The Development of Modern Logic

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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.

Author(s): Leila Haaparanta
Publisher: Oxford University Press, USA
Year: 2009

Language: English
Pages: 1005

Contents......Page 8
Contributors......Page 10
1. Introduction......Page 14
2. Late Medieval Logic......Page 22
3. Logic and Philosophy of Logic from Humanism to Kant......Page 89
4. The Mathematical Origins of Nineteenth-Century Algebra of Logic......Page 170
5. Gottlob Frege and the Interplay between Logic and Mathematics......Page 207
6. The Logic Question During the First Half of the Nineteenth Century......Page 214
7. The Relations between Logic and Philosophy, 1874–1931......Page 233
8. A Century of Judgment and Inference, 1837–1936: Some Strands in the Development of Logic......Page 274
9. The Development of Mathematical Logic from Russell to Tarski, 1900–1935......Page 329
10. Set Theory, Model Theory, and Computability Theory......Page 482
11. Proof Theory of Classical and Intuitionistic Logic......Page 510
12. Modal Logic from Kant to Possible Worlds Semantics......Page 527
Appendix to Chapter 12: Conditionals and Possible Worlds: On C. S. Peirce’s Conception of Conditionals and Modalities......Page 562
13. Logic and Semantics in the Twentieth Century......Page 573
14. The Philosophy of Alternative Logics......Page 624
15. Philosophy of Inductive Logic: The Bayesian Perspective......Page 735
16. Logic and Linguistics in the Twentieth Century......Page 786
17. Logic and Artificial Intelligence......Page 859
18. Indian Logic......Page 914
A......Page 974
B......Page 976
C......Page 977
D......Page 979
F......Page 981
G......Page 982
H......Page 984
I......Page 985
J......Page 986
K......Page 987
L......Page 988
M......Page 992
P......Page 994
R......Page 997
S......Page 999
T......Page 1002
V......Page 1003
Y......Page 1004
Z......Page 1005