Proof Theory

Second Edition

Nonfiction, Science & Nature, Mathematics, Logic
Cover of the book Proof Theory by Gaisi Takeuti, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Gaisi Takeuti ISBN: 9780486320670
Publisher: Dover Publications Publication: October 10, 2013
Imprint: Dover Publications Language: English
Author: Gaisi Takeuti
ISBN: 9780486320670
Publisher: Dover Publications
Publication: October 10, 2013
Imprint: Dover Publications
Language: English

Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.
The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.
The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Gödel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.

More books from Dover Publications

Cover of the book Hints on Household Taste by Gaisi Takeuti
Cover of the book Solution of Certain Problems in Quantum Mechanics by Gaisi Takeuti
Cover of the book Miss Beecher's Domestic Receipt-Book by Gaisi Takeuti
Cover of the book The Tale of Genji by Gaisi Takeuti
Cover of the book Essential Dutch Grammar by Gaisi Takeuti
Cover of the book An Introduction to the Study of Experimental Medicine by Gaisi Takeuti
Cover of the book Topology for Analysis by Gaisi Takeuti
Cover of the book Margeau Chapeau by Gaisi Takeuti
Cover of the book There's a Saying for That by Gaisi Takeuti
Cover of the book John Ransom's Civil War Diary by Gaisi Takeuti
Cover of the book Blake's Water-Colours for the Poems of Thomas Gray by Gaisi Takeuti
Cover of the book Knitted Toys by Gaisi Takeuti
Cover of the book Spoon River Anthology by Gaisi Takeuti
Cover of the book Eight Cousins by Gaisi Takeuti
Cover of the book Letters of Emily Dickinson by Gaisi Takeuti
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy