In particular, some of the material on mathematical logic covered in Chapter 5 is briefly reviewed. The book can be used as a text in the classroom as well as for self-study. Filters and Ideals in Partial Orders Filters and ideals in arbitrary partial orders. Chain conditions and closedness conditions in partial orders. Wellfoundedness of ultrapowers.
Measurable cardinals make a first appearance.
Fields of sets. Definition and elementary properties of lattices and Boolean algebras. Representation of Boolean algebras as fields of sets. Stone Duality Theorem. Separative partial orders vs. Boolean algebras.