Intro -- Table of Contents -- Preface -- Russell's earliest reactions to Cantorian set theory, 1896-1900 -- Sets of ordinals constructible from trees and the third Victoria Delfino problem -- Existence of bases implies the axiom of choice -- Small extensions of models of set theory -- The pin-up conjecture -- Generic reals close to o# -- Families of almost disjoint functions -- Homomorphism axioms and lynxes -- Infinitary logic and o# -- An extravagant partition relation for a model of arithmetic -- Stationary subsets of inaccessible cardinals -- Rational perfect set forcing -- Indiscernibles, skies, and ideals -- On cardinal invariants of the continuum -- A note on the proper forcing axiom -- Souslin trees constructed from Morasses -- PKλ combinatorics I: Stationary coding sets rationalize the club filter.