ABSTRACT

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.