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Titlebook: Notes on Set Theory; Yiannis N. Moschovakis Textbook 19941st edition Springer Science+Business Media New York 1994 Finite.Mathematica.axio

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发表于 2025-3-21 19:45:34 | 显示全部楼层 |阅读模式
书目名称Notes on Set Theory
编辑Yiannis N. Moschovakis
视频video
丛书名称Undergraduate Texts in Mathematics
图书封面Titlebook: Notes on Set Theory;  Yiannis N. Moschovakis Textbook 19941st edition Springer Science+Business Media New York 1994 Finite.Mathematica.axio
描述What this book is about. The theory of sets is a vibrant, exciting math­ ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun­ dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab­ stract sets," including the Axiom of Choice, transfinite recursion, and car­ dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introdu
出版日期Textbook 19941st edition
关键词Finite; Mathematica; axiom of choice; language; mathematics; object; ordinal; recursion; set; set theory; sets
版次1
doihttps://doi.org/10.1007/978-1-4757-4153-7
isbn_ebook978-1-4757-4153-7Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1994
The information of publication is updating

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发表于 2025-3-21 23:43:18 | 显示全部楼层
Yiannis N. Moschovakisoduced in some German states as early as the seventeenth century. In France, already in 1872, 69 per cent of the population of 7 years and over were literate. What has taken centuries in the West must now be accomplished in under-developed countries in decades. The task encounters formidable obstacl
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Yiannis N. Moschovakisoduced in some German states as early as the seventeenth century. In France, already in 1872, 69 per cent of the population of 7 years and over were literate. What has taken centuries in the West must now be accomplished in under-developed countries in decades. The task encounters formidable obstacl
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Yiannis N. Moschovakis on students’ test scores. A major disadvantage of the PISA design for the analysis of school composition effects is the small students-per-school samples. Adding family background data from administrative registers for all same-aged schoolmates of the PISA students helps overcome this. To compensat
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Yiannis N. Moschovakisss the possible contribution of economics to the formation and implementation of a national energy policy. A feature of the 1970s has been the increasing concern of many governments and international institutions for the development of coherent energy policies. One of the principal aims of these pol
发表于 2025-3-22 19:31:48 | 显示全部楼层
Yiannis N. Moschovakis We were motivated to bring this work together by the lack of a comprehensive analysis of the issues involved that was conveniently located in a single document, by the desire to focus that disparate body of research on the assessment of energy security externalities for policy purposes, and by the
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Paradoxes and Axioms,ed him in the last twenty five years of the 19th century. By the beginning of our own century, the theory had matured and justified itself with diverse and significant applications, particularly in mathematical analysis. Perhaps its greatest success was the creation of an exceptionally beautiful and
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