The Development of Modern Logic

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Overview


This edited volume presents a comprehensive history of modern logic from the Middle Ages through the end of the twentieth century. In addition to a history of symbolic logic, the contributors also examine developments in the philosophy of logic and philosophical logic in modern times. The book begins with chapters on late medieval developments and logic and philosophy of logic from Humanism to Kant. The following chapters focus on the emergence of symbolic logic with special emphasis on the relations between logic and mathematics, on the one hand, and on logic and philosophy, on the other. This discussion is completed by a chapter on the themes of judgment and inference from 1837-1936. The volume contains a section on the development of mathematical logic from 1900-1935, followed by a section on main trends in mathematical logic after the 1930s. The volume goes on to discuss modal logic from Kant till the late twentieth century, and logic and semantics in the twentieth century; the philosophy of alternative logics; the philosophical aspects of inductive logic; the relations between logic and linguistics in the twentieth century; the relationship between logic and artificial intelligence; and ends with a presentation of the main schools of Indian logic.

The Development of Modern Logic includes many prominent philosophers from around the world who work in the philosophy and history of mathematics and logic, who not only survey developments in a given period or area but also seek to make new contributions to contemporary research in the field. It is the first volume to discuss the field with this breadth of coverage and depth, and will appeal to scholars and students of logic and its philosophy.

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Editorial Reviews

From the Publisher

"The present collection constitutes a valuable survey and rigorous examination of the categories of being, of the development of metaphysics over two and a half thousand years.... Students of metaphysics, and more senior researchers, will learn much from these twenty essays."--Stephen Read, Notre Dame Philosophical Reviews

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Product Details

  • ISBN-13: 9780195137316
  • Publisher: Oxford University Press, USA
  • Publication date: 7/2/2009
  • Pages: 1008
  • Product dimensions: 6.60 (w) x 9.40 (h) x 2.40 (d)

Meet the Author

Leila Haaparanta isProfessor of Philosophy, University of Tampere, Finland

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Table of Contents

1. Introduction, Leila Haaparanta
2. Late Medieval Logic, Tuomo Aho and Mikko Yrjönsuuri
3. Logic and Philosophy of Logic from Humanism to Kant, Mirella Capozzi and Gino Roncaglia
4. The Emergence of Symbolic Logic: the Interplay between Logic and Mathematics
The Mathematical Origins of Nineteenth Century Algebra of Logic, Volker Peckhaus; Gottlob Frege, Christian Thiel
5. The Emergence of Symbolic Logic: the Interplay between Logic and Philosophy
The Logic Question, Risto Vilkko
The Relations between Logic and Philosophy 1874-1931, Leila Haaparanta
6. A Century of Judgement and Inference: 1837-1936
Some Strands in the Development of Logic, G"oran Sundholm
7. The Development of Mathematical Logic from Russell to Tarski 1900-1935, Paolo Mancosu, Richard Zach, and Calixto Badesa
8. Main Trends in Mathematical Logic after the 1930s
Set Theory, Model Theory, and Computability Theory, Wilfrid Hodges
Proof Theory of Classical and Intuitionistic Logic, Jan von Plato; 9. Modal Logic from Kant to Possible Worlds Semantics, Tapio Korte, Ari Maunu, and Tuomo Aho
Appendix: Conditionals and Possible Worlds: On C. S. Peirce's Conception of Conditionals and Modalities, Risto Hilpinen
10. Logic and Semantics in the Twentieth Century, Gabriel Sandu and Tuomo Aho
11. The Philosophy of Alternative Logics, Andrew Aberdein and Stephen Read
12. Philosophy of Inductive Logic, Sandy Zabell
13. Logic and Linguistics in the Twentieth Century, Alessandro Lenci and Gabriel Sandu
14. Logic and Artificial Intelligence, Richmond Thomason
15. Indian Logic, J. N. Mohanty, S. R. Saha, Amita Chatterjee, Tushar Kanti Sarkar, and Sibajiban Bhattacharyya

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