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| Author | : Robert S. Wolf |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 397 |
| Release | : 2005-12-31 |
| Genre | : Algebra, Abstract |
| ISBN | : 161444028X |
Download A Tour Through Mathematical Logic Book in PDF, ePub and Kindle
A Tour Through Mathematical Logic provides a tour through the main branches of the foundations of mathematics. It contains chapters covering elementary logic, basic set theory, recursion theory, Gödel's (and others') incompleteness theorems, model theory, independence results in set theory, nonstandard analysis, and constructive mathematics. In addition, this monograph discusses several topics not normally found in books of this type, such as fuzzy logic, nonmonotonic logic, and complexity theory.
| Author | : Robert S. Wolf |
| Publisher | : Cambridge University Press |
| Total Pages | : 424 |
| Release | : 2005-03-10 |
| Genre | : Mathematics |
| ISBN | : 9780883850367 |
Download A Tour Through Mathematical Logic Book in PDF, ePub and Kindle
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gdel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
| Author | : Robert S. Wolf |
| Publisher | : Mathematical Association of America |
| Total Pages | : 414 |
| Release | : 2010-09-16 |
| Genre | : Mathematics |
| ISBN | : 9780883850428 |
Download A Tour through Mathematical Logic Book in PDF, ePub and Kindle
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gödel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
| Author | : Richard E. Hodel |
| Publisher | : Courier Corporation |
| Total Pages | : 514 |
| Release | : 2013-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486497852 |
Download An Introduction to Mathematical Logic Book in PDF, ePub and Kindle
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.
| Author | : Howard DeLong |
| Publisher | : Courier Corporation |
| Total Pages | : 322 |
| Release | : 2012-09-26 |
| Genre | : Mathematics |
| ISBN | : 0486139158 |
Download A Profile of Mathematical Logic Book in PDF, ePub and Kindle
This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work.
| 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 | : Martin Hils |
| Publisher | : |
| Total Pages | : |
| Release | : 2019 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : 9781470454074 |
Download A First Journey Through Logic Book in PDF, ePub and Kindle
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each.
| Author | : Hao Wang |
| Publisher | : Courier Corporation |
| Total Pages | : 292 |
| Release | : 2014-09-22 |
| Genre | : Mathematics |
| ISBN | : 0486171043 |
Download Popular Lectures on Mathematical Logic Book in PDF, ePub and Kindle
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.
| Author | : Wolfgang Rautenberg |
| Publisher | : Springer |
| Total Pages | : 337 |
| Release | : 2010-07-01 |
| Genre | : Mathematics |
| ISBN | : 1441912215 |
Download A Concise Introduction to Mathematical Logic Book in PDF, ePub and Kindle
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.
| 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.
