Download or read book Subsystems of Second order Arithmetic and Descriptive Set Theory Under the Axiom of Determinateness written by Robert Alan Van Wesep and published by . This book was released on 1977 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Subsystems of Second Order Arithmetic written by Stephen George Simpson and published by Cambridge University Press. This book was released on 2009-05-29 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines appropriate axioms for mathematics to prove particular theorems in core areas.
Download or read book Revolutions and Revelations in Computability written by Ulrich Berger and published by Springer Nature. This book was released on 2022-06-25 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 18th Conference on Computability in Europe, CiE 2022, in Swansea, UK, in July 2022. The 19 full papers together with 7 invited papers presented in this volume were carefully reviewed and selected from 41 submissions. The motto of CiE 2022 was “Revolutions and revelations in computability”. This alludes to the revolutionary developments we have seen in computability theory, starting with Turing's and Gödel's discoveries of the uncomputable and the unprovable and continuing to the present day with the advent of new computational paradigms such as quantum computing and bio-computing, which have dramatically changed our view of computability and revealed new insights into the multifarious nature of computation.
Download or read book Mathematical Reviews written by and published by . This book was released on 1980 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics in the Twentieth Century written by Charles Parsons and published by Harvard University Press. This book was released on 2014-03-10 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these selected essays, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the past century: Brouwer, Hilbert, Bernays, Weyl, Gödel, Russell, Quine, Putnam, Wang, and Tait.
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1978 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of the Formal Sciences V written by Stefan Bold and published by . This book was released on 2007 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity can feature in games in various forms: we can play games of infinite length, with infinitely many players, or allow for infinitely many moves or strategies. Games of infinite length have been thoroughly investigated by mathematicians ard have played a central role in mathematical logic. However, their applications go far beyond mathematics: they feature prominently in theoretical computer science, philosophical "Gedankenxperiments", as limit cases in economical applications, and in many other applications. The conference "Foundations of the Formal Sciences V" focused on games of infinite length, but was very open to include other notions of infinity in games as well. It brought together researchers from the various areas that employ infinitary game techniques to talk about similarities and dissimilarities of the different approaches and develop cross-cultural bridges. This volume contains the fully refereed proceedings of the conference and provides a healthy and interesting mixture of research papers and surveys for a broad audience.
Download or read book Subsystems of Second Order Arithmetic written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1977 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Homogeneous Zero dimensional Absolute Borel Sets written by A. J. M. van Engelen and published by . This book was released on 1986 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Bulletin of Symbolic Logic written by and published by . This book was released on 2007 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recursive Aspects of Descriptive Set Theory written by Richard Mansfield and published by Oxford University Press, USA. This book was released on 1985 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the nature of infinity with a view toward classifying and explaining its mathematical applications. It presents not only the basics of the classical theory, but also an introduction to the many important recent results and methods.
Download or read book Axiomatic Set Theory Part 2 written by Thomas J. Jech and published by American Mathematical Soc.. This book was released on 1971 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Comprehensive Dissertation Index Mathematics statistics Physics A E written by and published by . This book was released on 1984 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1984 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Download or read book Encyclopedia of Philosophy written by Donald M. Borchert and published by Thomson Gale/MacMillan Reference USA. This book was released on 2006 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, covering entries from "Masaryk, Tomas Garrigue" to "Nussbaum, Martha," presents articles on Eastern and Western philosophies, medical and scientific ethics, the Holocaust, terrorism, censorship, biographical entries, and much more.
Download or read book Incompleteness for Higher Order Arithmetic written by Yong Cheng and published by Springer Nature. This book was released on 2019-08-30 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gödel's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.e. not mathematically natural or interesting. An interesting problem is to find mathematically natural and interesting statements that are similarly unprovable. A lot of research has since been done in this direction, most notably by Harvey Friedman. A lot of examples of concrete incompleteness with real mathematical content have been found to date. This brief contributes to Harvey Friedman's research program on concrete incompleteness for higher-order arithmetic and gives a specific example of concrete mathematical theorems which is expressible in second-order arithmetic but the minimal system in higher-order arithmetic to prove it is fourth-order arithmetic. This book first examines the following foundational question: are all theorems in classic mathematics expressible in second-order arithmetic provable in second-order arithmetic? The author gives a counterexample for this question and isolates this counterexample from the Martin-Harrington Theorem in set theory. It shows that the statement “Harrington's principle implies zero sharp" is not provable in second-order arithmetic. This book further examines what is the minimal system in higher-order arithmetic to prove the theorem “Harrington's principle implies zero sharp" and shows that it is neither provable in second-order arithmetic or third-order arithmetic, but provable in fourth-order arithmetic. The book also examines the large cardinal strength of Harrington's principle and its strengthening over second-order arithmetic and third-order arithmetic.
