misanthrope 发表于 2025-3-25 06:00:51

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

圆桶 发表于 2025-3-25 08:49:07

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

泥土谦卑 发表于 2025-3-25 12:12:13

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.

emulsify 发表于 2025-3-25 19:41:58

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.

IRK 发表于 2025-3-25 20:21:10

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.

accordance 发表于 2025-3-26 02:09:00

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 ..

Gourmet 发表于 2025-3-26 06:07:53

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Ascribe 发表于 2025-3-26 11:02:19

Springer-Verlag Berlin Heidelberg 1971

广大 发表于 2025-3-26 15:41:08

Introduction to Axiomatic Set Theory978-1-4684-9915-5Series ISSN 0072-5285 Series E-ISSN 2197-5612

取之不竭 发表于 2025-3-26 20:32:01

Graduate Texts in Mathematicshttp://image.papertrans.cn/i/image/473452.jpg
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查看完整版本: Titlebook: Introduction to Axiomatic Set Theory; Gaisi Takeuti,Wilson M. Zaring Textbook 19711st edition Springer-Verlag Berlin Heidelberg 1971 arith