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Perspectives on the History of Mathematical Logic: Modern Birkhäuser Classics

Editat de Thomas Drucker
en Limba Engleză Paperback – 4 ian 2008
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked.
The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
“…this is an important book. It exposes the richness of ideas and viewpoints, the difficult and not always direct pathways taken in the development of mathematical logic in the last century, and the various factors which did and continue to affect that development.”
Modern Logic
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Specificații

ISBN-13: 9780817647681
ISBN-10: 0817647686
Pagini: 195
Ilustrații: XXV, 195 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.38 kg
Ediția:Reprint of the 1991 ed.
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Modern Birkhäuser Classics

Locul publicării:Boston, MA, United States

Public țintă

Research

Cuprins

The Problem of Elimination in the Algebra of Logic.- Peirce and the Law of Distribution.- The First Russell Paradox.- Principia Mathematica and the Development of Automated Theorem Proving.- Oswald Veblen and the Origins of Mathematical Logic at Princeton.- The Löwenheim-Skolem Theorem, Theories of Quantification, and Proof Theory.- The Reception of Gödel’s Incompleteness Theorems.- Gödel’s and Some Other Examples of Problem Transmutation.- The Development of Self-Reference: Löb’s Theorem.- The Unintended Interpretations of Intuitionistic Logic.- The Writing of Introduction to Metamathematics.- In Memoriam: Haskell Brooks Curry.- The Work of J. Richard Büchi.

Recenzii

Praise for the first edition:
"…the standard of the articles in Drucker’s book is high and the book can be recommended to anyone interested in the history and development of mathematical logic this century." – Newsletter of the New Zealand Mathematical Society
"…this is an important book. It exposes the richness of ideas and viewpoints, the difficult and not always direct pathways taken in the development of mathematical logic in the last century, and the various factors which did and continue to affect that development." —Modern Logic
"Logicians with a side-interest in the development of their field will enjoy it, and will not find it taxing in either mathematical or historical detail. The human as well as the scientific side of the growth of important ideas and institutions are treated at an expansive level." —Journal of Symbolic Logic

Textul de pe ultima copertă

This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked.
The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
 
"…the standard of the articles in Drucker’s book is high and the book can be recommended to anyone interested in the history and development of mathematical logic this century." – Newsletter of the New Zealand Mathematical Society
"…this is an important book. It exposes the richness of ideas and viewpoints, the difficult and not always direct pathways taken in the development of mathematical logic in the last century, and the various factors which did and continue to affect that development." —Modern Logic
"Logicians with a side-interest in the development of their field will enjoy it, and will not find it taxing in either mathematical or historical detail. The human as well as the scientific side of the growth of important ideas and institutions are treated at an expansive level." —Journal of Symbolic Logic

Caracteristici

Presents a history of an important field in mathematics and philosophy Focuses on specific topics as to which are not covered elsewhere Includes articles that are both mathematically technical and easily understood by non-mathematicians