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Undecidable Theories : Studies in Logic and the Foundation of Mathematics pdf
Undecidable Theories : Studies in Logic and the Foundation of Mathematics pdf
---------------------------------------------------------------
Author: Alfred Tarski
Number of Pages: 112 pages
Published Date: 24 Sep 2010
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486477039
File size: 16 Mb
Download Link: Undecidable Theories Studies in Logic and the Foundation of Mathematics
---------------------------------------------------------------
This graduate-level book is well known for its proof that many mathematical systems--including lattice theory, abstract projective geometry, and closure algebras--are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest logicians of all time. The first article, "A General Method in Proofs of Undecidability," examines theories with standard formalization, undecidable theories, interpretability, and relativization of quantifiers. The second feature, "Undecidability and Essential Undecidability in Mathematics," explores definability in arbitrary theories and the formalized arithmetic of natural numbers. It also considers recursiveness, definability, and undecidability in subtheories of arithmetic as well as the extension of results to other arithmetical theories. The compilation concludes with "Undecidability of the Elementary Theory of Groups."
Read online Undecidable Theories : Studies in Logic and the Foundation of Mathematics Buy Undecidable Theories : Studies in Logic and the Foundation of Mathematics Download and read Undecidable Theories : Studies in Logic and the Foundation of Mathematics ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Undecidable Theories : Studies in Logic and the Foundation of Mathematics
Undecidable Theories : Studies in Logic and the Foundation of Mathematics .Alfred Tarski
Author: Alfred Tarski
Number of Pages: 112 pages
Published Date: 24 Sep 2010
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486477039
File size: 16 Mb
Download Link: Undecidable Theories Studies in Logic and the Foundation of Mathematics
---------------------------------------------------------------
This graduate-level book is well known for its proof that many mathematical systems--including lattice theory, abstract projective geometry, and closure algebras--are undecidable. Based on research conducted from 1938 to 1952, it consists of three treatises by a prolific author who ranks among the greatest logicians of all time. The first article, "A General Method in Proofs of Undecidability," examines theories with standard formalization, undecidable theories, interpretability, and relativization of quantifiers. The second feature, "Undecidability and Essential Undecidability in Mathematics," explores definability in arbitrary theories and the formalized arithmetic of natural numbers. It also considers recursiveness, definability, and undecidability in subtheories of arithmetic as well as the extension of results to other arithmetical theories. The compilation concludes with "Undecidability of the Elementary Theory of Groups."
Read online Undecidable Theories : Studies in Logic and the Foundation of Mathematics Buy Undecidable Theories : Studies in Logic and the Foundation of Mathematics Download and read Undecidable Theories : Studies in Logic and the Foundation of Mathematics ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Undecidable Theories : Studies in Logic and the Foundation of Mathematics