The development of mathematical logic from Russell to Tarski, 1900-1935

In Leila Haaparanta, The development of modern logic. New York: Oxford University Press (2009)
  Copy   BIBTEX

Abstract

The period from 1900 to 1935 was particularly fruitful and important for the development of logic and logical metatheory. This survey is organized along eight "itineraries" concentrating on historically and conceptually linked strands in this development. Itinerary I deals with the evolution of conceptions of axiomatics. Itinerary II centers on the logical work of Bertrand Russell. Itinerary III presents the development of set theory from Zermelo onward. Itinerary IV discusses the contributions of the algebra of logic tradition, in particular, Löwenheim and Skolem. Itinerary V surveys the work in logic connected to the Hilbert school, and itinerary V deals specifically with consistency proofs and metamathematics, including the incompleteness theorems. Itinerary VII traces the development of intuitionistic and many-valued logics. Itinerary VIII surveys the development of semantical notions from the early work on axiomatics up to Tarski's work on truth.

Other Versions

No versions found

Similar books and articles

Developments in Logic: Carnap, Gödel, and Tarski.Erich H. Reck - 2013 - In Michael Beaney, The Oxford Handbook of The History of Analytic Philosophy. Oxford, England: Oxford University Press. pp. 546-571.

Analytics

Added to PP
2009-01-28

Downloads
2,796 (#4,124)

6 months
681 (#1,930)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Richard Zach
University of Calgary
Paolo Mancosu
University of California, Berkeley

Citations of this work

Logic in mathematics and computer science.Richard Zach - forthcoming - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger, Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.

View all 27 citations / Add more citations

References found in this work

On Denoting.Bertrand Russell - 1905 - Mind 14 (56):479-493.
Principles of mathematics.Bertrand Russell - 1931 - New York,: W.W. Norton & Company.
Tractatus logico-philosophicus.Ludwig Wittgenstein - 1922 - Filosoficky Casopis 52:336-341.
The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - London, England: Routledge & Kegan Paul. Edited by R. B. Braithwaite.
The Development of Logic.William Calvert Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.

View all 178 references / Add more references