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.
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