The Logic in Philosophy of Science

Hans Halvorson (Princeton University, New Jersey)

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English

Cambridge University Press
11 July 2019

Philosophy: logic

Major 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.

By: Hans Halvorson (Princeton University New Jersey)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm, Spine: 20mm
Weight: 690g
ISBN: 9781107110991
ISBN 10: 1107110998
Pages: 304
Publication Date: 11 July 2019
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction: 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.

Hans 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.

Reviews for The Logic in Philosophy of Science

'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