按顺序：1. 《Book of Proof》 1a. 《How to Prove It: A Structured Approach》 2. 恩德顿（Enderton）的《集合论基础》（Elements of Set Theory） 2a. 哈尔莫斯（Halmos）的《朴素集合论》（Naive Set Theory） 3. 兰道（Landau）的《分析基础》（Foundations of Analysis） 4. 朗（Lang）的《基础数学》（Basic Mathematics） 5. Allendoerfer 和 Oakley 的《数学原理》（Principles of Mathematics） 6. 《走向高等数学》……
In order: 1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics…
…the axiom of separation, also known as the axiom of subsets or the axiom of comprehension. I recommend you pick up a book on ZFC if you are interested in understanding set theory. I found Enderton’s “Elements of Set Theory” to be a really good introductory text.
……Daniel Cunningham 的这本教材：这本书是一本很好的参考书，但在自学集合论方面做的假设太多了。实际上我不得不买了两次，因为亚马逊第一次没送达！2. Herbert Enderton 的《集合论基础》：这本书其实还不错，如果我找不到更好的，可能就只能选它了。不过这本书实在太老了，我得去买本纸质书，因为里面的数学符号……
…Course" by Daniel Cunningham: this book is a good reference book but makes too many assumptions to teach yourself set theory. I actually had to buy this one twice since Amazon didn't deliver the first! 2. "Elements of Set Theory" by Herbert Enderton: This book is actually not too bad and I may have to default to it if I find nothing better. This book however is ancient and I'll have to buy a physical copy because the math symbols…
……所提到的，对无限的研究通常属于数学里的集合论范畴，因此一本集合论教材会是数学家眼中关于无限的权威资料。我是通过 Herbert Enderton 的《集合论基础》这本书学习集合论的。我觉得那本书还行，但不会给极力推荐。内容非常枯燥且偏技术性，而且大部分内容跟无限其实没啥关系。
…mentions, the study of infinity generally falls under the math subject of set theory so a set theory textbook would be a mathematician’s definitive resource on infinity. I learned set theory from the book Elements of Set Theory by Herbert Enderton. I’d say that books alright, but would not give it my highest recommendation. It’s very dry and technical, and most of it’s not about infinity.
按顺序：1. 《Book of Proof》 1a. 《How to Prove It: A Structured Approach》 2. 恩德顿（Enderton）的《集合论基础》（Elements of Set Theory） 2a. 哈尔莫斯（Halmos）的《朴素集合论》（Naive Set Theory） 3. 兰道（Landau）的《分析基础》（Foundations of Analysis） 4. 朗（Lang）的《基础数学》（Basic Mathematics） 5. Allendoerfer 和 Oakley 的《数学原理》（Principles of Mathematics） 6. 《走向高等数学》……
In order: 1. Book of Proof 1a. How to Prove It: A Structured Approach 2. Elements of Set Theory - Enderton 2a. Naive Set Theory - Halmos 3. Foundations of Analysis - Landau 4. Basic Mathematics - Lang 5. Principles of Mathematics - Allendoerfer & Oakley 6. A Transition to Advanced Mathematics…
……分离公理，也称子集公理或概括公理。如果你对理解集合论感兴趣，我建议找一本讲 ZFC 的书来看看。我觉得恩德顿的《集合论基础》是一本非常好的入门教材。
…the axiom of separation, also known as the axiom of subsets or the axiom of comprehension. I recommend you pick up a book on ZFC if you are interested in understanding set theory. I found Enderton’s “Elements of Set Theory” to be a really good introductory text.
Herbert B. Enderton 写的《集合论基础》…… ℝ ≈ P(ℕ)
"Elements of Set Theory" by Herbert B. Enderton.... ℝ ≈ P(ℕ)
……Daniel Cunningham 的这本教材：这本书是一本很好的参考书，但在自学集合论方面做的假设太多了。实际上我不得不买了两次，因为亚马逊第一次没送达！2. Herbert Enderton 的《集合论基础》：这本书其实还不错，如果我找不到更好的，可能就只能选它了。不过这本书实在太老了，我得去买本纸质书，因为里面的数学符号……
…Course" by Daniel Cunningham: this book is a good reference book but makes too many assumptions to teach yourself set theory. I actually had to buy this one twice since Amazon didn't deliver the first! 2. "Elements of Set Theory" by Herbert Enderton: This book is actually not too bad and I may have to default to it if I find nothing better. This book however is ancient and I'll have to buy a physical copy because the math symbols…
……所提到的，对无限的研究通常属于数学里的集合论范畴，因此一本集合论教材会是数学家眼中关于无限的权威资料。我是通过 Herbert Enderton 的《集合论基础》这本书学习集合论的。我觉得那本书还行，但不会给极力推荐。内容非常枯燥且偏技术性，而且大部分内容跟无限其实没啥关系。
…mentions, the study of infinity generally falls under the math subject of set theory so a set theory textbook would be a mathematician’s definitive resource on infinity. I learned set theory from the book Elements of Set Theory by Herbert Enderton. I’d say that books alright, but would not give it my highest recommendation. It’s very dry and technical, and most of it’s not about infinity.