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Author : Alex Hellsten
Publisher :
ISBN 13 :
Total Pages : 54 pages
Book Rating : 4.:/5 (318 download)
Download or read book Diamonds on Large Cardinals written by Alex Hellsten and published by . This book was released on 2003 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080930662
Total Pages : 878 pages
Book Rating : 4.0/5 (89 download)
Download or read book Sets and Extensions in the Twentieth Century written by and published by Elsevier. This book was released on 2012-01-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. 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 mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th century Contains the latest scholarly discoveries and interpretative insights
Author : Walter Alexandre Carnielli
Publisher : American Mathematical Soc.
ISBN 13 : 0821850768
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Methods and Applications of Mathematical Logic written by Walter Alexandre Carnielli and published by American Mathematical Soc.. This book was released on 1988 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constitutes the proceedings of the Seventh Latin American Symposium on Mathematical Logic, held July 29-August 2, 1985, at the University of Campinas in Brazil. This book offers an introduction to the active lines of research in mathematical logic and emphasizes the connections to other fields - philosophy, computer science and probability theory.
Author : Nathaniel S. Hellerstein
Publisher : World Scientific
ISBN 13 : 9789812796110
Total Pages : 274 pages
Book Rating : 4.7/5 (961 download)
Download or read book Diamond written by Nathaniel S. Hellerstein and published by World Scientific. This book was released on 1997 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about OC diamondOCO, a logic of paradox. In diamond, a statement can be true yet false; an OC imaginaryOCO state, midway between being and non-being. Diamond''s imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, GAdelian meta-mathematics and dilemma games."
Author : Jinsei Yamaguchi
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.:/5 (142 download)
Download or read book Aspects of Large Cardinals written by Jinsei Yamaguchi and published by . This book was released on 1985 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. S. Hellerstein
Publisher : World Scientific
ISBN 13 : 9814287148
Total Pages : 311 pages
Book Rating : 4.8/5 (142 download)
Download or read book Diamond written by N. S. Hellerstein and published by World Scientific. This book was released on 2010 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about ''diamond'', a logic of paradox. In diamond, a statement can be true yet false; an ''imaginary'' state, midway between being and non-being. Diamond''s imaginary values solve many logical paradoxes unsolvable in two-valued boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown modulator; and Metamathematical Dilemma, which relates diamond to Godelian meta-mathematics and dilemma games.
Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262362651
Total Pages : 350 pages
Book Rating : 4.2/5 (623 download)
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490107509
Total Pages : 1039 pages
Book Rating : 4.4/5 (91 download)
Download or read book Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1039 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Approximation Theory. The editors have built Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Approximation Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author : Matthew Foreman
Publisher : Springer Science & Business Media
ISBN 13 : 1402057644
Total Pages : 2200 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Set Theory written by Matthew Foreman and published by Springer Science & Business Media. This book was released on 2009-12-10 with total page 2200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.
Author : Mirna Džamonja
Publisher : Cambridge University Press
ISBN 13 : 110842015X
Total Pages : 162 pages
Book Rating : 4.1/5 (84 download)
Download or read book Fast Track to Forcing written by Mirna Džamonja and published by Cambridge University Press. This book was released on 2020-10-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.
Author : Chi Tat Chong
Publisher : World Scientific
ISBN 13 : 9814471526
Total Pages : 431 pages
Book Rating : 4.8/5 (144 download)
Download or read book Computational Prospects Of Infinity - Part Ii: Presented Talks written by Chi Tat Chong and published by World Scientific. This book was released on 2008-06-02 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.
Author : Chitat Chong
Publisher : World Scientific
ISBN 13 : 981279655X
Total Pages : 431 pages
Book Rating : 4.8/5 (127 download)
Download or read book Computational Prospects of Infinity written by Chitat Chong and published by World Scientific. This book was released on 2008 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of written versions of the talks given at the Workshop on Computational Prospects of Infinity, held at the Institute for Mathematical Sciences from 18 June to 15 August 2005. It consists of contributions from many of the leading experts in recursion theory (computability theory) and set theory. Topics covered include the structure theory of various notions of degrees of unsolvability, algorithmic randomness, reverse mathematics, forcing, large cardinals and inner model theory, and many others.
Author : Thomas Jech
Publisher : Springer Science & Business Media
ISBN 13 : 354044761X
Total Pages : 754 pages
Book Rating : 4.5/5 (44 download)
Download or read book Set Theory written by Thomas Jech and published by Springer Science & Business Media. This book was released on 2007-05-23 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph covers the recent major advances in various areas of set theory. From the reviews: "One of the classical textbooks and reference books in set theory....The present ‘Third Millennium’ edition...is a whole new book. In three parts the author offers us what in his view every young set theorist should learn and master....This well-written book promises to influence the next generation of set theorists, much as its predecessor has done." --MATHEMATICAL REVIEWS
Author : Henry Vizetelly
Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Story of the Diamond Necklace written by Henry Vizetelly and published by . This book was released on 1881 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Author : Johann Georg KEYSLER
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.0/5 (23 download)
Download or read book Travels through Germany ... Illustrated with copper plates, engraved from drawings taken on the spot ... Carefully translated from the second edition of the German ... The third edition. [With plates, including a portrait.] written by Johann Georg KEYSLER and published by . This book was released on 1760 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Johann Georg Keyssler
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (334 download)
Download or read book Travels Through Germany, Bohemia, Hungary, Switzerland, Italy and Lorrain written by Johann Georg Keyssler and published by . This book was released on 1757 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henry Vizetelly
Publisher : BoD – Books on Demand
ISBN 13 : 3752569697
Total Pages : 322 pages
Book Rating : 4.7/5 (525 download)
Download or read book The History of The Diamond Necklace written by Henry Vizetelly and published by BoD – Books on Demand. This book was released on 2022-02-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1867.
