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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.



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 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.



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



Foundations and Fundamental Concepts of Mathematics

Foundations and Fundamental Concepts of Mathematics Author Howard Eves
ISBN-10 9780486132204
Release 2012-04-10
Pages 368
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Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.



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.



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.



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.



Logic Foundations of Mathematics and Computability Theory

Logic  Foundations of Mathematics  and Computability Theory Author Robert E. Butts
ISBN-10 9789401011389
Release 2012-12-06
Pages 416
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The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of fields not always obviously related. In addition, the volume of work done by first rate scholars and scientists in the various fields of the Division has risen enormously. For these and related reasons it seemed to the editors chosen by the Divisional officers that the usual format of publishing the proceedings of the Congress be abandoned in favour of a somewhat more flexible, and hopefully acceptable, method of pre sentation. Accordingly, the work of the invited participants to the Congress has been divided into four volumes appearing in the University of Western Ontario Series in Philosophy of Science. The volumes are entitled, Logic, Foundations of Mathematics and Computability Theory, Foun dational Problems in the Special Sciences, Basic Problems in Methodol ogy and Linguistics, and Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science.



Principia Mathematica

Principia Mathematica Author Alfred North Whitehead
ISBN-10 UOM:39015002922899
Release 1912
Pages
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Principia Mathematica has been writing in one form or another for most of life. You can find so many inspiration from Principia Mathematica also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Principia Mathematica book for free.



Logic

Logic Author Wilfrid Hodges
ISBN-10 UOM:39015041082093
Release 1996-08-22
Pages 536
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The volume contains 21 essays by leading authorities on aspects of contemporary mathematical logic, including set theory, model theory, constructive mathematics and applications of computer science. It includes several expository papers



Foundations of Discrete Mathematics

Foundations of Discrete Mathematics Author K. D. Joshi
ISBN-10 8122401201
Release 1989
Pages 748
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This Book Is Meant To Be More Than Just A Text In Discrete Mathematics. It Is A Forerunner Of Another Book Applied Discrete Structures By The Same Author. The Ultimate Goal Of The Two Books Are To Make A Strong Case For The Inclusion Of Discrete Mathematics In The Undergraduate Curricula Of Mathematics By Creating A Sequence Of Courses In Discrete Mathematics Parallel To The Traditional Sequence Of Calculus-Based Courses.The Present Book Covers The Foundations Of Discrete Mathematics In Seven Chapters. It Lays A Heavy Emphasis On Motivation And Attempts Clarity Without Sacrificing Rigour. A List Of Typical Problems Is Given In The First Chapter. These Problems Are Used Throughout The Book To Motivate Various Concepts. A Review Of Logic Is Included To Gear The Reader Into A Proper Frame Of Mind. The Basic Counting Techniques Are Covered In Chapters 2 And 7. Those In Chapter 2 Are Elementary. But They Are Intentionally Covered In A Formal Manner So As To Acquaint The Reader With The Traditional Definition-Theorem-Proof Pattern Of Mathematics. Chapters 3 Introduces Abstraction And Shows How The Focal Point Of Todays Mathematics Is Not Numbers But Sets Carrying Suitable Structures. Chapter 4 Deals With Boolean Algebras And Their Applications. Chapters 5 And 6 Deal With More Traditional Topics In Algebra, Viz., Groups, Rings, Fields, Vector Spaces And Matrices.The Presentation Is Elementary And Presupposes No Mathematical Maturity On The Part Of The Reader. Instead, Comments Are Inserted Liberally To Increase His Maturity. Each Chapter Has Four Sections. Each Section Is Followed By Exercises (Of Various Degrees Of Difficulty) And By Notes And Guide To Literature. Answers To The Exercises Are Provided At The End Of The Book.



Le niewski s Systems of Logic and Foundations of Mathematics

Le  niewski s Systems of Logic and Foundations of Mathematics Author Rafal Urbaniak
ISBN-10 9783319004822
Release 2013-09-24
Pages 229
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This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.​



Foundations of Mathematics

Foundations of Mathematics Author Andrés Eduardo Caicedo
ISBN-10 9781470422561
Release 2017-05-12
Pages 322
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This volume contains the proceedings of the Logic at Harvard conference in honor of W. Hugh Woodin's 60th birthday, held March 27–29, 2015, at Harvard University. It presents a collection of papers related to the work of Woodin, who has been one of the leading figures in set theory since the early 1980s. The topics cover many of the areas central to Woodin's work, including large cardinals, determinacy, descriptive set theory and the continuum problem, as well as connections between set theory and Banach spaces, recursion theory, and philosophy, each reflecting a period of Woodin's career. Other topics covered are forcing axioms, inner model theory, the partition calculus, and the theory of ultrafilters. This volume should make a suitable introduction to Woodin's work and the concerns which motivate it. The papers should be of interest to graduate students and researchers in both mathematics and philosophy of mathematics, particularly in set theory, foundations and related areas.