What are the best introductory books on Set Theory and Logic for beginners?

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Discussion Overview

The discussion centers around recommendations for introductory books on Set Theory and Logic, particularly for beginners who may find existing texts challenging. Participants share their experiences and suggest various titles that cover similar topics to those found in Stoll's book.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant is currently reading "Set Theory and Logic" by Stoll but feels unprepared for the material and seeks more accessible alternatives.
  • Another participant suggests "How to Prove It" by Vellerman for learning proofs, along with books by Suppes and Schaum's Outline as potential resources.
  • A third participant provides a longer list of titles, including "A Mathematical Introduction to Logic" and "Elements of Set Theory" by Enderton, "Naive Set Theory" by Halmos, and others, indicating a variety of options for beginners.

Areas of Agreement / Disagreement

Participants generally agree on the need for more accessible introductory materials, but there is no consensus on a single best recommendation, as multiple titles are proposed.

Contextual Notes

Some suggestions may depend on specific learning goals, such as understanding proofs or foundational concepts in set theory, which could affect their suitability for different readers.

Who May Find This Useful

Beginners in mathematics, particularly those interested in set theory and logic, as well as educators seeking resources for teaching these topics.

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Hi,
Right now I am currently going through Set Theory and Logic by Stoll. This is my first time going through Set Theory, Logic, and everything else in the book. I feel like I'm not getting all I can out of this book because I don't feel like I'm on the same level, I struggle to answer the exercises. Can anyone recommend a perhaps more introductory book for me that includes much of the same topics as the one I'm reading?


Thanks in advance
 
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I'm not sure if it includes the same topics, but there is Vellerman's How to Prove It. if you're trying to learn how to do proofs. There's also the books by Suppes. There's always Schaum's Outline.
 
Ok, here's a longer list

A Mathematical Introduction to Logic Enderton
Elements of Set Theory Enderton
Introduction to Mathematical Logic Mendelson
Naive Set Theory Halmos
Introduction to Mathematical Logic Gensler
Mathematical Logic Ebbinghaus
Logic for Mathematicians Hamilton
 
thank you sir
 

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