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- DescriptionThe fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was the publication in 1879 of Gottlob Frege's Begriffsschrift that opened a great epoch in the history of logic by presenting, in full-fledged form, the propositional calculus and quantification theory.Frege's book, translated in its entirety, begins the present volume. The emergence of two new fields, set theory and foundations of mathematics, on the borders of logic, mathematics, and philosophy, is depicted by the texts that follow. Pea and Dedekind illustrate the trend that led to Principia Mathematica. Burali-Forti, Cantor, Russell, Richard, and Konig mark the appearance of the modern paradoxes. Hilbert, Russell, and Zermelo show various ways of overcoming these paradoxes and initiate, respectively, proof theory, the theory of types, and axiomatic set theory. Skolem generalizes Lowenheim's theorem, and heand Fraenkel amend Zermelo's axiomatization of set theory, while von Neumann offers a somewhat different system. The controversy between Hubert and Brouwer during the twenties is presented in papers of theirs and in others by Weyl, Bernays, Ackermann, and Kolmogorov. The volume concludes with papers by Herbrand and by Godel, including the latter's famous incompleteness paper.Of the forty-five contributions here collected all but five are presented in extenso. Those t originally written in English have been translated with exemplary care and exactness; the translators are themselves mathematical logicians as well as skilled interpreters of sometimes obscure texts. Each paper is introduced by a te that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and foottes are interpolated where needed, and an extensive bibliography is included.
- Author BiographyJean van Heijenoort, well known in the fields of mathematical logic and foundations of mathematics, is Professor of Philosophy at Brandeis University and has taught at New York and Columbia Universities.
- Author(s)Jean van Heijenoort
- PublisherHarvard University Press
- Date of Publication01/07/1990
- Series TitleSource Books in the History of the Sciences
- Place of PublicationCambridge, Mass
- Country of PublicationUnited States
- ImprintHarvard University Press
- Content Note1 halftone
- Weight1085 g
- Width165 mm
- Height254 mm
- Spine44 mm
- Format DetailsUnsewn / adhesive bound,Trade paperback (US)
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