By A. A. Fraenkel,Y. Bar-Hillel,A. Levy
This ebook contains 5 chapters and starts off with a dialogue of the antinomies that ended in the reconstruction of set concept because it used to be identified earlier than. It then strikes to the axiomatic foundations of set conception, together with a dialogue of the fundamental notions of equality and extensionality and axioms of comprehension and infinity. the subsequent chapters talk about type-theoretical methods, together with the suitable calculus, the speculation of sorts, and Quine's mathematical good judgment and new foundations; intuitionistic conceptions of arithmetic and its confident personality; and metamathematical and semantical ways, equivalent to the Hilbert software.
This e-book may be of curiosity to mathematicians, logicians, and statisticians.
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Extra resources for Foundations of Set Theory (Studies in Logic and the Foundations of Mathematics)
Foundations of Set Theory (Studies in Logic and the Foundations of Mathematics) by A. A. Fraenkel,Y. Bar-Hillel,A. Levy