Abstract

The absurdity of (i) and (ii) arises because asserting 'p' normally expresses a belief that p. Normally, when (i) is asserted, what is conjointly expressed and asserted, i.e. a belief that p and a lack of belief that p, is logically impossible, whereas normally, when (ii) is asserted, it is differently absurd, since what is conjointly expressed and asserted, i.e. a belief that p and a belief that -p, is logically possible, but inconsistent. A possible source of confusion between 'impossible' and 'inconsistent' is the fact that a proposition which is inconsistent tout court is always self-contradictory and hence necessarily false, unlike one which is inconsistent with other propositions. Whereas the proposition Ibp&-Ibp is inconsistent, the proposition IBp &IB-p is not. I cannot hold a belief which I lack, but I can..