Download or read book Notes for Lectures on Metamathematics Given at Stanford University 1961 1962 written by Solomon Feferman and published by . This book was released on 1962 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes for Lectures on Metamathematics Given at Stanford University 1961 1962 written by Solomon Feferman and published by . This book was released on 1962 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Feferman on Foundations written by Gerhard Jäger and published by Springer. This book was released on 2018-04-04 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Download or read book The National Union Catalogs 1963 written by and published by . This book was released on 1964 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book National Union Catalog written by and published by . This book was released on 1956 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases
Download or read book American Book Publishing Record Cumulative 1950 1977 written by R.R. Bowker Company and published by R. R. Bowker. This book was released on 1978 with total page 1436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Book Publishing Record Cumulative 1950 1977 Non Dewey decimal classified titles written by R.R. Bowker Company. Department of Bibliography and published by . This book was released on 1978 with total page 1408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pure and Applied Science Books 1876 1982 written by and published by . This book was released on 1982 with total page 1374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.
Download or read book Metamathematics of First Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sets and Classes on The Work by Paul Bernays written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets and Classes on The Work by Paul Bernays
Download or read book Fundamentals of Generalized Recursion Theory written by M. Fitting and published by Elsevier. This book was released on 2011-08-18 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Generalized Recursion Theory
Download or read book Logic from Russell to Church written by Dov M. Gabbay and published by Elsevier. This book was released on 2009-06-16 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration.• The entire range of modal logic is covered• Serves as a singular contribution to the intellectual history of the 20th century• Contains the latest scholarly discoveries and interpretative insights
Download or read book The Mathematics of Metamathematics written by Helena Rasiowa and published by . This book was released on 1968 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Constructive Analysis written by Errett Bishop and published by Ishi Press. This book was released on 2012-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, Foundations of Constructive Analysis, founded the field of constructive analysis because it proved most of the important theorems in real analysis by constructive methods. The author, Errett Albert Bishop, born July 10, 1928, was an American mathematician known for his work on analysis. In the later part of his life Bishop was seen as the leading mathematician in the area of Constructive mathematics. From 1965 until his death, he was professor at the University of California at San Diego.
Download or read book The Quest for Artificial Intelligence written by Nils J. Nilsson and published by Cambridge University Press. This book was released on 2009-10-30 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial intelligence (AI) is a field within computer science that is attempting to build enhanced intelligence into computer systems. This book traces the history of the subject, from the early dreams of eighteenth-century (and earlier) pioneers to the more successful work of today's AI engineers. AI is becoming more and more a part of everyone's life. The technology is already embedded in face-recognizing cameras, speech-recognition software, Internet search engines, and health-care robots, among other applications. The book's many diagrams and easy-to-understand descriptions of AI programs will help the casual reader gain an understanding of how these and other AI systems actually work. Its thorough (but unobtrusive) end-of-chapter notes containing citations to important source materials will be of great use to AI scholars and researchers. This book promises to be the definitive history of a field that has captivated the imaginations of scientists, philosophers, and writers for centuries.
Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
