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Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307962466
Category : Mathematics
Languages : en
Pages : 286
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Book Description
Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. 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!
Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307962466
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
Forever Undecided is the most challenging yet of Raymond Smullyan’s puzzle collections. It is, at the same time, an introduction—ingenious, instructive, entertaining—to Gödel’s famous theorems. 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!
Author: Rod Girle
Publisher: McGill-Queen's Press - MQUP
ISBN: 0773526676
Category : Modality (Logic)
Languages : en
Pages : 226
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Book Description
Author: Barbara Kelley
Publisher: Seal Press
ISBN: 1580054021
Category : Business & Economics
Languages : en
Pages : 290
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Book Description
In a world of unprecedented opportunity—and pressure—women are struggling more than ever to make career decisions and move forward without second-guessing themselves. Young women graduate from college and believe they have to find the perfect path and then can’t decide which way to go. Undecided is an invaluable guide to this cultural phenomenon of "analysis paralysis.” Looking at both what the media and academic studies have reported on women, careers, and particularly the undecided phenomenon—as well as personal accounts from numerous women—mother and daughter Barbara and Shannon Kelley discuss how we got to this frustrating place, why it affects women in particular, and how today’s culture fuels our fears and distractions. The Kelleys cast a critical eye upon the psychology behind the pressure to choose, and they argue that if women are going to succeed in rising above the often-crippling demands of the modern world they need to take action . . . starting with a serious shift in perspective.
Author: John P. Burgess
Publisher: Cambridge University Press
ISBN: 113947054X
Category : Science
Languages : en
Pages : 253
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Book Description
John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.
Author: Raymond M. Smullyan
Publisher: Knopf
ISBN: 0307819825
Category : Games & Activities
Languages : en
Pages : 281
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Book Description
More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.
Author: Jessica Brody
Publisher: Farrar, Straus and Giroux (BYR)
ISBN: 1429940999
Category : Young Adult Fiction
Languages : en
Pages : 317
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Book Description
PLEASE READ THIS! MY LIFE DEPENDS ON IT! Okay, maybe that was a bit melodramatic, but I'm sorry, I'm feeling a bit melodramatic at the moment. Here's the deal. My name is Brooklyn Pierce, I'm fifteen years old, and I am decisionally challenged. Seriously, I can't remember the last good decision I made. I can remember plenty of crappy ones though. Including that party I threw when my parents were out of town that accidentally burned down a model home. Yeah, not my finest moment, for sure. But see, that's why I started a blog. To enlist readers to make my decisions for me. That's right. I gave up. Threw in the towel. I let someone else decide which book I read for English. And whether or not I accepted an invitation to join the debate team from that cute-in-a-dorky-sort-of-way guy who gave me the Heimlich maneuver in the cafeteria. (Note to self: chew the melon before swallowing it.) I even let them decide who I dated! Well, it turns out there are some things in life you simply can't choose or have chosen for you—like who you fall in love with. And now everything's more screwed up than ever. But don't take my word for it. Read the book and decide for yourself. You'll laugh, you'll cry, you'll scream in frustration. Or maybe that's just me. After all, it's my life.
Author: Adam Gollner
Publisher: Simon and Schuster
ISBN: 1439109435
Category : Health & Fitness
Languages : en
Pages : 416
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Book Description
An exploration of one of the most universal human obsessions charts the rise of longevity science from its alchemical beginnings to modern-day genetic interventions and enters the world of those whose lives are shaped by a belief in immortality.
Author: Ana Helvia Quintero
Publisher: World Scientific
ISBN: 1783268662
Category : Mathematics
Languages : en
Pages : 290
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Book Description
The methods for teaching mathematics usually follow the structure of mathematics. The problem with this is that the structure of mathematics took centuries of elaboration to develop and is not the same as how one originally experiences mathematics. Based on research of how mathematics is actually learned, this book presents an innovative approach for teaching mathematics that will engage pupils and can have lifelong benefits for how they take on board more advanced mathematical topics.Math Makes Sense! makes use of the realistic mathematics education (RME) philosophy, which bridges the gap between informal mathematics learning (such as in day-to-day life) and more formal teaching in school. Many real-life situations as examples for learning are included, as well as different mathematical and logic puzzles that will stimulate learning and foster understanding.The ideas presented are not confined to one national curriculum and so can be helpful worldwide to teachers/ instructors (both in practice and those still in training), private tutors, homeschooling parents, and educational researchers.
Author: United States. Congress. House. Committee on Armed Services. Defense Policy Panel
Publisher:
ISBN:
Category : Political Science
Languages : en
Pages : 642
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Book Description
Author: Kyoichi Kijima
Publisher: Springer Nature
ISBN: 9811699410
Category : Business & Economics
Languages : en
Pages : 261
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Book Description
This book is in honor of Yasuhiko Takahara, a first-class researcher who has been active for some 50 years at the global level in systems research. Researchers and practitioners from Japan and other countries who have been influenced by Takahara have come together from far and wide to contribute their major research masterpieces in the field of systems research in the broadest sense. While the roots of Takahara’s systems research are in general systems theory and systems control theory, he developed his research and teaching in diverse directions such as management information science, engineering, social simulation, and systems thinking. As a result, many of the researchers and practitioners he supervised or influenced have established their own positions and are now active around the world in a wide range of systems research. Volume II is a collection of their masterpieces or representative works in the fields of systems management theory and practice.
