The Development of Modern Logic
Haaparanta, Leila Professor, Department of Philosophy, University of Tampere, Finland
Print publication date: 2009 (this edition)
Published to Oxford Scholarship Online: September 2009
Print ISBN-13: 978-0-19-513731-6




4. The Mathematical Origins of Nineteenth-Century Algebra of Logic
doi:10.1093/acprof:oso/9780195137316.003.0018

Volker Peckhaus
Abstract: This chapter discusses the complex conditions for the emergence of 19th-century symbolic logic. The main scope will be on the mathematical motives leading to the interest in logic; the philosophical context will be dealt with only in passing. The main object of study will be the algebra of logic in its British and German versions. Special emphasis will be laid on the systems of George Boole (1815–1864) and above all of his German follower Ernst Schröder (1841–1902).

Keywords: symbolic logic, mathematics, George Boole, Ernst Schröder, algebra of logic,

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Contents
 
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Full Book Contents
Preface
1 Introduction
2 Late Medieval Logic
3 Logic and Philosophy of Logic from Humanism to Kant
4. The Mathematical Origins of Nineteenth-Century Algebra of Logic
5 Gottlob Frege and the Interplay between Logic and Mathematics
6 The Logic Question During the First Half of the Nineteenth Century
7 The Relations between Logic and Philosophy, 1874–1931
8 A Century of Judgment and Inference, 1837–1936: Some Strands in the Development of Logic
9 The Development of Mathematical Logic from Russell to Tarski, 1900–1935
10 Set Theory, Model Theory, and Computability Theory
11 Proof Theory of Classical and Intuitionistic Logic
12 Modal Logic from Kant to Possible Worlds Semantics
13 Logic and Semantics in the Twentieth Century
14. The Philosophy of Alternative Logics
15 Philosophy of Inductive Logic: The Bayesian Perspective
16 Logic and Linguistics in the Twentieth Century
17 Logic and Artificial Intelligence
18 Indian Logic
Index
 
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