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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: Barbara Bailey Kelley
Publisher: ReadHowYouWant.com
ISBN: 1459619331
Category : Business & Economics
Languages : en
Pages : 410
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Book Description
Large Print.
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: 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: Rod Girle
Publisher: McGill-Queen's Press - MQUP
ISBN: 0773526676
Category : Modality (Logic)
Languages : en
Pages : 226
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Book Description
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 Smullyan
Publisher: CRC Press
ISBN: 143986537X
Category : Games & Activities
Languages : en
Pages : 332
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Book Description
This book features a unique approach to the teaching of mathematical logic by putting it in the context of the puzzles and paradoxes of common language and rational thought. It serves as a bridge from the author's puzzle books to his technical writing in the fascinating field of mathematical logic. Using the logic of lying and truth-telling, the au
Author: Lyn Cote
Publisher: Harper Collins
ISBN: 0061939552
Category : Fiction
Languages : en
Pages : 323
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Book Description
The second book in the Texas: Star of Destiny series by Lyn Cote, Her Inheritance Forever is an unforgettable story of faith, duty, destiny, and love that unites a proud Tejano lady and an American cowboy in a time of great upheaval in the West. A 2006 Rita Award finalist, author Lyn Cote demonstrates the great power and range of inspirational fiction in Her Inheritance Forever, as two hearts are joined and tested amid the historic events—including the legendary stand at the Alamo—that would ultimately lead to Texas statehood.
Author: Joe Salerno
Publisher: OUP Oxford
ISBN: 0191608688
Category : Philosophy
Languages : en
Pages : 897
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Book Description
In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Ever since, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability. This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. The volume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modal and temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.
