Foundations of Set Theory is popular PDF and ePub book, written by A.A. Fraenkel in 1973-12-01, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Foundations of Set Theory can be Read Online from any device for your convenience.
Foundations of Set Theory Book PDF Summary
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.
Detail Book of Foundations of Set Theory PDF
- Author : A.A. Fraenkel
- Release : 01 December 1973
- Publisher : Elsevier
- ISBN : 9780080887050
- Genre : Computers
- Total Page : 415 pages
- Language : English
- PDF File Size : 15,8 Mb
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