesis of the brain is presently in preparation in cooperation with the Cavendish Laboratory, Cambridge, UK, and, if proved positive, would have major theoretical implications. Even more significant should be the practical applications in such fields as molecular electronics and computer science, biophysics and neuroscience, medicine and education. The new possiblities that could be opened up by quantum level computing could be truly revolutionary.
The book aims at researchers and engineers in technical sciences as well as in biophysics and biosciences in general. It should have great appeal for physicists, mathematicians, logicians and for philosophers with a mathematical bent.
This latest book from the pop philosophy author of The Pig That Wants to Be Eaten tackles an endlessly fascinating area of popular debate-the faulty argument. Julian Baggini provides a rapid-fire selection of short, stimulating, and entertaining quotes from a wide range of famous people in politics, the media, and entertainment, including Donald Rumsfeld, Emma Thompson, Tony Blair, Bill Clinton, and Chris Martin. Each entry takes as its starting point an example of highly questionable-though oddly persuasive-reasoning from a broad variety of subjects. As Baggini teases out the logic in the illogical, armchair philosophers and aficionados of the absurd will find themselves nodding their heads as they laugh out loud. The Duck That Won the Lottery is perfect fodder for any cocktail party and pure pleasure for anyone who loves a good brain twister.
These puzzles offer mystery words without actual letters! Just watch the black center cells and Fibonacci numberd puzzles… 0ne Mystery Phrase, 0ne Solution, 0ne Love!
Designed with usability in mind, this book is sure to keep your mind puzzled for hours! Are you sudoku enough to solve it?
Disclaimer: These 300 Sudoku puzzles are not DRM-protected and can easily be printed. Just open this book in a 3rd Party Reader App... with printing function. Or you can always take screenshots.
Kahn’s latest book, How I Discovered World War II's Greatest Spy and Other Stories of Intelligence and Code, provides insights into the dark realm of intelligence and code that will fascinate cryptologists, intelligence personnel, and the millions interested in military history, espionage, and global affairs. It opens with Kahn telling how he discovered the identity of the man who sold key information about Germany’s Enigma machine during World War II that enabled Polish and then British codebreakers to read secret messages.
Next Kahn addresses the question often asked about Pearl Harbor: since we were breaking Japan’s codes, did President Roosevelt know that Japan was going to attack and let it happen to bring a reluctant nation into the war? Kahn looks into why Nazi Germany’s totalitarian intelligence was so poor, offers a theory of intelligence, explicates what Clausewitz said about intelligence, tells—on the basis of an interview with a head of Soviet codebreaking—something about Soviet Comint in the Cold War, and reveals how the Allies suppressed the second greatest secret of WWII.
Providing an inside look into the efforts to gather and exploit intelligence during the past century, this book presents powerful ideas that can help guide present and future intelligence efforts. Though stories of WWII spying and codebreaking may seem worlds apart from social media security, computer viruses, and Internet surveillance, this book offers timeless lessons that may help today’s leaders avoid making the same mistakes that have helped bring at least one global power to its knees.The book includes a Foreword written by Bruce Schneier.
Written for nontechnical readers, the book provides context to routine computing tasks so that readers better understand the function and impact of security in everyday life. The authors offer practical computer security knowledge on a range of topics, including social engineering, email, and online shopping, and present best practices pertaining to passwords, wireless networks, and suspicious emails. They also explain how security mechanisms, such as antivirus software and firewalls, protect against the threats of hackers and malware.
While information technology has become interwoven into almost every aspect of daily life, many computer users do not have practical computer security knowledge. This hands-on, in-depth guide helps anyone interested in information technology to better understand the practical aspects of computer security and successfully navigate the dangers of the digital world.
At first glance, this riddle may seem impossible to solve: how can all of the necessary information be transmitted by the prisoners using only a single light bulb? There is indeed a solution, however, and it can be found by reasoning about knowledge.
This book provides a guided tour through eleven classic logic puzzles that are engaging and challenging and often surprising in their solutions. These riddles revolve around the characters’ declarations of knowledge, ignorance, and the appearance that they are contradicting themselves in some way. Each chapter focuses on one puzzle, which the authors break down in order to guide the reader toward the solution.
For general readers and students with little technical knowledge of mathematics, One Hundred Prisoners and a Light Bulb will be an accessible and fun introduction to epistemic logic. Additionally, more advanced students and their teachers will find it to be a valuable reference text for introductory course work and further study.
The Handbook of Applied Cryptography provides a treatment that is multifunctional:
It serves as an introduction to the more practical aspects of both conventional and public-key cryptography
It is a valuable source of the latest techniques and algorithms for the serious practitioner
It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit
It provides a mathematical treatment to accompany practical discussions
It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed
Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.
"...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition)
Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications.
The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto (firstname.lastname@example.org) upon request.
This edition comprises two parts: “Introduction to Logic” and an essay titled “The False Subtlety of the Four Syllogistic Figures,” in which Kant analyzes Aristotelian logic.
I have a quantity of MS. in hand for Parts II and III, and hope to be able——should life, and health, and opportunity, be granted to me, to publish them in the course of the next few years. Their contents will be as follows:—
PART II. ADVANCED.
Further investigations in the subjects of Part I. Propositions of other forms (such as “Not-all x are y”). Triliteral and Multiliteral Propositions (such as “All abc are de”). Hypotheticals. Dilemmas. &c. &c.
Part III. TRANSCENDENTAL.
Analysis of a Proposition into its Elements. Numerical and Geometrical Problems. The Theory of Inference. The Construction of Problems. And many other Curiosa Logica.
[N.B. Some remarks, addressed to Teachers, will be found in the Appendix]
The Learner, who wishes to try the question fairly, whether this little book does, or does not, supply the materials for a most interesting mental recreation, is earnestly advised to adopt the following Rules:—
(1) Begin at the beginning, and do not allow yourself to gratify a mere idle curiosity by dipping into the book, here and there. This would very likely lead to your throwing it aside, with the remark “This is much too hard for me!”, and thus losing the chance of adding a very large item to your stock of mental delights. This Rule (of not dipping) is very desirable with other kinds of books——such as novels, for instance, where you may easily spoil much of the enjoyment you would otherwise get from the story, by dipping into it further on, so that what the author meant to be a pleasant surprise comes to you as a matter of course. Some people, I know, make a practice of looking into Vol. III first, just to see how the story ends: and perhaps it is as well just to know that all ends happily——that the much-persecuted lovers do marry after all, that he is proved to be quite innocent of the murder, that the wicked cousin is completely foiled in his plot and gets the punishment he deserves, and that the rich uncle in India (Qu. Why in India? Ans. Because, somehow, uncles never can get rich anywhere else) dies at exactly the right moment——before taking the trouble to read Vol. I. This, I say, is just permissible with a novel, where Vol. III has a meaning, even for those who have not read the earlier part of the story; but, with a scientific book, it is sheer insanity: you will find the latter part hopelessly unintelligible, if you read it before reaching it in regular course.
(2) Don’t begin any fresh Chapter, or Section, until you are certain that you thoroughly understand the whole book up to that point, and that you have worked, correctly, most if not all of the examples which have been set. So long as you are conscious that all the land you have passed through is absolutely conquered, and that you are leaving no unsolved difficulties behind you, which will be sure to turn up again later on, your triumphal progress will be easy and delightful. Otherwise, you will find your state of puzzlement get worse and worse as you proceed, till you give up the whole thing in utter disgust.
(3) When you come to any passage you don’t understand, read it again: if you still don’t understand it, read it again: if you fail, even after three readings, very likely your brain is getting a little tired. In that case, put the book away, and take to other occupations, and next day, when you come to it fresh, you will very likely find that it is quite easy.
(4) If possible, find some genial friend, who will read the book along with you, and will talk over the difficulties with you. Talking is a wonderful smoother-over of difficulties. When I come upon anything——in Logic or in any other hard subject——that entirely puzzles me, I find it a capital plan to talk it over, aloud.
29, Bedford Street, Strand.
February 21, 1896.
The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs.The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
Meet JJ, an unusual character with a unique vantage position from which he can measure and monitor humanity’s progress. Armed with a device that compels all around it to tell the truth, JJ offers a satirical evaluation of our attitudes to numeracy and logic, touching upon several aspects of life on Earth along the way, from the criminal justice system and people’s use of language to highway driving and modern art.
A collection of mathematically-flavored stories and jokes, interlaced with puzzles, paradoxes and problems, fuse together in an entertaining, free-flowing narrative that will engage and amuse anyone with an interest in the issues confronting society today. JJ demonstrates how a lack of elementary mathematical knowledge can taint our work and general thinking and reflects upon the importance of what is arguably our most valuable weapon against ignorance: a sound mathematical education.
What is JJ’s prognosis for our future? There’s only one way to find out...
"Numbers, logic, human behavior and aliens: this unique book blends them all into a captivating narrative of serious talk and satire, where wit and scholarly details are counterpointed by instructive puzzles and mathematical fun. A ‘must read’ for anybody who appreciates humor and culture."
Stanislav Potapenko, Department of Civil and Environmental Engineering, University of Waterloo, Canada
"... a real delight. Constanda has managed to intertwine stories, puzzles, logic and some very rich mathematics concepts into a very readable, enjoyable novel... I believe this book should be in the personal library of every high school mathematics teacher."
Tom Becvar, St Louis University High School, USA
"...a highly readable, unique and fascinating combination of humor, mathematics and social commentary that is factual, educational and, more importantly, understandable. Given what is taking place in today’s society, J.J. Moon brings mathematics back to earth! I’ll never go through the car buying process again without thinking about SCAM 16!"
Jerry Hoopert, VP / Chief Administrative Officer, Tulsa Teachers Credit Union, USA
This biography attempts to shed light on all facets of Zermelo's life and achievements. Personal and scientific aspects are kept separate as far as coherence allows, in order to enable the reader to follow the one or the other of these threads. The description of his personality owes much to conversations with his late wife Gertrud. The presentation of his work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from unpublished notes and letters add to the analysis.
All facts presented are documented by appropriate sources. The biography contains more than 40 photos and facsimiles, most of them provided by Gertrud Zermelo and published here for the first time.