Set Theory And Foundations Of Mathematics
Download Set Theory And Foundations Of Mathematics full books in PDF, epub, and Kindle. Read online free Set Theory And Foundations Of Mathematics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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 |
Download Set Theory And Foundations Of Mathematics An Introduction To Mathematical Logic Volume I Set Theory Book in PDF, Epub and Kindle
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.
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 |
Download Conceptions of Set and the Foundations of Mathematics Book in PDF, Epub and Kindle
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 |
Download The Foundations of Mathematics in the Theory of Sets Book in PDF, Epub and Kindle
This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Reflections on the Foundations of Mathematics
Author | : Stefania Centrone,Deborah Kant,Deniz Sarikaya |
Publsiher | : Springer Nature |
Total Pages | : 511 |
Release | : 2019-11-11 |
Genre | : Mathematics |
ISBN | : 9783030156558 |
Download Reflections on the Foundations of Mathematics Book in PDF, Epub and Kindle
This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives. The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories. This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.
Abstract Set Theory
Author | : Abraham Adolf Fraenkel |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1976 |
Genre | : Set theory |
ISBN | : 0720422000 |
Download Abstract Set Theory Book in PDF, Epub and Kindle
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 |
Download Foundations of Set Theory Book in PDF, Epub and Kindle
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.
Set Theory and Logic
Author | : Robert R. Stoll |
Publsiher | : Courier Corporation |
Total Pages | : 512 |
Release | : 2012-05-23 |
Genre | : Mathematics |
ISBN | : 9780486139647 |
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.
Sets for Mathematics
Author | : F. William Lawvere,Robert Rosebrugh |
Publsiher | : Cambridge University Press |
Total Pages | : 280 |
Release | : 2003-01-27 |
Genre | : Mathematics |
ISBN | : 0521010608 |
Download Sets for Mathematics Book in PDF, Epub and Kindle
In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.