John Hawthorne has two forceful arguments in favour of:
Single-Premise Closure (SPC) Necessarily, if S knows p, competently deduces q from p, and thereby comes to believe q, while retaining knowledge of p throughout, then S knows q.
Each of Hawthorne's arguments rests on an intuitively appealing principle which Hawthorne calls the Equivalence Principle. I show, however, that the opponents of SPC with whom he's engaging - namely Fred Dretske and Robert Nozick - have independent reason to reject this principle, and resultantly conclude that Hawthorne's arguments in favour of SPC are not knock-down.