A Mathematical Introduction To Logic
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A Mathematical Introduction to Logic
Author | : Herbert B. Enderton |
Publsiher | : Elsevier |
Total Pages | : 330 |
Release | : 2001-01-23 |
Genre | : Computers |
ISBN | : 9780080496467 |
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A Mathematical Introduction to Logic
An Introduction to Mathematical Logic
Author | : Richard E. Hodel |
Publsiher | : Courier Corporation |
Total Pages | : 514 |
Release | : 2013-01-01 |
Genre | : Mathematics |
ISBN | : 9780486497853 |
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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Elements of Set Theory
Author | : Herbert B. Enderton |
Publsiher | : Academic Press |
Total Pages | : 279 |
Release | : 1977-05-23 |
Genre | : Mathematics |
ISBN | : 9780080570426 |
Download Elements of Set Theory Book in PDF, Epub and Kindle
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
A Friendly Introduction to Mathematical Logic
Author | : Christopher C. Leary,Lars Kristiansen |
Publsiher | : Lulu.com |
Total Pages | : 382 |
Release | : 2015 |
Genre | : Education |
ISBN | : 9781942341079 |
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At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Modern Mathematical Logic
Author | : Joseph Mileti |
Publsiher | : Cambridge University Press |
Total Pages | : 518 |
Release | : 2022-08-31 |
Genre | : Mathematics |
ISBN | : 9781108968195 |
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This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject.
An Introduction to G del s Theorems
Author | : Peter Smith |
Publsiher | : Cambridge University Press |
Total Pages | : 376 |
Release | : 2007-07-26 |
Genre | : Mathematics |
ISBN | : 9780521857840 |
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Peter Smith examines Gödel's Theorems, how they were established and why they matter.
A Concise Introduction to Mathematical Logic
Author | : Wolfgang Rautenberg |
Publsiher | : Springer |
Total Pages | : 337 |
Release | : 2010-07-01 |
Genre | : Mathematics |
ISBN | : 9781441912213 |
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Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Introduction to Mathematical Logic
Author | : Elliot Mendelsohn |
Publsiher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9781461572886 |
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This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.