Foundations Of Logic And Mathematics PDF Download
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| Author | : Yves Nievergelt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 425 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146120125X |
Download Foundations of Logic and Mathematics Book in PDF, ePub and Kindle
This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.
| Author | : William S. Hatcher |
| Publisher | : Elsevier |
| Total Pages | : 331 |
| Release | : 2014-05-09 |
| Genre | : Mathematics |
| ISBN | : 1483189635 |
Download The Logical Foundations of Mathematics Book in PDF, ePub and Kindle
The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.
| Author | : G. T. Kneebone |
| Publisher | : Dover Publications |
| Total Pages | : 0 |
| Release | : 2001 |
| Genre | : Logic, Symbolic and mathematical |
| ISBN | : 9780486417127 |
Download Mathematical Logic and the Foundations of Mathematics Book in PDF, ePub and Kindle
Ideal for students intending to specialize in the topic. Part I discusses traditional and symbolic logic. Part II explores the foundations of mathematics. Part III focuses on the philosophy of mathematics.
| Author | : Haskell Brooks Curry |
| Publisher | : Courier Corporation |
| Total Pages | : 420 |
| Release | : 1977-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780486634623 |
Download Foundations of Mathematical Logic Book in PDF, ePub and Kindle
Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.
| 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 | : 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 | : Marcin Trepczyński |
| Publisher | : BRILL |
| Total Pages | : 316 |
| Release | : 2021-01-25 |
| Genre | : Philosophy |
| ISBN | : 9004445951 |
Download Philosophical Approaches to the Foundations of Logic and Mathematics Book in PDF, ePub and Kindle
Philosophical Approaches to the Foundations of Logic and Mathematics consists of eleven articles addressing various aspects of the "roots" of logic and mathematics, their basic concepts and the mechanisms that work in the practice of their use.
| Author | : Pavel Pudlák |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 699 |
| Release | : 2013-04-22 |
| Genre | : Mathematics |
| ISBN | : 3319001191 |
Download Logical Foundations of Mathematics and Computational Complexity Book in PDF, ePub and Kindle
The two main themes of this book, logic and complexity, are both essential for understanding the main problems about the foundations of mathematics. Logical Foundations of Mathematics and Computational Complexity covers a broad spectrum of results in logic and set theory that are relevant to the foundations, as well as the results in computational complexity and the interdisciplinary area of proof complexity. The author presents his ideas on how these areas are connected, what are the most fundamental problems and how they should be approached. In particular, he argues that complexity is as important for foundations as are the more traditional concepts of computability and provability. Emphasis is on explaining the essence of concepts and the ideas of proofs, rather than presenting precise formal statements and full proofs. Each section starts with concepts and results easily explained, and gradually proceeds to more difficult ones. The notes after each section present some formal definitions, theorems and proofs. Logical Foundations of Mathematics and Computational Complexity is aimed at graduate students of all fields of mathematics who are interested in logic, complexity and foundations. It will also be of interest for both physicists and philosophers who are curious to learn the basics of logic and complexity theory.
| Author | : Frank Plumpton Ramsey |
| Publisher | : Routledge |
| Total Pages | : 312 |
| Release | : 2013-10-15 |
| Genre | : Philosophy |
| ISBN | : 1134528108 |
Download Foundations of Mathematics and other Logical Essays Book in PDF, ePub and Kindle
This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
| 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.
