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The Development of Modern Logic$
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Leila Haaparanta

Print publication date: 2009

Print ISBN-13: 9780195137316

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780195137316.001.0001

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The Development of Mathematical Logic from Russell to Tarski, 1900–1935

The Development of Mathematical Logic from Russell to Tarski, 1900–1935

Chapter:
(p.318) 9 The Development of Mathematical Logic from Russell to Tarski, 1900–1935
Source:
The Development of Modern Logic
Author(s):

Paolo Mancosu (Contributor Webpage)

Richard Zach

Calixto Badesa

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195137316.003.0029

This chapter presents itineraries in the history of mathematical logic from the period 1900–1935. By focusing on a narrower range of topics, the chapter improves on the existing literature on the history of logic. The itineraries include: metatheoretical properties of axiomatic systems; Bertrand Russell's mathematical logic; Zermelo's axiomatization of set theory and related foundational issues; the theory of relatives and Löwenheim's Theorem; logic in the Hilbert school; proof theory and arithmetic; intuitionism and many-valued logics; and semantics and model-theoretic notions.

Keywords:   intuitionism, logic, Bertrand Russell, Zermelo, Löwenheim, Hilbert, proof theory, axiomatic systems

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