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The Unprovability of Consistency

The Unprovability of Consistency Author George Boolos
ISBN-10 0521092973
Release 2009-01-08
Pages 196
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The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted for at least thirty years between the followers of C. I. Lewis and W. V. O. Quine. The author employs semantic methods developed by Saul Kripke in his analysis of modal logical systems. The book will be of interest to advanced undergraduate and graduate students in logic, mathematics and philosophy, as well as to specialists in those fields.



Logic Logic and Logic

Logic  Logic  and Logic Author George Boolos
ISBN-10 067453767X
Release 1999
Pages 443
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George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.



ABPR

ABPR Author
ISBN-10 STANFORD:36105210122367
Release 1979
Pages
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ABPR has been writing in one form or another for most of life. You can find so many inspiration from ABPR also informative, and entertaining. Click DOWNLOAD or Read Online button to get full ABPR book for free.



Subject Catalog

Subject Catalog Author Library of Congress
ISBN-10 WISC:89126008606
Release
Pages
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British Book News

British Book News Author
ISBN-10 UOM:39015036923947
Release 1980
Pages
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British Book News has been writing in one form or another for most of life. You can find so many inspiration from British Book News also informative, and entertaining. Click DOWNLOAD or Read Online button to get full British Book News book for free.



American Book Publishing Record

American Book Publishing Record Author
ISBN-10 MINN:319510006947102
Release 1979
Pages
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American Book Publishing Record has been writing in one form or another for most of life. You can find so many inspiration from American Book Publishing Record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Book Publishing Record book for free.



Kurt G del

Kurt G  del Author Solomon Feferman
ISBN-10 9781139487757
Release 2010-04-19
Pages
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Kurt Gödel (1906–1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Gödel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Gödel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.



Weekly Record

Weekly Record Author
ISBN-10 UOM:39015058359491
Release 1978
Pages
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Philosophical Logic

Philosophical Logic Author George Englebretsen
ISBN-10 9781441119117
Release 2011-03-24
Pages 208
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Introduces students to non-classical logic, syllogistic, to quantificational and modal logic. The book includes exercises throughout and a glossary of terms and symbols.



Logique et analyse

Logique et analyse Author
ISBN-10 UVA:X000860226
Release 1983
Pages
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Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society Author
ISBN-10 UOM:49015003188456
Release 1983
Pages
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Bulletin new Series of the American Mathematical Society

Bulletin  new Series  of the American Mathematical Society Author
ISBN-10 UCAL:B3970566
Release 1983
Pages
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Revue Roumaine de Math matiques Pures Et Appliqu es

Revue Roumaine de Math  matiques Pures Et Appliqu  es Author
ISBN-10 UCR:31210014116188
Release 1976
Pages
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Revue Roumaine de Math matiques Pures Et Appliqu es has been writing in one form or another for most of life. You can find so many inspiration from Revue Roumaine de Math matiques Pures Et Appliqu es also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Revue Roumaine de Math matiques Pures Et Appliqu es book for free.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015078588632
Release 2008
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



The Logic of Provability

The Logic of Provability Author George Boolos
ISBN-10 0521483255
Release 1995-04-28
Pages 275
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Boolos, a pre-eminent philosopher of mathematics, investigates the relationship between provability and modal logic.



Andrzej Mostowski and Foundational Studies

Andrzej Mostowski and Foundational Studies Author A. Ehrenfeucht
ISBN-10 9781607502722
Release 2008-03-06
Pages 460
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Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of the foundations of mathematics. The complete detailed bibliography of Mostowski's writings is included. For many years after WWII and especially in the late sixties and until his untimely death in 1975, Warsaw, where he led the centre of foundational studies, was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.



An Introduction to G del s Theorems

An Introduction to G  del s Theorems Author Peter Smith
ISBN-10 9781107022843
Release 2013-02-21
Pages 406
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A clear and accessible treatment of Gödel's famous, intriguing, but much misunderstood incompleteness theorems, extensively revised in a second edition.