Introduction To Elementary Mathematical Logic PDF Download
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Author | : Abram Aronovich Stolyar |
Publisher | : Courier Corporation |
Total Pages | : 229 |
Release | : 1984-01-01 |
Genre | : Mathematics |
ISBN | : 0486645614 |
Download Introduction to Elementary Mathematical Logic Book in PDF, ePub and Kindle
This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.
Author | : Michal Walicki |
Publisher | : World Scientific Publishing Company |
Total Pages | : 304 |
Release | : 2016-08-12 |
Genre | : Mathematics |
ISBN | : 9814719986 |
Download Introduction To Mathematical Logic (Extended Edition) Book in PDF, ePub and Kindle
This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
Author | : Abram A. Stoljar |
Publisher | : |
Total Pages | : 209 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Introduction to Elementary Mathematical Logic Book in PDF, ePub and Kindle
Author | : Alonzo Church |
Publisher | : |
Total Pages | : 142 |
Release | : 1965 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Download Introduction to Mathematical Logic Book in PDF, ePub and Kindle
Author | : Abram Aronovich Stoli︠a︡r |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : 9780486829111 |
Download Introduction to Elementary Mathematical Logic Book in PDF, ePub and Kindle
Author | : H.-D. Ebbinghaus |
Publisher | : Springer Science & Business Media |
Total Pages | : 290 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 1475723555 |
Download Mathematical Logic Book in PDF, ePub and Kindle
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Author | : Peter G. Hinman |
Publisher | : CRC Press |
Total Pages | : 894 |
Release | : 2018-10-08 |
Genre | : Mathematics |
ISBN | : 1439864276 |
Download Fundamentals of Mathematical Logic Book in PDF, ePub and Kindle
This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.
Author | : Joseph Mileti |
Publisher | : Cambridge University Press |
Total Pages | : 518 |
Release | : 2022-08-31 |
Genre | : Mathematics |
ISBN | : 1108968198 |
Download Modern Mathematical Logic Book in PDF, ePub and Kindle
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.
Author | : Christopher C. Leary |
Publisher | : Lulu.com |
Total Pages | : 382 |
Release | : 2015 |
Genre | : Education |
ISBN | : 1942341075 |
Download A Friendly Introduction to Mathematical Logic Book in PDF, ePub and Kindle
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.
Author | : Patrick Suppes |
Publisher | : Courier Corporation |
Total Pages | : 336 |
Release | : 2012-07-12 |
Genre | : Mathematics |
ISBN | : 0486138054 |
Download Introduction to Logic Book in PDF, ePub and Kindle
Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.