Sun 29 May 2005
More on the Psychology of Closure Affirmation
Posted by Jon Kvanvig under contextualism, knowledge
[16] Comments
I’ve been thinking more about closure, and what leads epistemologists to accept it in a theory of knowledge or justification. A standard way in which closure is defended is by appeal to something like intuitions. You consider all the examples you can think of, and note how closure is preserved. You also make some point about extending knowledge through competent deduction. All of this culminates in a predilection to explain away apparent counterexamples to closure, such as Dretske’s zebra/mule case.
Each of these steps can be questioned, especially when we consider how various deductive principles for first-order logic have to be abandoned when thinking about the logic of subjunctives. For a broad variety of subjunctives, hypothetical syllogism is just fine; but it only takes a good counterexample or two to undermine the rule. And notice that if you really want to preserve such principles for subjunctives, it is not that hard to see how to go contextual about them to preserve them (UPDATE: probably the best example here would be that of strengthening the antecedent, which is the example Heller uses). Moreover, extending knowledge through competent deduction doesn’t require a closure principle. It only requires that the method is justification-preserving or highly reliable, in a way that doesn’t normally introduce gettierization.
So the psychology of closure affirmation still puzzles me.