Foundations Of Set Theory
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Foundations of Set Theory
Author | : A.A. Fraenkel,Y. Bar-Hillel,A. Levy |
Publsiher | : Elsevier |
Total Pages | : 415 |
Release | : 1973-12-01 |
Genre | : Computers |
ISBN | : 9780080887050 |
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Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
Abstract Set Theory
Author | : Abraham Adolf Fraenkel |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1976 |
Genre | : Set theory |
ISBN | : 0720422000 |
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Abstract Set Theory
Author | : Abraham Adolf Fraenkel |
Publsiher | : Unknown |
Total Pages | : 297 |
Release | : 1968 |
Genre | : Electronic Book |
ISBN | : OCLC:803151895 |
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Foundations of Point Set Theory
Author | : Robert Lee Moore |
Publsiher | : American Mathematical Soc. |
Total Pages | : 419 |
Release | : 1932-12-31 |
Genre | : Mathematics |
ISBN | : 9780821810132 |
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Conceptions of Set and the Foundations of Mathematics
Author | : Luca Incurvati |
Publsiher | : Cambridge University Press |
Total Pages | : 255 |
Release | : 2020-01-23 |
Genre | : History |
ISBN | : 9781108497824 |
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Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
The Foundations of Mathematics in the Theory of Sets
Author | : John P. Mayberry |
Publsiher | : Cambridge University Press |
Total Pages | : 454 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0521770343 |
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This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Axiomatic Set Theory
Author | : Patrick Suppes |
Publsiher | : Courier Corporation |
Total Pages | : 265 |
Release | : 2012-05-04 |
Genre | : Mathematics |
ISBN | : 9780486136875 |
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Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory
Author | : Douglas Cenzer,Jean Larson,Christopher Porter,Jindrich Zapletal |
Publsiher | : World Scientific |
Total Pages | : 222 |
Release | : 2020-04-04 |
Genre | : Mathematics |
ISBN | : 9789811201943 |
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This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.