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Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on...
Provocative and immensely well informed, The Order of Things represents a substantial and original contribution to the fields of systematic theology, historical theology, and the science and religion dialogue. Leading theologian, Alister E. McGrath explores how the working methods and assumptions of the natural sciences can be used to inform and stimulate systematic theology. Written by one of today's best-known Christian writers Explores how the working methods and assumptions of the natural sciences can be used to inform and stimulate systematic theology Continues McGrath’s acclaimed exploration of scientific theology, begun with his groundbreaking three-volume work, A Scientific Theology Includes a landmark extended analysis of whether doctrinal development can be explained using Darwinian evolutionary models, and exploration of how the transition from a “scientific theology” to a future “scientific dogmatics” might be made Supported by a published review of McGrath’s scientific theology project, which is currently the best brief introduction to his thought.
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Stig Kanger (1924-1988) made important contributions to logic and formal philosophy. Kanger's dissertation Provability in Logic, 1957, contained significant results in proof theory as well as the first fully worked out model-theoretic interpretation of quantified modal logic. It is generally accepted nowadays that Kanger was one of the originators of possible worlds semantics for modal logic. Kanger's most original achievements were in the areas of general proof theory, the semantics of modal and deontic logic, and the logical analysis of the concept of rights. He also contributed to action theory, preference logic, and the theory of measurement. This is the first of two volumes dedicated to the work of Stig Kanger. The present volume is a complete collection of Kanger's philosophical papers. The second volume contains critical essays on Kanger's work, as well as biographical essays on Kanger written by colleagues and friends.
The revival of Calvinism in the nineteenth-century Netherlands entailed the neo-Calvinist movement. With Abraham Kuyper, Herman Bavinck became a brand name of neo-Calvinism. Nonetheless, not until the first decade of the twenty-first century was scholarly interest in Bavinck's work increasing. The conventional "two Bavincks" model used to read his work for much of the twentieth century argues that some contradictory and irreconcilable themes do exist in Bavinck's system, which makes Bavinck a self-contradictory thinker. This dualistic reading characterised most of Bavinck scholars in the second half of the twentieth century. Since James Eglinton's new reading of Bavinck's organic motif, the ...
This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. His dissertation, for example, promoted the calculus of variations, and he created the pivotal method in the theory of rating systems. The presentation of Zermelo's work explores motivations, aims, acceptance, and influence. Selected proofs and information gleaned from letters add to the analysis. The description of his personality owes much to conversations with his late wife Gertrud. This second edition provides additional information. The system of citations has been adapted to that of Zermelo's Collected Works in order to facilitate side-by-side reading and thus profit from the thorough commentaries written for the Collected Works by experts in the respective fields. All facts presented are documented by appropriate sources. The biography contains nearly 50 photos and facsimiles.
This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.
T. F. Torrance is widely regarded as the most significant British academic theologian of the twentieth century. He is especially noted for his ground-breaking contribution to the study of the relationship of Christian theology and the natural sciences. He is unquestionably one of the most prolific of theological writers and is the most senior member of the nearest thing to a 'theological dynasty' that Great Britain has ever produced. Here, Alister McGrath, himself one of this country's leading theologians, traces the development of Torrance's theological thought and provides a comprehensive account of his life and career. Particular attention is paid to the important role played by Torrance in the English-language reception of the theology of Karl Barth, and to his pioneering engagement with the relation between theology and science. While making extensive reference to Torrance's published works, McGrath also draws on important unpublished writings and private papers. The book contains many unpublished photograhs, together with a complete bibliography of Torrance's works.
This is a print on demand book and is therefore non- returnable. This book deals with the epistemological problems of rationality and of theory construction in theology. Van Huyssteen analyzes the principal models of rationality, examines the conceptual models of Wolfhart Pannenberg and Gerhard Sauter, and finally discusses the metaphoric nature of religious language and develops criteria for the structuring of a "critical- realist rationality model."
This is Volume X of seventeen in a collection on Metaphysics. Originally published in 1994, this text looks at the relevance of Alfred North Whitehead with a collection of philosophical essays on his ideas. He was a scientist-a mathematician and physicist. Then, on the eve of his retirement as professor of applied mathematics in the University of London, at the age of 63, he commenced his second career, as professor of philosophy in Harvard University.