Relation algebras are algebras arising from the study of binary relations.They form a part of the field of algebraic logic, and have applications in proof theory, modal logic, and computer science. This research text uses combinatorial games to study the fundamental notion of representations of relation algebras. Games allow an intuitive and appealing approach to the subject, and permit substantial advances to be made. The book contains many new results and proofs not published elsewhere. It should be invaluable to graduate students and researchers interested in relation algebras and games. After an introduction describing the authors' perspective on the material, the text proper has six parts. The lengthy first part is devoted to background material, including the formal definitions of relation algebras, cylindric algebras, their basic properties, and some connections between them. Examples are given. Part 1 ends with a short survey of other work beyond the scope of the book. In part 2, games are introduced, and used to axiomatise various classes of algebras. Part 3 discusses approximations to representability, using bases, relation algebra reducts, and relativised representations. Part 4 presents some constructions of relation algebras, including Monk algebras and the 'rainbow construction', and uses them to show that various classes of representable algebras are non-finitely axiomatisable or even non-elementary. Part 5 shows that the representability problem for finite relation algebras is undecidable, and then in contrast proves some finite base property results. Part 6 contains a condensed summary of the book, and a list of problems. There are more than 400 exercises. The book is generally self-contained on relation algebras and on games, and introductory text is scattered throughout. Some familiarity with elementary aspects of first-order logic and set theory is assumed, though many of the definitions are given. Chapter 2 introduces the necessary universal algebra and model theory, and more specific model-theoretic ideas are explained as they arise.
Appealing to word lovers of all ages, "F E G" is a playful collection of 24 original poems in which each individual poem is a puzzle using wordplay. Full color.
F E G: Ridiculous Poems for Intelligent Children, an eccentric collection by Robin Hirsch, contains engaging minimalist art by Ha (the pen name for a mysterious artist, said to be well-known, making his children's book debut). The poet's text uses the lush land of language for its grounding. The Hirsch sons, Benjamin and Alexander, open the book with introductions arguing whether the poems contained are stupid or not. Benjy, you win. They are not. They are wacky, but they are also searingly smart and challenging. --Naomi Shihab Nye, The New York Times Book Review.
Dear Mother and Father, After all those years, I was certain Jakob Hirsch had forgotten me. Then came his proposal of marriage. With more impulse than wisdom, I crossed the ocean to begin a new life with him in Shadow Creek, Idaho. Little did I dream of the changes eleven years had brought to the man I once loved—which included three small children waiting with him at the station. I will not marry a stranger who no longer loves me, but I have agreed to look after Jakob’s children until the harvest is in. A cabin on his property provides me with respectable living quarters. If only it were as easy to separate my heart from this family! It will be difficult to leave when the time comes, for I am falling in love with these little ones—and, truth be told, with Jakob. Your loving daughter, Karola Breit In Idaho, the land is good but life is hard for a German émigré whose dreams have turned to dust. Love found and lost can shatter a man’s faith. But it is about to strengthen that of the woman to whom he turns—and in the drought of summer, a withered promise springs to life. Promised to Me is book four in the Coming to America series about women who come to America to start new lives. Set in the late 1800s and early 1900s, these novels by best-selling author Robin Lee Hatcher craft intense chemistry and conflict between the characters, lit by a glowing faith and humanity that will win your heart. Look for other books in the series at your favorite Christian bookstore.
Dear Mother and Father, After all those years, I was certain Jakob Hirsch had forgotten me. Then came his proposal of marriage. With more impulse than wisdom, I crossed the ocean to begin a new life with him in Shadow Creek, Idaho. Little did I dream of the changes eleven years had brought to the man I once loved—which included three small children waiting with him at the station. I will not marry a stranger who no longer loves me, but I have agreed to look after Jakob’s children until the harvest is in. A cabin on his property provides me with respectable living quarters. If only it were as easy to separate my heart from this family! It will be difficult to leave when the time comes, for I am falling in love with these little ones—and, truth be told, with Jakob. Your loving daughter, Karola Breit In Idaho, the land is good but life is hard for a German émigré whose dreams have turned to dust. Love found and lost can shatter a man’s faith. But it is about to strengthen that of the woman to whom he turns—and in the drought of summer, a withered promise springs to life. Promised to Me is book four in the Coming to America series about women who come to America to start new lives. Set in the late 1800s and early 1900s, these novels by best-selling author Robin Lee Hatcher craft intense chemistry and conflict between the characters, lit by a glowing faith and humanity that will win your heart. Look for other books in the series at your favorite Christian bookstore.
Is it “just words” when a lawyer cross-examines a rape victim in the hopes of getting her to admit an interest in her attacker? Is it “just words” when the Supreme Court hands down a decision or when business people draw up a contract? In tackling the question of how an abstract entity exerts concrete power, Just Words focuses on what has become the central issue in law and language research: what language reveals about the nature of legal power. John M. Conley, William M. O'Barr, and Robin Conley Riner show how the microdynamics of the legal process and the largest questions of justice can be fruitfully explored through the field of linguistics. Each chapter covers a language-based approach to a different area of the law, from the cross-examinations of victims and witnesses to the inequities of divorce mediation. Combining analysis of common legal events with a broad range of scholarship on language and law, Just Words seeks the reality of power in the everyday practice and application of the law. As the only study of its type, the book is the definitive treatment of the topic and will be welcomed by students and specialists alike. This third edition brings this essential text up to date with new chapters on nonverbal, or “multimodal,” communication in legal settings and law, language, and race.
This book tells the story of the Yemeni people, treating them as a single people. It shows that all over South West Arabia a unique civilisation arose in antiquity and many of its manifestations so conformed to the Yemeni temperament that they have lingered, until the present day.
For ten years, Gabe Talmadge languished in prison, convicted of a horrible crime. Now, he is free once again but unable to find work in the midst of the Great Depression. In desperation, Gabe returns to Ransom, Idaho, hoping that his uncaring father will give him food and shelter, if not love. But the prodigal son is not welcomed home. Hungry and hopeless, Gabe is rescued by the owner of a sheep ranch south of Ransom. Incredibly, Akira Macauley gives him a place to live and work to do. More than that, she gives him hope. But just as Gabe comes to believe that happiness may be within his grasp, his life begins to unravel. Gabe must either sink again into an abyss of hopelessness or cling to a hope, faith, and love stronger than any he has ever known.
Expectations of the ISSP (Intensive Supervision and Surveillance Programme) and the ICCP (Intensive Control and Change Programme) have been high, but the evidence relating to their effectiveness is mixed. This book seeks to address these issues, providinga review of the literature, and presents findings of a national evaluation of ISSP.
The fascinating biography that illuminates the man whose work changed modern culture • Gives a complete biographical view of Campbell's life and a personal perspective of who he was through the voices of his friends and colleagues • Written by two of Campbell's preeminent students with exclusive access to his notes and journals Joseph Campbell forged an approach to the study of myth and legend that made ancient traditions and beliefs immediate, relevant, and universal. His teachings and literary works, including The Masks of God, have shown that beneath the apparent themes of world mythology lie patterns that reveal the ways in which we all may encounter the great mysteries of existence: birth, growth, soul development, and death. Biographers Stephen and Robin Larsen, students and friends of Campbell for more than 20 years, weave a rich tapestry of stories and insights that catalogue both his personal and public triumphs.
The definitive textbook for reflective professionals in further, adult and vocational education. Now updated with the latest research, the book offers extensive support for trainee and practising teachers in a variety of settings, for both practice-based training and career-long professionalism. Written by a collaborative author team of sector experts led by Maggie Gregson and Sam Duncan, Reflective Teaching in Further, Adult and Vocational Education offers two levels of support: - practical guidance for practitioner success, with a focus on the key issues including planning and assessing learning and collaborative approaches to reflective practice - evidence-informed 'principles' to aid understanding of how theories can effectively inform and develop teaching practices In addition to new case studies from a wider range of settings than ever before, the new edition offers broader national and international coverage, greater emphasis on work-based learning, and more ideas for exploring classroom communication and meeting a wider range of learner needs. Readings for Reflective Teaching in Further, Adult and Vocational Education directly compliments this book, providing access to key texts, working as a compact and portable library. reflectiveteaching.co.uk provides a treasure trove of additional support, including supplementary sector-specific material for considering questions around society's educational aims.
This work explores the social processes involved in technological innovation, particularly in relation to the Information and Communications Technologies (ICTs).
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