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Logic, Symbolic and mathematical. --- Frege, Gottlob --- Logic, Symbolic and mathematical --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Frege, Gottlob, --- Frege, G. --- Fu-lei-ko, --- Frege, Friedrich Gottlob, --- פרגה, גוטלוב, --- Frege, Friedrich Ludwig Gottlob,
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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.
Logic, Symbolic and mathematical. --- Mathematics --- Philosophy. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic of mathematics --- Mathematics, Logic of --- Arts and Humanities --- Philosophy
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Burgess explores how dissident groups in Eastern Europe drew on church symbols and language to develop a popular alternative theology and how the theological tension between the church and the dissidents provided impulses for political democratisation.
Church and state --- Communism and Christianity --- Democracy --- Christianity and democracy --- Christianity and communism --- Christianity --- Religious aspects --- Christianity. --- Germany (East) --- Church history.
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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.
Logic. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Methodology
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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.
National characteristics, Russian --- Christianity and culture --- History --- Russkai︠a︡ pravoslavnai︠a︡ t︠s︡erkovʹ --- Influence. --- Russia (Federation) --- Church history
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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. --- Conviction --- Belief and doubt --- Philosophy --- Skepticism --- Certainty --- Necessity (Philosophy) --- Pragmatism --- Alfred Tarski. --- Aristotle. --- Davidsonianism. --- Dummettianism. --- Frank P. Ramsey. --- Saul Kripke. --- W. V. Quine. --- antirealism. --- axiomatic theories. --- communication. --- contextualist solutions. --- correspondence theories. --- defeatism. --- deflationism. --- denial strategy. --- deviance strategy. --- direct definition. --- dis"ationalism. --- disqualification strategy. --- doublespeak strategy. --- equivalence principle. --- formal language. --- holism. --- inconsistency theories. --- indeterminacy. --- inflationism. --- logical solutions. --- mathematics. --- meaning. --- metalanguage. --- minimum fixed point. --- model theory. --- normativity. --- object language. --- paraconsistency. --- paradoxes. --- physicalism. --- pluralism. --- presupposition. --- realism. --- redundancy theory. --- reference. --- relativism. --- relativity. --- revenge. --- revision theories. --- self-reference. --- semantic truth. --- sentences. --- slogans. --- transfinite construction. --- truth predicate. --- truth-conditional semantics. --- truth. --- truthmaker theories. --- ungroundedness. --- utility. --- vagueness. --- value. --- verification-conditional semantics.
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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.
Computable functions --- Recursive Functions --- Logic, symbolic and mathematical --- Computable functions. --- Recursive functions. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Functions, Recursive --- Algorithms --- Arithmetic --- Logic, Symbolic and mathematical --- Number theory --- Recursion theory --- Decidability (Mathematical logic) --- Computability theory --- Functions, Computable --- Partial recursive functions --- Recursive functions, Partial --- Constructive mathematics --- Foundations --- Arts and Humanities --- Philosophy
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This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book 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. 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 and thus to increase the range of options available to instructors as to what to cover and what to defer.
Computable functions. --- Recursive functions. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Functions, Recursive --- Algorithms --- Arithmetic --- Logic, Symbolic and mathematical --- Number theory --- Recursion theory --- Decidability (Mathematical logic) --- Computability theory --- Functions, Computable --- Partial recursive functions --- Recursive functions, Partial --- Constructive mathematics --- Foundations --- Computable functions --- Recursive functions --- Arts and Humanities --- Philosophy
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Pastoral theology. --- Care of souls --- Cure of souls --- Ministry --- Pastoral office and work --- Theology, Pastoral --- Church work --- Pastoral care
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