Drucker Perspectives on the History of Mathematical Logic

Erscheinungsjahr 2009
ISBN: 978-0-8176-4769-8
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 195 Seiten, eBook

Reihe: Modern Birkhäuser Classics

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

Zielgruppe

Research

Autoren/Hrsg.

Drucker, Thomas

Inhaltsverzeichnis

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.