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OverviewMajor figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory can be reduced to one in which all truths are analytic. This book dissects these and other arguments through in-depth investigation of the mathematical facts undergirding them. It presents a systematic, mathematically rigorous account of the key notions arising from such debates, including theory, equivalence, translation, reduction, and model. The result is a far-reaching reconceptualization of the role of formal methods in answering philosophical questions. Full Product DetailsAuthor: Hans Halvorson (Princeton University, New Jersey)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 17.80cm , Height: 2.00cm , Length: 25.40cm Weight: 0.690kg ISBN: 9781107110991ISBN 10: 1107110998 Pages: 304 Publication Date: 11 July 2019 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction: 1. Invitation to metatheory; 2. The category of sets; 3. The category of propositional theories; 4. Syntactic metalogic; 5. Syntactic metalogic redux; 6. Semantic metalogic; 7. Semantic metalogic redux; 8. From metatheory to philosophy.Reviews'This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge `This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge Advance praise: 'This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge Advance praise: 'This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge `This book offers a masterful and comprehensive treatment of the metalogical concepts, distinctions and theorems with which modern philosophy of science is so heavily involved. Both students and professionals in the field can expect to learn much from Halvorson's patient and lucid exposition. Any serious student of general philosophy of science will want to refer to it repeatedly.' Arif Ahmed, University of Cambridge Author InformationHans Halvorson is Stuart Professor of Philosophy at Princeton University, New Jersey. He has written extensively on philosophical issues in physics and the other sciences, on mathematical logic, and on the relationship between science and religion. Tab Content 6Author Website:Countries AvailableAll regions |