Lectures On Mathematical Logic
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Popular Lectures On Mathematical Logic
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Author : Hao Wang
language : en
Publisher: Courier Corporation
Release Date : 2014-09-22
Popular Lectures On Mathematical Logic written by Hao Wang and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-22 with Mathematics categories.
Noted logician discusses both theoretical underpinnings and practical applications, exploring set theory, model theory, recursion theory and constructivism, proof theory, logic's relation to computer science, and other subjects. 1981 edition, reissued by Dover in 1993 with a new Postscript by the author.
Lectures On Mathematical Logic
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Author : Walter Felscher
language : en
Publisher: CRC Press
Release Date : 2014-04-21
Lectures On Mathematical Logic written by Walter Felscher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-21 with Mathematics categories.
In this volume, logic starts from the observation that in everyday arguments, as brought forward by say a lawyer, statements are transformed linguistically, connecting them in formal ways irrespective of their contents. Understanding such arguments as deductive situations, or "sequents" in the technical terminology, the transformations between them can be expressed as logical rules. The book concludes with the algorithms producing the results of Gentzen's midsequent theorem and Herbrand's theorem for prenex formulas.
Lectures In Logic And Set Theory Volume 1 Mathematical Logic
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Author : George Tourlakis
language : en
Publisher: Cambridge University Press
Release Date : 2003-01-09
Lectures In Logic And Set Theory Volume 1 Mathematical Logic written by George Tourlakis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-09 with Mathematics categories.
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.
Aspects Of Mathematical Logic
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Author : E. Casari
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-06
Aspects Of Mathematical Logic written by E. Casari and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-06 with Mathematics categories.
H. Hermes: Basic notions and applications of the theory of decidability.- D. Kurepa: On several continuum hypotheses.- A. Mostowski: Models of set theory.- A. Robinson: Problems and methods of model theory.- S. Sochor, B. Balcar: The general theory of semisets. Syntactic models of the set theory.
Mathematical Logic
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Author : George J. Tourlakis
language : en
Publisher:
Release Date : 2003
Mathematical Logic written by George J. Tourlakis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Electronic books categories.
Lectures On The Logic Of Computer Programming
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Author : Zohar Manna
language : en
Publisher: SIAM
Release Date : 1980-01-01
Lectures On The Logic Of Computer Programming written by Zohar Manna and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Computers categories.
This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933
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Author : William Ewald
language : de
Publisher: Springer-Verlag
Release Date : 2013-05-14
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933 written by William Ewald and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-14 with Mathematics categories.
The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge der theoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.
Logicism Renewed
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Author : Paul C. Gilmore
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-30
Logicism Renewed written by Paul C. Gilmore and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-30 with Mathematics categories.
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. Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In this volume, the twenty-third publication in the Lecture Notes in Logic series, Paul C. Gilmore revisits logicism in light of recent advances in mathematical logic and theoretical computer science. Gilmore addresses the need for languages which can be understood by both humans and computers and, using Intensional Type Theory (ITT), provides a unified basis for mathematics and computer science. This yields much simpler foundations for recursion theory and the semantics of computer programs than those currently provided by category theory.
Logic Colloquium 02 Lecture Notes In Logic 27
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Author : Zoe Chatzidakis
language : en
Publisher: CRC Press
Release Date : 2006-07-13
Logic Colloquium 02 Lecture Notes In Logic 27 written by Zoe Chatzidakis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-13 with Mathematics categories.
Logic Colloquium '02 includes articles from some of the world's preeminent logicians. The topics span all areas of mathematical logic, but with an emphasis on Computability Theory and Proof Theory. This book will be of interest to graduate students and researchers in the field of mathematical logic.
Nonstandard Methods And Applications In Mathematics
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Author : Nigel J. Cutland
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-30
Nonstandard Methods And Applications In Mathematics written by Nigel J. Cutland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-30 with Mathematics categories.
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. This volume, the twenty-fifth publication in the Lecture Notes in Logic series, grew from a conference on Nonstandard Methods and Applications in Mathematics held in Pisa, Italy from 12–16 June, 2002. It contains ten peer-reviewed papers that aim to provide something more timely than a textbook, but less ephemeral than a conventional proceedings. Nonstandard analysis is one of the great achievements of modern applied mathematical logic. These articles consider the foundations of the subject, as well as its applications to pure and applied mathematics and mathematics education.
