UID:
almahu_9947414710702882
Format:
1 online resource (xii, 272 pages) :
,
digital, PDF file(s).
ISBN:
9781139342605 (ebook)
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Frege's analysis of arithmetical knowledge -- Carnap's thesis -- On extending 'empiricism, semantics and ontology' to the realism-instrumentalism controversy -- Carnap's analysis of realism -- Bertrand Russell's The analysis of matter: its historical context and contemporary interest (with Michael Friedman) -- On the rational reconstruction of our theoretical knowledge -- Three views of theoretical knowledge -- Frege and the rigorization of analysis -- The philosophical basis of our knowledge of number -- The 1910 Principia's theory of functions and classes -- Ramsey's extensional propositional functions.
Additional Edition:
Print version: ISBN 9781107029804
Language:
English
URL:
https://doi.org/10.1017/CBO9781139342605
URL:
https://doi.org/10.1017/CBO9781139342605
URL:
Volltext
(lizenzpflichtig)
