{{menu|events|The iterative conception of properties and comprehension}} Talk held by Sam Roberts (University of Oslo, Norway) at the KGRC [[Friday seminar]] on 2017‑05‑05. ===Abstract=== Mathematicians appeal to proper classes: that is, collections too large to form sets. But what are classes if not sets? One response is that classes are properties. Properties are sharply distinguished from sets: they are intensional whereas sets are extensional. Fine and Linnebo have proposed theories on which properties are “built up” in a series of stages. Unfortunately, neither of these theories imply that there are very many properties. In this talk, I will propose an improvement of these theories. More precisely, by ensuring that the stages extend far enough, I will show that the they can be modified to interpret Morse-Kelly class theory, which implies the existence of a plethora of classes. {{comment|=== Time and Place === Sandwiches at 12:00pm in the KGRC [[floor plan|meeting room]] Talk at a convenient time afterward in the KGRC [[floor plan|lecture room]]}}