Elements of set theory
by Herbert B. Enderton · first published 1977
5mentions
3recommended by
5HN commenters
2015–2024first – last mentioned
60% recommend20% neutral20% critical
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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…
on “Ask HN: Serious mathematics books that can replace a good teacher?” ↗…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.
on “Georg Cantor and His Heritage” ↗"Elements of Set Theory" by Herbert B. Enderton.... ℝ ≈ P(ℕ)
on “Ask HN: What is the most mind blowing book you've ever read?” ↗…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…
on “Ask HN: Any recommendations on a modern/good set theory book?” ↗…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.
on “Ask HN: Does anyone know of any textbooks on infinity?” ↗