It takes the average reader 7 hours and 3 minutes to read Foundations of Set Theory by A.A. Fraenkel
Assuming a reading speed of 250 words per minute. Learn more
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.
Foundations of Set Theory by A.A. Fraenkel is 415 pages long, and a total of 105,825 words.
This makes it 140% the length of the average book. It also has 129% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 38 minutes to read Foundations of Set Theory aloud.
Foundations of Set Theory is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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