Logicism and its Philosophical Legacy [Paperback]

These essays apply the core conceptual innovation underlying Frege's theory of number to the general analysis of theoretical knowledge.This book will appeal to readers interested in analytic philosophy and its history. Avoiding mathematical detail and locating the relevant developments in their historical context, the book explains and extends recent advances in the philosophy of mathematics and our understanding of questions about the nature of scientific reality.This book will appeal to readers interested in analytic philosophy and its history. Avoiding mathematical detail and locating the relevant developments in their historical context, the book explains and extends recent advances in the philosophy of mathematics and our understanding of questions about the nature of scientific reality.The idea that mathematics is reducible to logic has a long history, but it was Frege who gave logicism an articulation and defense that transformed it into a distinctive philosophical thesis with a profound influence on the development of philosophy in the twentieth century. This volume of classic, revised and newly written essays by William Demopoulos examines logicism's principal legacy for philosophy: its elaboration of notions of analysis and reconstruction. The essays reflect on the deployment of these ideas by the principal figures in the history of the subject  Frege, Russell, Ramsey and Carnap  and in doing so illuminate current concerns about the nature of mathematical and theoretical knowledge. Issues addressed include the nature of arithmetical knowledge in the light of Frege's theorem; the status of realism about the theoretical entities of physics; and the proper interpretation of empirical theories that postulate abstract structural constraints.Preface; Introduction; 1. Frege's analysis of arithmetical knowledge; 2. Carnap's thesis, on extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy; 3. Carnap's analysis of realism; 4. BelãI