Title
From Frege to Godel: A Source Book in Mathematical Logic, 18791931 (Source Books in History of Sciences),Used
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The 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 Freges Begriffsschrift that opened a great epoch in the history of logic by presenting, in fullfledged form, the propositional calculus and quantification theory.Freges 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. Peano and Dedekind illustrate the trend that led to Principia Mathematica. BuraliForti, Cantor, Russell, Richard, and Knig 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 Lwenheims theorem, and he and Fraenkel amend Zermelos 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 Gdel, including the latters famous incompleteness paper.Of the fortyfive contributions here collected all but five are presented in extenso. Those not 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 note that sets it in perspective, explains its importance, and points out difficulties in interpretation. Editorial comments and footnotes are interpolated where needed, and an extensive bibliography is included.
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We provide a 2-year limited warranty, from the date of purchase for all our products.
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Frequently Asked Questions
- Q: What is the main focus of 'From Frege to Godel'? A: The book focuses on fundamental texts from the classical period of modern logic, covering contributions from key figures such as Frege, Cantor, Russell, and Gödel.
- Q: Who is the author of the book? A: The author of 'From Frege to Godel' is Jean van Heijenoort.
- Q: What is the publication date of this book? A: The book was published on January 1, 2002.
- Q: How many pages does 'From Frege to Godel' have? A: The book contains 680 pages.
- Q: Is this book suitable for beginners in logic? A: While the book is comprehensive and includes significant texts, it may be more suitable for readers with some background in logic due to the complexity of the material.
- Q: What condition is the book in? A: The book is listed as 'New' and is in good condition.
- Q: What type of binding does this book have? A: The book is available in paperback binding.
- Q: Does the book include translations of non-English texts? A: Yes, the book includes translations of several texts that were not originally written in English, done by skilled translators.
- Q: What topics are covered in the book? A: The book covers various topics including propositional calculus, quantification theory, set theory, paradoxes, and proof theory.
- Q: Are there any editorial comments included in the book? A: Yes, the book includes editorial comments and footnotes where needed, as well as an extensive bibliography.