在"英语"词典里set theory}的意思

在英语中SET THEORY的发音

set theory

SET THEORY在英语中的意思是什么？

设定理论

Set theory

集理论是研究集的数学逻辑的分支，它是对象的集合。 虽然可以将任何类型的对象收集到一个集合中，集合理论最常用于与数学相关的对象。 集合理论的语言可以用于几乎所有数学对象的定义。 集合理论的现代研究由Georg Cantor和Richard Dedekind于19世纪70年代发起。 在天真集合理论中发现悖论之后，二十世纪初提出了许多公理制度，其中选择的公理是最着名的Zermelo-Fraenkel公理。 集合理论通常被用作数学的基础系统，特别是以选择的公理为特征的Zermelo-Fraenkel集合理论的形式。 除了其基础角色，集理论是自己的数学分支，拥有积极的研究团体。 集合理论的当代研究包括从实线结构到大型红衣主义一致性研究等多个主题的集合。

Set theory is the branch of mathematical logic that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects. The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known. Set theory is commonly employed as a foundational system for mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of choice. Beyond its foundational role, set theory is a branch of mathematics in its own right, with an active research community. Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.

在英语 词典里set theory的定义

词典中集合论的定义是关于集合的性质和相互关系的数学分支。 集合论的其他定义是在一阶逻辑内构建的理论，它产生了类的数学理论，尤其是把集合与适当类别区分开来，作为避免某些悖论的手段。

SET THEORY的翻译

通过我们的英语多语言翻译器,找到set theory的25种语言翻译

该章节所呈现的将set theory由 英语向其他语言的翻译是通过自动统计翻译获得的；在英语中基本的翻译单位是单词«set theory»。

• 翻译者英语 - 中文: 集合论
• 翻译者英语 - 西班牙语: la teoría de conjuntos
• 英语: set theory
• 翻译者英语 - 印地语: सेट सिद्धांत
• 翻译者英语 - 阿拉伯语: نظرية المجموعات
• 翻译者英语 - 俄语: теория множеств
• 翻译者英语 - 葡萄牙语: teoria dos conjuntos
• 翻译者英语 - 孟加拉语: সেটতত্ত্ব
• 翻译者英语 - 法语: la théorie des ensembles
• 翻译者英语 - 马来语: Teori set
• 翻译者英语 - 德语: Mengenlehre
• 翻译者英语 - 日语: 集合理論
• 翻译者英语 - 韩语: 집합 이론
• 翻译者英语 - 印尼爪哇语: Teori pesawat
• 翻译者英语 - 越南语: lý thuyết tập hợp
• 翻译者英语 - 泰米尔语: தொகுப்பு கோட்பாடு
• 翻译者英语 - 马拉地语: सेट सिद्धांत
• 翻译者英语 - 土耳其语: Küme teorisi
• 翻译者英语 - 意大利语: teoria degli insiemi
• 翻译者英语 - 波兰语: teoria mnogości
• 翻译者英语 - 乌克兰语: теорія множин
• 翻译者英语 - 罗马尼亚语: teoria mulțimilor
• 翻译者英语 - 希腊语: θεωρία των συνόλων
• 翻译者英语 - 布尔语(南非荷兰语): stel teorie
• 翻译者英语 - 瑞典语: mängdlära
• 翻译者英语 - 挪威语: mengdelære

«SET THEORY»的英语 引用

单词set theory的知名引用和例句

1

Harrison Birtwistle

Minimalism now is a reaction to what came before. It's absolutely of its time. Music moved into the set theory thing, and moved out of it.

2

Harrison Birtwistle

When I dealt with set theory, I could never make it be the music that I wanted.

与 «SET THEORY»相关的英语书籍

在以下的参考文献中发现set theory的用法。与set theory相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。

Naive Set Theory

The reader should derive from this volume a maximum of understanding of the theorems of set theory and of their basic importance in the study of mathematics." --PHILOSOPHY AND PHENOMENOLOGICAL RESEARCH

P. R. Halmos, 1960

Elements of Set Theory

This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Herbert B. Enderton, 1977

Set Theory

This is a classic introduction to set theory, from the basics through to the modern tools of combinatorial set theory.

Andras Hajnal, Peter Hamburger, 1999

Fuzzy Set Theory—and Its Applications

Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines.

Hans-Jürgen Zimmermann, 2001

Set Theory and Metric Spaces

This is a book that could profitably be read by many graduate students or by seniors in strong major programs ... has a number of good features.

Irving Kaplansky, 2001

Discovering Modern Set Theory: The basics

Recommended. --Monatshefte fur Mathematik This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics.

Winfried Just, Martin Weese, 1996

Set Theory: An Introduction

A text on set theory that includes solutions to the problems.

Robert L. Vaught, 2001

Axiomatic Set Theory

Since the first edition of this book was published, Paul J. Cohen has shown that the axiom of choice is independent of the other axioms of Zermelo-Fraenkel set theory. Godel proved earlier that if Zermelo-Fraenkel's set theory is consistent, ...

Patrick Suppes, 2012

Basic Set Theory

This book provides just that in the form of a leisurely exposition for a diversified audience.

Nikolai Konstantinovich Vereshchagin, Alexander Shen, 2002

Algebraic Set Theory

This book offers a new algebraic approach to set theory.

Andri Joyal, Ieke Moerdijk, 1995

包含词语«SET THEORY»的新条目

找出国内和国际出版社所讨论的内容，以及词语set theory在以下新条目的上下文中是如何使用的。

Will Computers Redefine the Roots of Math?

Set theory grew out of an impulse to put mathematics on an entirely rigorous footing—a logical basis even more secure than numbers themselves. Set theory ... «Wired, 六月 15»

How Infinitely Big Is God?

You can use Set Theory to study the cereal aisle at a grocery store. What cereal boxes have a cartoon character on them (Set A)? What cereals will Mom let me ... «ChristianityToday.com, 十二月 14»

Russell's Paradox: Here's Why Math Can't Have A Set Of Everything

The people who invented set theory also started out with a pretty vague idea of what sets are, and this vagueness led to some serious problems. Mathematician ... «Business Insider, 十一月 13»