Teach yourself logic, #4: Beginning set theory (again)

After my last post, I had second thoughts. Given the number of books on set theory there are out there which are worth a mention at some point or other even in a very selective reading list, it would be much better to divide the appropriate chunk of the Teach Yourself Logic Guide into two sections, one on the elements of set theory, another carrying the story forward.


What do I mean by ‘elements’ here? But ostension, the contents of e.g. Enderton’s The Elements of Set Theory. By description, the construction of numbers systems in set theoretic terms, the development of cardinal and ordinal arithmetic, stuff about the use of axiom(s) of choice. So understood, the elementary stuff stops before we start discussing large-cardinal axiom, or get into showing the Axiom of Choice is consistent with ZF, or the continuum hypothesis is independent of ZFC.


Ok, with the more restricted brief of giving a reading guide to books covering the elements of set theory but not going further, what might a sensible list look like? Well you can see my revised effort as the final section of the current Guide which you can download here.


Do have a look: suggestions and comments are extremely welcome!

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Published on October 12, 2012 12:22
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