It evaluates its arguments in order, giving False immediately if any of them are Falseand True if they are all True. Enter using and :. And works with any number of arguments:. And is associative:. And with explicit True or False arguments will simplify:. And evaluates its arguments in order, stopping when an argument evaluates to False :.Popular problem solving editor for hire gb
TraditionalForm formatting:. If an argument of And evaluates to Falseany subsequent arguments are not evaluated:. Combine equations and inequalities; And is used both in the input and in the output:. Use And to combine conditions:. A cellular automaton based on And :.
Truth table for binary And :. Ternary And :. Zero-argument And is True :. And with a single argument will return the evaluated argument regardless of value:.
Use BooleanConvert to expand And with respect to Or :. De Morgan's laws relate AndOrand Not :. Conjunction of conditions corresponds to the product or Min of Boole functions:. Use Thread to thread over lists:. Introduced in 1.
The Art of Logic in an Illogical World
Wolfram Language. Wolfram Research. Last Modified Charles Lutwidge Dodgson sat in the bows of a rowing boat and heaved on the oars in time with another young man who sat in front of him. The prow cut through the glassy river water as the summer sun shone down on the three Liddell sisters sitting rapt in the stern. At a pivotal moment in English literature, Dodgson was enthralling the young girls Alice, Edith and Lorina with a tale of a little girl who spotted a worried rabbit on a river bank, and followed it down a rabbit hole into a world like our own, but very different.
Catching his breath as the oars caught the water, Dodgson was making it up as he went along. Later, at Alice Liddell's request, he was to stay up nearly the whole night writing down as much as he could of this story which had so entertained the girls.
Alice's Adventures Under Ground was the result, and it was published a few years later under the title Alice's Adventures in Wonderland with the author's name given as Lewis Carroll, the name Dodgson used to distinguish his popular works from his academic ones.
Robin Wilson's Lewis Carroll in Numberland is a beautifully-written and highly entertaining account of the shifting in and out of focus of these two characters, Dodgson the establishment academic and Carroll the playful writer, as Dodgson's life progressed from his quiet religious upbringing in the rural north of England to his untimely death as a superstar entertainer of the Victorian age. Carroll is such an important figure in children's literature — in literature of any sort — that much has been written about him in the hundred years or so since his death.
According to Wilson, most of this analysis has concerned itself with his writing for children, the magic and mathematics it contains, the themes running through it, the links between stories, and so on. An ocean of ink has also been spilt in modern times trying to build a case for something sinister in Dodgson's interest in children, particularly Alice Liddell.
Such apparently baseless claims, applying a kind of modern hysteria to Victorian attitudes and without a shred of convincing supporting evidence, are dismissed in a brief but cutting and forceful paragraph by Wilson. Indeed, Numberland is mainly concerned with the relatively unexplored territory of Dodgson's contributions to mathematics and logic, rather than Carroll's contributions to literature. Of course, the latter was heavily influenced by the former — and was almost certainly more significant — but still it is fascinating to learn of the teaching style and research interests of Dodgson.
The two sometimes clashed rather brilliantly. Queen Victoria loved his Wonderlandand wrote to the publisher requesting that she be sent the very next book that Carroll produces. Wilson relates, "Queen Victoria was not amused.
Dodgson pronounced "Dodson" was born in as the third of eleven children. His lifelong affection for and care of his siblings is a repeated theme of the book. As the eldest boy, he was destined for the church, and certainly had the necessary breeding his father was the latest in a long line of clergy and education the famous public schools he attended stressed the classics and religious education. Mathematics was also in his blood, however, as his father had a keen mathematical mind and had received a double first class degree in classics and mathematics at Christ Church College, Oxford.
This, to put it mildly, was an impressive achievement, and gave the young Dodgson something to aim for. At a young age Dodgson began preparing family magazines for his siblings, featuring stories and puzzles often of a fantastical and mathematical nature. A talent for writing already established, the young Dodgson was soon to excel at mathematics too.
By the time he reached Oxford, great mathematical things were expected of him.They can help you to avoid logical fallacies and be the person who always wins debates and arguments. Bringing the internet age a much-needed dose of old-school logic, the book takes on the logical misconceptions and makes it wonderfully entertaining. It is a collection of flaws that reintroduces the readers to fundamental notions of logical discourse, the world of logic.
It is full of cogent explanations of the straw man fallacy, the slippery slope argument, and the ad hominem attack. An Illustrated Book of Bad Arguments is a geek-chic book, undoubtedly a must for anyone in the habit of holding opinions! Being Logical talks about how logic is synonymous with reason, judgment, sense, wisdom, and sanity. The author tells us that being logical using evidence and genuine conclusions give us the ability to create concise and reasoned arguments.
It breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. Elegant, pithy, and precise, Being Logical is an indispensable guide to using logic to advantage in everyday life. Nonsense is an ultimate compilation and study of verbal logical fallacies available anywhere. It is a collection of the myriad ways we go about being illogical and how we deceive ourselves and others.
It is also a short course in nonmathematical logical thinking, especially vital for students of philosophy and economics. Robert Gula has given an outstanding introduction to critical thinking and analysis of the art of argument. A book of remarkable scholarship, Nonsense is unexpectedly relaxing, informal, and accessible.
The book also throws light upon the prospects for computers and artificial intelligence for mimicking the human brain and thought.
It is an engaging take on abstruse mathematical topics like undecidability, recursion, and strange loops. How Not to Be Wrong is a math-world superstar, unveiling the hidden beauty and logic of the world. It shows us how math allows us to see the hidden structures underneath the messy and chaotic surface of the world.
Jordan Ellenberg pulls from history and the latest theoretical developments to provide those untrained in math with the knowledge they need. How Not to Be Wrong is indeed a discovery of the astonishing versatility of mathematical thinking and realizing its very real limits! Gerry Spence translates his experience and success secrets into the language of the real world of jobs, romance, and child rearing.
It is an interesting and thought-provoking perspective on how someone looks at the nature of debates. It motivates us to struggle without being combative, persuade instead of crushing others, and become credible.
A Rulebook for Arguments is a succinct introduction to the art of writing and assessing arguments, organized around specific rules.Toggle navigation. Main Logical Reasoning with Diagrams. Logical Reasoning with Diagrams Gerard AllweinJon Barwise One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning?
What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills.
100 Best Logical Reasoning Books of All Time
As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information. ISBN Send-to-Kindle or Email Please login to your account first Need help?Alternative Math - Short Film
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Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. Leonard N. David Roffe. Free ebooks since Skip to main content. There's a problem loading this menu right now. Learn more about Amazon Prime. Get free delivery with Amazon Prime. Amazon Best Sellers Our most popular products based on sales. Updated hourly. Best Sellers in Children's Math Books.
Editors of Phoenix International. School Zone. Activity Wizo. Modern Kid Press. Workbook Series Deluxe Edition Page. Humble Math. Brain Quest Workbook: Kindergarten. Lisa Trumbauer.
Brain Quest Workbook, Grade 2. Liane Onish. Danica McKellar. Brain Quest Workbook: Grade 3. Brain Quest Workbook: Grade 1. Brain Quest Workbook: Grade 4. Barbara Gregorich. Math Skillbuilders Grades 2 - 3 Step Ahead. The Learning Bugs. Andrea Scalzo Yi. Tracing Practice Book.
Ages Kindergarten Math Workbook. George McMath. Chris Ferrie. Brain Quest Workbook: Grade 6.We've researched and ranked the best logical reasoning books in the world, based on recommendations from world experts, sales data, and millions of reader ratings. Learn more. Kahneman 5.
Barack Obama A few months ago, Mr. For Mr. Obama, a deliberator in an instinctive business, this may be as instructive as any political science text. Bill Gates [On Bill Gates's reading list in Will stand as a cautionary tale? See more recommendations for this book An Eternal Golden Braid. Douglas R. Hofstadter 4. They have now. You should too.
Logic & Boolean Algebra
Kevin Kelly Over the years, I kept finding myself returning to its insights, and each time I would arrive at them at a deeper level. An Epic Search for Truth.
Apostolos Doxiadis, Christos Papadimitriou 4. Marcus du Sautoy This is quite a recent publication and I saw the first inklings of this graphic novel when I went to a meeting in Mykonos on maths and narrative and it really looked an incredibly exciting project.
But it brings alive one of the great stories of 20th-century Anthony Weston 4. Ludwig Wittgenstein and Bertrand Russell 4. Reid Hoffman Reid recommends studying Ludwig Wittgenstein, about whom he's taught a course at Oxford. What are the ways that language can work, and what are the way that It is beautiful. Nathaniel Bluedorn 4.
A Guide to Good Thinking. McInerny 4. Ernest Nagel, James R. Newman, Douglas R. The Impact of the Highly Improbable. Nassim Nicholas Taleb 4. That podcast changed my life He discusses Irving Copi 4. Lewis Carroll 4. Eric Weinstein [Eric Weinstein recommended this book on Twitter. Although the book is ancient, the humour feels modern Source.Skip to main content. Mathematical Logic. Customers also bought. Best sellers See more.
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