set theoryMartin-L?f type theorypredicativityinfinityquantificationTheories of sets such as Zermelo Fraenkel set theory are usually presented as the combination of two distinct kinds of principles: logical and set-theoretic principles. The set-theoretic principles are imposed 'on top' of first-order...
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Video : Set Theory: An Offspring of Analysis (1:00:00) by Walter B. Rudin, 1921-2010 (1990-04-06). (2014-01-21) Aristotelian logic For over two millenia, the framework of logic was rigid and frozen. Aristotle (384-322 BC) showed how to deduce categorical propositions from each ...
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes ar...
This is the first volume of a two-volume work [Volume 2 is reviewed below] aiming to bridge the gap between introductory expositions of logic and set theory, on the one hand, and the research literature in the field of foundations of mathematics, on the other. At the same time, the boo...
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SET THEORY AND LOGICdoi:10.1112/jlms/s1-39.1.573R. O. GandyOxford University PressJournal of the London Mathematical Society
作者:Johnstone, P. T. 页数:128 ISBN:9780521335027 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 Notes on Logic and Set Theory的创作者· ··· P·T·Johnstone作者 我要写书评 Notes on Logic and Set Theory的书评 ···(全部 0 条) 论坛· ··...
Lectures In Logic And Set Theory Vol II [Set Theory] - G. Tourlakis (Cambridge, 2003) 2 280 V. The Natural Numbers; Transitive Closure(iii)Rfis transitive: xRf y Rf z means f(x)- f(y)_ f(z), andhence f(x)f (z), and hence xR f z.We can, intuitively,"lump" ...
set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Godel (the celebrated incompleteness theorems). ...