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"Uses a detailed empirical examination of policies in health services, education, social security and taxation to illustrate how policies can be designed to give the proper balance of motivation and agency." - cover.
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
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!
Times are changing in Rendelsham. The old King is dead, and the foolish Prince Florian has assumed the throne. Florian's mother, Queen Ysa of the House of Oak, still controls the land from behind the scences, but her job grows more difficult every day. Her unworthy, headstrong son is harder to control than her husband was, and she must spend more time than ever masking her own movements. Her husband's illegitimate daughter Ashen, heir to the nearly dead House of Ash, still causes trouble by her very existence, and must never be given an opening to the throne. The barbarian Sea-Rover clan presents problems from the edge of the Bog, Ysa's newest magical ally has been exposed as a traitor, and nothing is going as Ysa had planned. And still the unknown yet encroaching threat from the North continues to grow. Through births and deaths, marriages and duels, love and betrayal, magic and force, the four Houses of Rendelsham can only survive by the strength of their unity--but is unity possible in such a court of intrigue as this one?
A celebrated mathematician presents more than 200 increasingly complex problems that delve into Gödel's undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Solutions.
An entertaining and captivating way to learn the fundamentals of using algorithms to solve problems The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm guru Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents you with a readable, entertaining, and energetic book that will motivate and challenge you to open your mind to the algorithmic nature of problem solving. Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges Features a theory section that supports each of the puzzles presented throughout the book Assumes only an elementary understanding of mathematics Let Roland Backhouse and his four decades of experience show you how you can solve challenging problems with algorithms!
Life is tough and cheerless for Billy Casper, a disillusioned teenager growing up in a small Yorkshire mining town. Violence is commonplace and he is frequently cold and hungry. Yet he is determined to be a survivor and when he finds Kes, a kestrel hawk he discovers a passion in life. Billy identifies with her proud silence and she inspired in him the trust and love that nothing else can. Intense and raw and bitingly honest, A KETREL FOR A KNAVE was first published in 1968 and was also madeinto a highly acclaimed film, 'Kes', directed by Ken Loach.
From highwaymen to healing waters and from brewerys to bridges, not to mention lots of castles, cathedrals, abbeys, towers, passage tombs and priories, this collection of fascinating stories, which started as a regular series in the 'Kilkenny People', details the lore and landmarks of County Kilkenny from top to bottom. Read the fascinating stories of the thatched villages of South Kilkenny, of Ballyspellan Spa, of the trio of treasures at Kilree, of Dunmore Cave and, in the city itself, of Rothe House and the Bishop's Palace. You can also learn all about Cushendale Woollen Mills, Fiddown Nature Reserve and the burial place of King Heremon. Locals and visitors alike will find plenty of interest in this quirky collection.
"'Twas December 24th, and three brave knights were just settling in for the night when out on the drawbridge, there arose such a clatter! The knights try everything to get rid of this unknown invader (Santa Claus!), a red and white knight with a fleet of dragons"--
Aboutness has been studied from any number of angles. Brentano made it the defining feature of the mental. Phenomenologists try to pin down the aboutness-features of particular mental states. Materialists sometimes claim to have grounded aboutness in natural regularities. Attempts have even been made, in library science and information theory, to operationalize the notion. But it has played no real role in philosophical semantics. This is surprising; sentences have aboutness-properties if anything does. Aboutness is the first book to examine through a philosophical lens the role of subject matter in meaning. A long-standing tradition sees meaning as truth-conditions, to be specified by listing the scenarios in which a sentence is true. Nothing is said about the principle of selection--about what in a scenario gets it onto the list. Subject matter is the missing link here. A sentence is true because of how matters stand where its subject matter is concerned. Stephen Yablo maintains that this is not just a feature of subject matter, but its essence. One indicates what a sentence is about by mapping out logical space according to its changing ways of being true or false. The notion of content that results--directed content--is brought to bear on a range of philosophical topics, including ontology, verisimilitude, knowledge, loose talk, assertive content, and philosophical methodology. Written by one of today's leading philosophers, Aboutness represents a major advance in semantics and the philosophy of language.