What are some recommended books on mathematical logic and set theory?

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Hello,

I would like to know about a good introductory book on mathematical logic. It should start from set theory , include ZFC axioms and also touch on Godel's theorems.
 
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Set theory and mathematical logic are quite different. What you may want is a book about the history of set theory.

Or perhaps a book like "Set Theory and Its Logic - Quine" which addresses various axiom systems would be suitable.
 
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