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This might be different from colleges to colleges, but anyway:

Is reverse mathematics covered in usual undergraduate math programs?

If so, how far is it covered?

Just a curious question, as reverse mathematics seems something somehow different from other maths...

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What is a "usual" undergraduate math program? – Qiaochu Yuan May 31 '12 at 4:04
What are 'reverse mathematics'? – copper.hat May 31 '12 at 4:04
up vote 3 down vote accepted

By "Reverse Mathematics", I assume you mean the field of Mathematical Logic.

It is no surprise to me that essentially no undergraduate programs would have a course in Reverse Mathematics, or even if most undergraduate programs had a requirement in Mathematical Logic that Reverse Mathematics would not even be touched upon in such a course. As is with other sub-fields of Mathematics, there is simply not even room in an undergraduate program to discuss other "non-standard" approaches to mathematics which may not be of interest to the majority of the students in the program.

As far as I know, even taking a full-fledged course in Set Theory is not even a requirement for most undergraduate programs and is even merely relegated to an option. With this in mind, I believe there are more important topics to be discussed in an undergraduate program than Reverse Mathematics; namely, Set Theory.

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Reverse mathematics is a subfield of logic ( – Qiaochu Yuan May 31 '12 at 4:17
Thanks for the explanation. – copper.hat May 31 '12 at 4:18
@QiaochuYuan: I am aware of that. – Samuel Reid May 31 '12 at 17:48

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