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,
Logicism and its Philosophical Legacy
โ Scribed by William Demopoulos
- Publisher
- Cambridge University Press
- Year
- 2013
- Tongue
- English
- Leaves
- 286
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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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In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refin
1 online resource (vii, 286 pages) :
<DIV>Bertrand Russell was a central figure in the rise of analytic philosophy, and there are few works in the genre whose influence is comparable to <EM>The Principles of Mathematics</EM> (1903), a book that established him as a major force in British philosophy. <EM>Logic as Universal Science</EM>