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The users who voted to close gave this specific reason: "This question does not appear to be about research level mathematics within the scope defined in the help center. Caicedo, Michael Albanese, Stefan Waldmann, Mark Sapir If this question can be reworded to fit the rules in the help center , please edit the question. I'm surprised my favorite introduction to mathematical logic hasn't been mentioned by anyone.
Logic, Set Theory and Matrices
It's Robert S. Wolf has written a book that is extremely compelling to read. His passion for the subject comes through in every sentence. It reads like a novel on mathematial logic and set theory, complete with detailed historical notes, philosophical insights and lots of problems. The book is practically a meditation on the answer to any frustrated student of logic's question,"Why is this important? As a follow up, I recommend the classic introduction by my old teacher, Elliott Mendelson, An Introduction To Mathematical Logic , a deep and masterfully written introduction for graduate students.
Those would be my recommendations. Joe Mileti wrote a really nice set of course notes on mathematical logic approx 20 weeks of lectures.
Set Theory: Constructive and Intuitionistic ZF (Stanford Encyclopedia of Philosophy)
It's a draft for a book titled, I think, "Mathematical Logic for Mathematicians. He's a very nice guy, and I would suggest contacting him about it. My memory is a bit hazy about the topics he covered, but we discussed propositional and first order logic, nonstandard analysis, and axiomatic set theory. I also remember that some highlights included connections to graph theory and algebra I guess this sort of touches upon his research themes.
Set Theory and Logic Robert R. This was our text in some course. See inside. If you're a beginner to mathematical logic, as you seem to imply, I would strongly recommend you start off by getting acquainted with classical propositional and predicate logic. There is a very useful online set of aritlces on the subject, with interactive exercises.
The sections relevant to mathematical logic would be:. This book is a general textbook on Logic, so it's not for beginners, but anyway, the text is called "Mathematical Logic" by Yu.
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Maybe it's available in some library somewhere? If you previously purchased this article, Log in to Readcube. Log out of Readcube. Click on an option below to access. Log out of ReadCube. Volume 20 , Issue 6. If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account.
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NOTES ON LOGIC AND SET THEORY
Drake Search for more papers by this author. Tools Request permission Export citation Add to favorites Track citation. Share Give access Share full text access. Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article. Faculty of Mathematics. The amount of knowledge in logic and set theory assumed in the Part III logic courses differs by course: Logic : essential for courses in model theory and set theory; important for courses in category theory.
Set Theory : essential for courses in set theory; important for courses in model theory. If you feel that you need to brush up on your logic background, the following resources will be useful: The lecture notes Logic and Set Theory by Imre Leader.
Part III (MMath/MASt)
Peter T. Set Theory Some of the Part III logic courses assume that students are familiar with the basics of axiomatic set theory such as the axioms of Zermelo-Fraenkel set theory, the Axiom of Choice, and ordinals and cardinals. Study at Cambridge Undergraduate Graduate International students Continuing education Executive and professional education Courses in education.