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Reverse mathematics 2001

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Published by A K Peters, Ltd. in Wellesley, MA .
Written in English

Subjects:

  • Reverse mathematics.

Book details:

Edition Notes

Includes bibliographical references.

Statementedited by Stephen G. Simpson.
SeriesLecture notes in logic ;, 21
ContributionsSimpson, Stephen G. 1945-
Classifications
LC ClassificationsQA9.25 .R48 2005
The Physical Object
Paginationp. cm.
ID Numbers
Open LibraryOL3424632M
ISBN 101568812639, 1568812647
LC Control Number2005047606

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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Reverse mathematics is a program of research in the foundations of mathematics. Find helpful customer reviews and review ratings for Reverse Mathematics Lecture Notes in Logic 21 at Read honest and unbiased product reviews from our users.5/5.   The first book surveying the history and ideas behind reverse mathematics Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic/5(18).   ―Jeremy Avigad, Carnegie Mellon University "Reverse mathematics is a major research direction in the foundations of mathematics and mathematical logic, and the insights obtained from reverse mathematics will interest a wide mathematically minded audience. Stillwell's book is self-contained and includes much background material in analysis, Cited by:

ISBN: OCLC Number: Description: x, pages: illustrations ; 24 cm. Contents: Possible m-diagrams of models of arithmetic / Andrew Arana --Weak theories of nonstandard arithmetic and analysis / Jeremy Avigad --Notions of compactness in weak subsystems of second order arithmetic / Douglas K. Brown --Proof-theoretic . Editorial team. General Editors: David Bourget (Western Ontario) David Chalmers (ANU, NYU) Area Editors: David Bourget Gwen BradfordAuthor: Stephen Simpson. "Reverse mathematics is a major research direction in the foundations of mathematics and mathematical logic, and the insights obtained from reverse mathematics will interest a wide mathematically minded audience. The reverse mathematics of Ramsey-type theorems In this thesis, we investigate the computational content and the logical strength of Ramsey’s theorem and its consequences. For this, we use the frameworks of reverse mathematics and of computable reducibility. We proceed to a systematic study of various Ramsey-type statements.

Reverse Mathematics goes in the other direction by taking a theorem and finding the axioms needed to prove it. It is an interesting approach to Analysis, but I dont really know all that much With Reverse Mathematics John Stillwell demonstrates the ideas and properties of Reverse Mathematics/5. "Reverse mathematics is a major research direction in the foundations of mathematics and mathematical logic, and the insights obtained from reverse mathematics will interest a wide mathematically minded audience. Stillwell's book is self-contained and includes much background material in analysis, mathematical logic, /5(18). VOLUME ON REVERSE MATHEMATICS Editor: Stephen G. Simpson Title: Reverse Mathematics Publication: All papers have been refereed. The volume was published in in the Association for Symbolic Logic's book series, Lecture Notes in Logic, X + pages. Papers: Andrew Arana: Possible m-Diagrams of Models of Arithmetic. 16 pages. No part of this book may be distributed, posted, or reproduced in any form by digital or mechanical means without prior written permission of the publisher. For general queries, contact [email protected] i i Mathematics Stillwell, J.: Reverse Mathematics: Proofs from the Inside Out (Hardcover and eBook) File Size: 1MB.