This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights
Introduction to Mathematical Logic, V1: Princeton Mathematical Series
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Sein und Schein: Die kritische Funktion der Hegelschen Logik. Frankfurt a/M.: Suhrkamp, 1980. [Wallace, 1894] W. Wallace. Prolegomena to the Study of Hegel's Philosophy and especially of his Logic. Oxford: Clarendon, 1894.
With the publication of the present volume, the Handbook of the History of Logic turns its attention to the remarkable renaissance of modal logic in the 20th century. Beginning with...
In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects ...
It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large.
This volume covers the period from the beginning of Whitehead and Russell's work on Volume 2 of the Principles of Mathematics to the critical discovery of the theory of descriptions in 1905.
The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel.
An excellent introduction to mathematical logic, this book provides readers with a sound knowledge of the most important approaches to the subject, stressing the use of logical methods in attacking nontrivial problems.
Russell's views on the nature of propositions committed him implicitly to certain views regarding their identity ... Church built his formulation of Russellian intensional logic on his reconstruction of the system of Principia ...