標(biāo)題: Titlebook: Introduction to Axiomatic Set Theory; Gaisi Takeuti,Wilson M. Zaring Textbook 19711st edition Springer-Verlag Berlin Heidelberg 1971 arith [打印本頁] 作者: patch-test 時間: 2025-3-21 16:21
書目名稱Introduction to Axiomatic Set Theory影響因子(影響力)
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作者: Redundant 時間: 2025-3-21 20:58
Gaisi Takeuti,Wilson M. Zaringteger as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi作者: 遺忘 時間: 2025-3-22 02:06 作者: epinephrine 時間: 2025-3-22 06:35 作者: MOAT 時間: 2025-3-22 09:45
Gaisi Takeuti,Wilson M. Zaringteger as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi作者: nerve-sparing 時間: 2025-3-22 14:10 作者: 燈絲 時間: 2025-3-22 19:31
Gaisi Takeuti,Wilson M. Zaringteger as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi作者: Oversee 時間: 2025-3-23 00:14 作者: EXTOL 時間: 2025-3-23 03:23
Gaisi Takeuti,Wilson M. Zaringteger as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi作者: flavonoids 時間: 2025-3-23 08:30
Gaisi Takeuti,Wilson M. Zaringteger as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi作者: crease 時間: 2025-3-23 12:39 作者: 釋放 時間: 2025-3-23 15:34 作者: 遺傳學(xué) 時間: 2025-3-23 19:19
Textbook 19711st editionin their efforts to bridge gaps in the text. We have chosen instead a development that is quite detailed and complete. For our slow development we claim the following advantages. The text is one from which a student can learn with little supervision and instruction. This enables the instructor to us作者: 憤憤不平 時間: 2025-3-23 23:30 作者: DEI 時間: 2025-3-24 06:06 作者: gruelling 時間: 2025-3-24 09:18
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 無價值 時間: 2025-3-24 14:29
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 減少 時間: 2025-3-24 18:26
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: Anal-Canal 時間: 2025-3-24 21:59 作者: POINT 時間: 2025-3-25 03:08
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: misanthrope 時間: 2025-3-25 06:00
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 圓桶 時間: 2025-3-25 08:49
Gaisi Takeuti,Wilson M. Zaringt the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classi978-1-4757-7392-7978-0-387-22738-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 泥土謙卑 時間: 2025-3-25 12:12
Introduction, was the culmination of three decades of research on number “aggregates”. Beginning with his paper on the denumerability 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: emulsify 時間: 2025-3-25 19:41
Equality,uivalent under alphabetic change of variable, we intend . to be an abbreviation for. This problem is easily resolved by specifying that . is the first variable an our list . that is distinct from . and from .. Having thereby shown that we can specify a particular formula we will not bother to do so either here or in similar definitions to follow.作者: IRK 時間: 2025-3-25 20:21
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: accordance 時間: 2025-3-26 02:09
The Fundamental Operations,tially as 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: Gourmet 時間: 2025-3-26 06:07 作者: Ascribe 時間: 2025-3-26 11:02
Springer-Verlag Berlin Heidelberg 1971作者: 廣大 時間: 2025-3-26 15:41
Introduction to Axiomatic Set Theory978-1-4684-9915-5Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 取之不竭 時間: 2025-3-26 20:32
Graduate Texts in Mathematicshttp://image.papertrans.cn/i/image/473452.jpg作者: 效果 時間: 2025-3-26 23:44
https://doi.org/10.1007/978-1-4684-9915-5arithmetic; axiom of choice; function; logic; ordinal; set; set theory作者: Absenteeism 時間: 2025-3-27 03:26
Language and Logic,The language of our theory consists of作者: adumbrate 時間: 2025-3-27 06:54
The Elementary Properties of Classes,In this section we will introduce certain properties of classes with which the reader is already 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: APNEA 時間: 2025-3-27 12:39
Ordinal Arithmetic,In Section 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 ∈-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: 神經(jīng) 時間: 2025-3-27 17:40
Cardinal Numbers,The equivalence of sets is basic to the theory of cardinal numbers. Two sets are equivalent, or equipollent, provided there exists a one-to-one correspondence between them.作者: 戲法 時間: 2025-3-27 18:29 作者: 縮減了 時間: 2025-3-27 23:06 作者: bile648 時間: 2025-3-28 04:42 作者: 擴張 時間: 2025-3-28 08:32 作者: Gratulate 時間: 2025-3-28 10:42
,Cohen’s Method,In proving that the AC and the GCH are consistent with ZF G?del used the so called method of internal models. From the assumption that the universe . is a model of ZF G?del prescribed a method for producing a submodel . that is also a model of ., AC and GCH. This submodel is defined as the class of all sets having a certain property i.e. ..作者: Cumulus 時間: 2025-3-28 15:26
Classes, i.e., given a wff . (.) containing no free variables other than x, there exists a set that contains all objects for which . (.) holds and contains no object for which .(.) does not hold. More formally ..作者: 自由職業(yè)者 時間: 2025-3-28 20:22
Ordinal Numbers,925) and Bertrand Russell (1872–1970), working independently, who removed Cantor’s numbers from the realm of psychology. In 1903 Russell defined an ordinal number to be an equivalence class of well ordered sets under order isomorphism.作者: GIBE 時間: 2025-3-29 00:49 作者: landfill 時間: 2025-3-29 03:41 作者: Biomarker 時間: 2025-3-29 09:25
The Arithmetization of Model Theory, a set, that is, “m is a standard model of ZF” can be expressed as a single sentence in ZF. The basic objective of this section is to produce such a sentence. Our approach is to assign G?del numbers to the well formed formulas of our language. This assignment will be made by the mapping . of Definition 15.2.作者: Monotonous 時間: 2025-3-29 12:10 作者: 水槽 時間: 2025-3-29 16:10 作者: 憤世嫉俗者 時間: 2025-3-29 21:40
Equality,uivalent under alphabetic change of variable, we intend . to be an abbreviation for. This problem is easily resolved by specifying that . is the first variable an our list . that is distinct from . and from .. Having thereby shown that we can specify a particular formula we will not bother to do so 作者: Affection 時間: 2025-3-30 00:38 作者: 陰險 時間: 2025-3-30 06:26 作者: 不安 時間: 2025-3-30 11:56 作者: 教義 時間: 2025-3-30 13:46
The Fundamental Operations,tially as 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: 顯示 時間: 2025-3-30 20:03
The Arithmetization of Model Theory,a standard model of ZF means in particular that ? is a model of Axiom 5, the Axiom Schema of Replacement. Since Axiom 5 is a schema “M is a standard model of ZF” is a meta-statement asserting that a certain infinite collection of sentences of ZF hold. Can this metastatement be formalized in ZF, that作者: 我邪惡 時間: 2025-3-30 21:36
Forcing,h a predicate will be defined in this section. When this predicate holds we say that < {.., ..., ..}, {.., ..., ..}> forces ?.?. The ordered pair <{.., ..., ..}, {.., ..., ..}> is called a forcing condition.作者: 先兆 時間: 2025-3-31 04:18 作者: indoctrinate 時間: 2025-3-31 05:54 作者: Glutinous 時間: 2025-3-31 10:36
Gaisi Takeuti,Wilson M. Zaringics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are prov作者: 諂媚于性 時間: 2025-3-31 15:23 作者: 變化無常 時間: 2025-3-31 19:27 作者: Feigned 時間: 2025-4-1 01:10 作者: 獸皮 時間: 2025-4-1 04:14 作者: 使入迷 時間: 2025-4-1 07:27
