John P. Burgess

Gideon Rosen

Numbers and other mathematical objects are exceptional in having no locations in space or time or relations of cause and effect. This makes it difficult to account for the possibility of the knowledge of such objects, leading many philosophers to embrace nominalism, the doctrine that there are no such objects, and to embark on ambitious projects for interpreting mathematics so as to preserve the subject while eliminating its objects. A Subject With No Object cuts through a host of technicalities that have obscured previous discussions of these projects, and presents clear, concise accounts, with minimal prerequisites, of a dozen strategies for nominalistic interpretation of mathematics, thus equipping the reader to evaluate each and to compare different ones. The authors also offer critical discussion, rare in the literature, of the aims and claims of nominalistic interpretation, suggesting that it is significant in a very different way from that usually assumed.

Strategies for Nominalistic Interpretation of Mathematics

A Subject With No Object

Selected Philosophical Essays

Mathematics, Models, and Modality

N. V. Gerbeleu

V. B. Arion

The synthesis of macrocycles is an art in itself. Template-controlled synthesis provides elegant access to fascinating macrocyclic structures. Polyazamacrocycles, crown ethers, cryptands, rotaxanes, knots -- the range of macrocyclic compounds is as broad as their potential application as molecular switches, in ion exchange, electron transfer or catalysis. This book provides authoritative information on all aspects of template-controlled macrocyclizations. It covers in depth the current state of research on template processes - novel synthetic techniques and mechanistic approaches. The critical discussion of the diverse synthetic routes includes the detailed characterization of the broad variety of macrocyclic products. References to applications of macrocyclic compounds and over 1,500 citations make this handbook an indispensable tool for chemists in academia and industry. Researchers in organic and supramolecular chemistry, biotechnology, and inorganic chemistry will find inspiration for the design, synthesis, and myriad uses of new synthetic macrocycles.

Template Synthesis of Macrocyclic Compounds

Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic (temporal, modal, conditional, relevantistic, and intuitionistic), focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances the philosophical and technical aspects of the subject. The book emphasizes the relationship between models and the traditional goal of logic, the evaluation of arguments, and critically examines apparatus and assumptions that often are taken for granted. Philosophical Logic provides an unusually thorough treatment of conditional logic, unifying probabilistic and model-theoretic approaches. It underscores the variety of approaches that have been taken to relevantistic and related logics, and it stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Each chapter ends with a brief guide to further reading. Philosophical Logic addresses students new to logic, philosophers working in other areas, and specialists in logic, providing both a sophisticated introduction and a new synthesis.

Philosophical Logic

A fascinating, vivid, and on-the-ground account of Russian Orthodoxy's resurgence A bold experiment is taking place in Russia. After a century of being scarred by militant, atheistic communism, the Orthodox Church has become Russia's largest and most significant nongovernmental organization. As it has returned to life, it has pursued a vision of reclaiming Holy Rus' that historical yet mythical homeland of the eastern Slavic peoples; a foretaste of the perfect justice, peace, harmony, and beauty for which religious believers long; and the glimpse of heaven on earth that persuaded Prince Vladimir to accept Orthodox baptism in Crimea in A.D. 988. Through groundbreaking initiatives in religious education, social ministry, historical commemoration, and parish life, the Orthodox Church is seeking to shape a new, post-communist national identity for Russia. In this eye-opening and evocative book, John Burgess examines Russian Orthodoxy's resurgence from a grassroots level, providing Western readers with an enlightening, inside look at the new Russia.

The Rebirth of Orthodoxy in the New Russia

Holy Rus'

Jerry Andrews

Joseph D. Small

How can pastors thrive amid the demands of being preacher, therapist, administrator, and CEO? We need a contemporary pastoral rule: a pattern for ministry that encourages and enables pastors to focus on what is most important in their pastoral task. Written by three veteran pastors, this book gives examples of pastoral rules in communities throughout the church's history, providing concrete advice on how pastors can develop and keep a pastoral rule today.

Reviving an Ancient Practice

A Pastoral Rule for Today

Richard C. Jeffrey

The first beginning logic text to employ the tree method—a complete formal system of first-order logic that is remarkably easy to understand and use—this text allows students to take control of the nuts and bolts of formal logic quickly, and to move on to more complex and abstract problems.This new edition provides additional problems, solutions to selected problems, and two new Supplements: “Truth-Functional Equivalence” reinstates material on that topic from the second edition that was omitted in the third, and “Variant Methods, in which John Burgess provides a proof regarding the possibility of modifying the tree method so that it will always find a finite model when there is one, and another, which shows that a different modification—once contemplated by Jeffrey—can result in a dramatic speed-up of certain proofs.

Its Scope and Limits

Formal Logic

Michael Weinrich

This book offers a Reformed perspective on contemporary ecumenical discussion by carefully exploring the biblical message of justification and then demonstrating how justification as a doctrine functions as an integrative theological principle. Written by an international group of distinguished Reformed scholars, with the support of the World Alliance of Reformed Churches, What Is Justification About? also considers the relevance of justification for social ethics and contemporary cultural issues. / Contributors: Martien Brinkman, John P. Burgess, George Hunsinger, Chris Mostert, Fazakas Sndor, Dirkie Smit, Laura Smit, Katherine Sonderegger, Henk M. Vroom, John Webster, Michael Weinrich.

Reformed Contributions to an Ecumenical Theme

What Is Justification About?

George S. Boolos

Now in its fourth edition, this book has become a classic because of its accessibility to tudents without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. John Burgess has now enhanced the book by adding a selection of problems at the end of each chapter, and by reorganising and rewriting chapters to make them more independent of each other.

Computability and Logic

When author and theologian John P. Burgess first travelled to Russia, he was hoping to expand his theological horizons and explore the rebirth of the Orthodox Church since the fall of Communism. But what he found changed some fundamental assumptions about his own tradition of North American Protestantism. In this book, Burgess looks to Orthodoxy to help the North American Protestant churchwhich has seen membership decline to below 50% of the population for the first timefind new ways to worship, teach, and spread its message. He considers Orthodox rituals, icons, the attention to saints and miracles, monastic life, and Eucharistic theology and practice. He then explores whether and how Protestants can use these elements of Orthodoxy to help revitalize the mainline church. Burgess helpfully demonstrates the ways in which Orthodoxy calls us back to what is most important in Christian faith and life.

How Protestant Churches Can Reform Themselves Again

Encounters with Orthodoxy

Alexis G. Burgess

This is a concise introduction to current philosophical debates about truth. Combining philosophical and technical material, the book is organized around, but not limited to, the view known as deflationism. In clear language, Burgess and Burgess cover a wide range of issues, including the nature of truth, the status of truth-value gaps, the relationship between truth and meaning, relativism and pluralism about truth, and semantic paradoxes from Alfred Tarski to Saul Kripke and beyond. The book provides a rich picture of contemporary philosophical theorizing about truth, one that will be essential reading for philosophy students as well as philosophers specializing in other areas.

Truth

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual.

John P. Burgess

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