Closure, Counter-Closure, and Inferential Knowledge
Abstract
The chapter begins with some general remarks about closure and counter-closure, and is followed with a discussion of the following: I (a) review some (alleged) counterexamples to counter-closure, I then continue by (b) discussing a popular strategy for responding to such counterexamples to counter-closure, and finally I (c) pose a dilemma for this popular strategy. Once I have discussed these three points I conclude the chapter by proposing that we reject counter-closure, but at the same time that we accept an epistemological package that includes closure and another intuitively plausible principle with regards to the psychology and epistemology of deductive inference.