Interpretability in Category Theory
Presheaf models for constructive set theory were introduced by Nicola Gambino in 2004. They are analogous to the Presheaf models for intuitionistic set theory developed by Dana Scott in the 1980s (which remained unpublished).
Read more about this topic: Constructive Set Theory
Famous quotes containing the words category and/or theory:
“The truth is, no matter how trying they become, babies two and under dont have the ability to make moral choices, so they cant be bad. That category only exists in the adult mind.”
—Anne Cassidy (20th century)
“Everything to which we concede existence is a posit from the standpoint of a description of the theory-building process, and simultaneously real from the standpoint of the theory that is being built. Nor let us look down on the standpoint of the theory as make-believe; for we can never do better than occupy the standpoint of some theory or other, the best we can muster at the time.”
—Willard Van Orman Quine (b. 1908)