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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

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

Paolo Mancosu (Contributor Webpage)

Richard Zach

Calixto Badesa

Oxford University Press

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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