標(biāo)題: Titlebook: Introduction to Axiomatic Set Theory; Gaisi Takeuti,Wilson M. Zaring Textbook 1982Latest edition Springer-Verlag New York Inc. 1982 Cardin [打印本頁(yè)] 作者: 萬(wàn)能 時(shí)間: 2025-3-21 20:06
書目名稱Introduction to Axiomatic Set Theory影響因子(影響力)
書目名稱Introduction to Axiomatic Set Theory影響因子(影響力)學(xué)科排名
書目名稱Introduction to Axiomatic Set Theory網(wǎng)絡(luò)公開度
書目名稱Introduction to Axiomatic Set Theory網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Introduction to Axiomatic Set Theory被引頻次
書目名稱Introduction to Axiomatic Set Theory被引頻次學(xué)科排名
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書目名稱Introduction to Axiomatic Set Theory年度引用學(xué)科排名
書目名稱Introduction to Axiomatic Set Theory讀者反饋
書目名稱Introduction to Axiomatic Set Theory讀者反饋學(xué)科排名
作者: Projection 時(shí)間: 2025-3-21 21:27 作者: 仔細(xì)閱讀 時(shí)間: 2025-3-22 03:57
Gaisi Takeuti,Wilson M. Zaring intended to provide graduate students?and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents?allow the text to 作者: 高度贊揚(yáng) 時(shí)間: 2025-3-22 08:26
Gaisi Takeuti,Wilson M. Zaring already, though it may not have been treated as formally as here. There are several good reasons for giving very precise definitions and proofs, even when there is general agreement about the validity of the mathematics involved. The first is that ‘general agreement’ is not the same as convincing p作者: freight 時(shí)間: 2025-3-22 11:44
Gaisi Takeuti,Wilson M. Zaring already, though it may not have been treated as formally as here. There are several good reasons for giving very precise definitions and proofs, even when there is general agreement about the validity of the mathematics involved. The first is that ‘general agreement’ is not the same as convincing p作者: 相符 時(shí)間: 2025-3-22 14:09 作者: 淘氣 時(shí)間: 2025-3-22 19:11
Gaisi Takeuti,Wilson M. Zaringrete problems leads, as we have discussed in § 1.2, to devise .; they in turn pose the question of developing computing procedures, which may be very complex, but that in any case result in the solution of the studied problem in finitely many steps. Such a procedure is called an ., from the name of 作者: 新義 時(shí)間: 2025-3-23 00:36
Gaisi Takeuti,Wilson M. Zaringgr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, whi作者: voluble 時(shí)間: 2025-3-23 05:14 作者: Cardiac-Output 時(shí)間: 2025-3-23 08:43
Gaisi Takeuti,Wilson M. Zaringourses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts作者: 蝕刻術(shù) 時(shí)間: 2025-3-23 12:12
Gaisi Takeuti,Wilson M. Zaringourses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts作者: 信任 時(shí)間: 2025-3-23 16:16 作者: 過(guò)時(shí) 時(shí)間: 2025-3-23 18:27 作者: 興奮過(guò)度 時(shí)間: 2025-3-23 23:25
Gaisi Takeuti,Wilson M. Zaringourses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts作者: 系列 時(shí)間: 2025-3-24 03:25 作者: 微塵 時(shí)間: 2025-3-24 08:05 作者: otic-capsule 時(shí)間: 2025-3-24 11:36
Classes,ox, arose from the na?ve acceptance of the idea that given any property there exists a set whose elements are those objects having the given property, i.e., given a wff . containing one free variable, there exists a set that contains all objects for which . holds and contains no object for which . d作者: indemnify 時(shí)間: 2025-3-24 15:29
Ordinal Numbers,a well-ordered aggregate) M if we abstract from the nature of its elements while retaining their order of precedence ....”It was Gottlob Frege (1848–1925) and Bertrand Russell (1872–1970), working independently, who removed Cantor’s numbers from the realm of psychology. In 1903 Russell defined an or作者: Mendacious 時(shí)間: 2025-3-24 19:57
Relational Closure and the Rank Function,ally interested in sets that are transitive. While there exist sets that are not transitive every set has a transitive extension. Indeed, every set has a smallest transitive extension which we call its transitive closure.作者: 嘲弄 時(shí)間: 2025-3-24 23:42
The Axiom of Choice and Cardinal Numbers,we make abstraction of the nature of its various elements . and of the order in which they are given.” He denoted this cardinal number by .. The two bars indicate the two levels of abstraction needed to produce the cardinal number from .. With only one level of abstraction, that is, by only abstract作者: 牙齒 時(shí)間: 2025-3-25 03:47 作者: 合乎習(xí)俗 時(shí)間: 2025-3-25 07:45
Silver Machines,y simply as a means to an end. That, however, is not at all the case. G?del held his discovery of constructible sets, and his proof that the class of constructible sets, ., is a model of ZFC, to be by itself, one of his major achievements. His confidence in the importance of the notion of constructi作者: 細(xì)菌等 時(shí)間: 2025-3-25 12:29 作者: 使人煩燥 時(shí)間: 2025-3-25 18:38
The Elementary Properties of Classes,In this chapter we will introduce certain properties of classes with which the reader is probably familiar. The immediate consequences of the definitions are for the most part elementary and easily proved; consequently they will be left to the reader as exercises.作者: STAT 時(shí)間: 2025-3-25 23:49
Ordinal Arithmetic,In Chapter 7 we defined . + 1 to be . ∪ {.}. We proved that . + 1 is an ordinal, that is, . + 1 is a transitive set that is well ordered by the e-relation. As a well-ordered set . + 1 has an initial segment . and its “terminal” segment beginning with . consists of just a single element, namely ..作者: Anthropoid 時(shí)間: 2025-3-26 01:58 作者: dura-mater 時(shí)間: 2025-3-26 05:24 作者: 信徒 時(shí)間: 2025-3-26 09:10 作者: 蚊帳 時(shí)間: 2025-3-26 12:48
,The G?del Model,In Chapter 7 we defined a relation . on On.. We proved that . well orders On. and, with respect to ., initial segments of On. are sets. Consequently there is an order isomorphism . such that ..作者: ABYSS 時(shí)間: 2025-3-26 16:53 作者: Circumscribe 時(shí)間: 2025-3-26 21:53 作者: 菊花 時(shí)間: 2025-3-27 03:38 作者: 與野獸博斗者 時(shí)間: 2025-3-27 07:03 作者: AV-node 時(shí)間: 2025-3-27 10:56
Introduction,l and cardinal numbers was the culmination of three decades of research on number “aggregates.” Beginning with his paper on the denumer-ability of infinite sets,. published in 1874, Cantor had built a new theory of the infinite. In this theory a collection of objects, even an infinite collection, is conceived of as a single entity.作者: 征兵 時(shí)間: 2025-3-27 13:55
Relational Closure and the Rank Function,ally interested in sets that are transitive. While there exist sets that are not transitive every set has a transitive extension. Indeed, every set has a smallest transitive extension which we call its transitive closure.作者: 水獺 時(shí)間: 2025-3-27 20:26
The Fundamental Operations,s the union of a sequence of sets .., . ∈ On which were so defined that . ∈ ... iff there exists a wff .(.., ..,..., ..) having no free variables other than .., ..,..., .. and there exist ..,...,.. ∈ .. such that . = {.|..|= .(., ..,...,..)}.作者: Debate 時(shí)間: 2025-3-27 22:03
978-1-4613-8170-9Springer-Verlag New York Inc. 1982作者: 涂掉 時(shí)間: 2025-3-28 04:26
Introduction to Axiomatic Set Theory978-1-4613-8168-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 水槽 時(shí)間: 2025-3-28 09:39
https://doi.org/10.1007/978-1-4613-8168-6Cardinal number; arithmetic; axiom of choice; bridge; class; development; forcing; object; set; set theory; ti作者: 陪審團(tuán)每個(gè)人 時(shí)間: 2025-3-28 12:57 作者: 不適 時(shí)間: 2025-3-28 17:19 作者: GEAR 時(shí)間: 2025-3-28 19:31
Gaisi Takeuti,Wilson M. Zaringfollowed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insi978-1-4419-2752-1978-0-387-85525-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 作者: Affirm 時(shí)間: 2025-3-29 02:59
0072-5285 s com- pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.978-1-4613-8170-9978-1-4613-8168-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: jettison 時(shí)間: 2025-3-29 04:12 作者: violate 時(shí)間: 2025-3-29 10:48 作者: 合并 時(shí)間: 2025-3-29 11:38
Gaisi Takeuti,Wilson M. Zaring method,?but that‘s not all.?.Many related interesting topics are also included in this book, such as the?disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Turán numbers and communication channels, etc. .978-3-031-12764-9978-3-031-12762-5Series ISSN 0066-5452 Series E-ISSN 2196-968X 作者: 不妥協(xié) 時(shí)間: 2025-3-29 19:35 作者: Binge-Drinking 時(shí)間: 2025-3-29 23:40 作者: limber 時(shí)間: 2025-3-30 02:10 作者: 倔強(qiáng)不能 時(shí)間: 2025-3-30 08:06 作者: 流動(dòng)才波動(dòng) 時(shí)間: 2025-3-30 09:27
Gaisi Takeuti,Wilson M. Zaringbled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insi作者: 隱士 時(shí)間: 2025-3-30 16:17
Gaisi Takeuti,Wilson M. Zaringbled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insi作者: 脆弱吧 時(shí)間: 2025-3-30 17:05 作者: 羽飾 時(shí)間: 2025-3-31 00:22 作者: Omnipotent 時(shí)間: 2025-3-31 01:09
Gaisi Takeuti,Wilson M. Zaringbled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insi作者: 審問 時(shí)間: 2025-3-31 05:19
Silver Machines, derived, from . = ., three principles that can be understood and used by people who are not specialists in set theory. Following Jensen, Saharon Shelah in 1974, used . = . to settle a problem in group theory, the Whitehead problem..作者: 搖晃 時(shí)間: 2025-3-31 10:39 作者: TATE 時(shí)間: 2025-3-31 13:25 作者: conifer 時(shí)間: 2025-3-31 21:20
0072-5285 n the con- sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen‘s work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic作者: 寬大 時(shí)間: 2025-3-31 22:34
