PEOPLE who are cynical as to the morality of the English are often unpleasantly surprised to learn that " All trespassers will be prosecuted " does not necessarily imply that " some trespassers will be prosecuted/' The view that universal propositions are non-existential is now generally held : Bradley and Venn seem to have been the first to hold this, while older logicians, such as De Morgan,1 considered universal propositions to be existential, like particular ones.