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Elements of Logic and Foundations of Mathematics in Problems

Elements of Logic and Foundations of Mathematics in Problems Author Wiktor Marek
ISBN-10 9027721319
Release 1985-10-31
Pages 276
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Elements of Logic and Foundations of Mathematics in Problems has been writing in one form or another for most of life. You can find so many inspiration from Elements of Logic and Foundations of Mathematics in Problems also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of Logic and Foundations of Mathematics in Problems book for free.



Logical Foundations of Mathematics and Computational Complexity

Logical Foundations of Mathematics and Computational Complexity Author Pavel Pudlák
ISBN-10 9783319001197
Release 2013-04-22
Pages 695
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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.



Elements of Mathematical Logic

Elements of Mathematical Logic Author Georg Kreisel
ISBN-10 0444534121
Release 1967
Pages 222
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Elements of Mathematical Logic has been writing in one form or another for most of life. You can find so many inspiration from Elements of Mathematical Logic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of Mathematical Logic book for free.



Foundations of Logic and Mathematics

Foundations of Logic and Mathematics Author Yves Nievergelt
ISBN-10 9781461201250
Release 2012-12-06
Pages 415
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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.



The Logical Foundations of Mathematics

The Logical Foundations of Mathematics Author William S. Hatcher
ISBN-10 9781483189635
Release 2014-05-09
Pages 330
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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.



Essays on the Foundations of Mathematics and Logic

Essays on the Foundations of Mathematics and Logic Author Giandomenico Sica
ISBN-10 9788876990144
Release 2005-01-01
Pages 351
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Essays on the Foundations of Mathematics and Logic has been writing in one form or another for most of life. You can find so many inspiration from Essays on the Foundations of Mathematics and Logic also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Essays on the Foundations of Mathematics and Logic book for free.



The Foundations of Mathematics

The Foundations of Mathematics Author Ian Stewart
ISBN-10 0198531656
Release 1977
Pages 263
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"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books



Handbook of Mathematical Logic

Handbook of Mathematical Logic Author J. Barwise
ISBN-10 0080933645
Release 1982-03-01
Pages 1164
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The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.



The Foundations of Mathematics and Other Logical Essays

The Foundations of Mathematics and Other Logical Essays Author Frank Plumpton Ramsey
ISBN-10 0415225469
Release 2001
Pages 292
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First published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.



Undecidable Theories

Undecidable Theories Author Alfred Tarski
ISBN-10 9780444533784
Release 1953
Pages 98
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Undecidable Theories has been writing in one form or another for most of life. You can find so many inspiration from Undecidable Theories also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Undecidable Theories book for free.



Introduction to the Foundations of Mathematics

Introduction to the Foundations of Mathematics Author Raymond L. Wilder
ISBN-10 9780486276205
Release 2013-09-26
Pages 352
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Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.



Logical foundations of mathematics for behavioral scientists

Logical foundations of mathematics for behavioral scientists Author Abraham S. Luchins
ISBN-10 UCAL:B4120130
Release 1965
Pages 436
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Logical foundations of mathematics for behavioral scientists has been writing in one form or another for most of life. You can find so many inspiration from Logical foundations of mathematics for behavioral scientists also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Logical foundations of mathematics for behavioral scientists book for free.



The Elements of Mathematical Logic

The Elements of Mathematical Logic Author Paul C. Rosenbloom
ISBN-10 9780486446172
Release 2005
Pages 214
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This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.



The Foundations of Mathematics in the Theory of Sets

The Foundations of Mathematics in the Theory of Sets Author John P. Mayberry
ISBN-10 0521770343
Release 2000
Pages 424
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.



Topics in Logic Philosophy and Foundations of Mathematics and Computer Science

Topics in Logic  Philosophy and Foundations of Mathematics  and Computer Science Author Stanisław Krajewski
ISBN-10 1586038141
Release 2007-01-01
Pages 365
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Professor Andrzej Grzegorczyk has made fundamental contributions to logic and to philosophy. This volume honors Professor Grzegorczyk, the nestor of Polish logicians, on his 85th anniversary. It presents the work and life of Professor Grzegorczyk.



Elements of Mathematics

Elements of Mathematics Author John Stillwell
ISBN-10 9781400880560
Release 2016-05-31
Pages 440
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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics—but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.



Handbook of Proof Theory

Handbook of Proof Theory Author S.R. Buss
ISBN-10 0080533183
Release 1998-07-09
Pages 810
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This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth. The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.