Set Theory And Its Logic Revised Edition
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| Author | : Willard Van O QUINE |
| Publisher | : Harvard University Press |
| Total Pages | : 381 |
| Release | : 2009-06-30 |
| Genre | : Philosophy |
| ISBN | : 0674042425 |
Download Set Theory and Its Logic, Revised Edition Book in PDF, Epub and Kindle
This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before. Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.
| Author | : Moshe Machover |
| Publisher | : Cambridge University Press |
| Total Pages | : 304 |
| Release | : 1996-05-23 |
| Genre | : Mathematics |
| ISBN | : 9780521479981 |
Download Set Theory, Logic and Their Limitations Book in PDF, Epub and Kindle
This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.
| Author | : Willard Van Orman Quine |
| Publisher | : |
| Total Pages | : 361 |
| Release | : 1971 |
| Genre | : |
| ISBN | : |
Download Set Theory and Its Logic Book in PDF, Epub and Kindle
| Author | : Robert R. Stoll |
| Publisher | : Courier Corporation |
| Total Pages | : 516 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486139646 |
Download Set Theory and Logic Book in PDF, Epub and Kindle
Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
| Author | : Abraham Adolf Fraenkel |
| Publisher | : |
| Total Pages | : 297 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
Download Abstract Set Theory Book in PDF, Epub and Kindle
| Author | : Jose Ferreiros |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 472 |
| Release | : 2001-11-01 |
| Genre | : Mathematics |
| ISBN | : 9783764357498 |
Download Labyrinth of Thought Book in PDF, Epub and Kindle
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
| Author | : Jacob T. Schwartz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 426 |
| Release | : 2011-07-16 |
| Genre | : Computers |
| ISBN | : 0857298089 |
Download Computational Logic and Set Theory Book in PDF, Epub and Kindle
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.
| Author | : Willard Van Orman Quine |
| Publisher | : |
| Total Pages | : 361 |
| Release | : 1980 |
| Genre | : |
| ISBN | : |
Download Set Theory and Its Logic Book in PDF, Epub and Kindle
| Author | : Iqbal H. Jebril |
| Publisher | : CRC Press |
| Total Pages | : 171 |
| Release | : 2021-09-30 |
| Genre | : Mathematics |
| ISBN | : 0429665989 |
Download Concise Introduction to Logic and Set Theory Book in PDF, Epub and Kindle
This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.
| Author | : Raymond M. Smullyan |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2010 |
| Genre | : Continuum hypothesis |
| ISBN | : 9780486474847 |
Download Set Theory and the Continuum Problem Book in PDF, Epub and Kindle
A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
