Set Theory


Axiomatic set theory; transfinite induction; regularity and choice; ordinal and cardinal arithmetic; miscellaneous additional topics.


Introduction to Set Theory, Hrbacek and Jech, CRC Press, 3rd Edition, 1999.


MATH 765 or MATH 791 or concurrent enrollment in MATH 765 or MATH 791, or equivalent evidence of mathematical maturity.

Credit Hours: 


  Pairs, relations, and functions
  Partial orders
  Introduction to logic
  Axioms of set theory
  Axiom of choice
  More on cardinals
  Set theoretic hierarchy
  Advanced topics chosen from the following:
     Filters and ideals
     Ramsey theory
     Delta-system lemma
     Clubs and Diamond
(Porter 2020)
Even Fall Semesters Only

Events Calendar

Using Math

CTE course transformation grant helps Emily Witt, assistant professor of math, develop active learning with student groups in calculus.  Positive results using modules developed with Justin Lyle and Amanda Wilkens, math graduate students, were attained.  Read more

Math and COVID-19: Sources on how math is being used to track the virus and its spread.  AMS link.

A mathematician-musician's breakthrough melds East, West. Read more.

Researcher's innovative approach to flood mapping support emergency management and water officials. Read more.

Nicole Johnson found a way to express her baton twirling using math. See video.