Under some conditions on f(u), we show that for small, the only solutions to the following elliptic equation u ? u + f(u) = 0 in ; u > 0 in ; @u @ = 0 on @ are constants, provided that R 3 is convex. The proof only uses integration by parts.

Suppose a sentence of the following form is true in a certain context: ‘Necessarily, whenever one believes that the F is uniquely F if anything is, and x is the F, one believes that x is uniquely F if anything is’. I argue that almost always, in such a case, the sentences that result when both occurrences of ‘believes’ are replaced with ‘has justification to believe’, ‘knows’, or ‘knows a prior...

'A P.RIO~I' has been a popu~ar .term with phil?s~phers at least since Kant distmgmshed between a pnon and a postenon knowledge. Yet, despite the frequency with which it has been used in twentieth century philosophy, there has been little discussion of the concept of apriority. 1 Some writers seem to take it for granted that there are propositions, such as the truths of logic and mathematics, wh...