ABSTRACT

What precise interpretation are we to place upon the wffs of syllogistic logic? What exactly are propositions of the form ‘All S is P’ and the rest supposed to assert? If you are inclined to reply, as you may be at first, that we should understand ‘All S is P’ simply in terms of what sentences of the form ‘All so-and-so’s are such-and-such’ mean in ordinary English, and the other schemata in an analogous way, then what you say will be open to the objections that in the first place it is not at all clear precisely what such English sentences are used to assert, and that in the second place it is virtually certain that not all sentences of the form ‘All so-and-so’s are such-and-such’ are used to assert the same kind of thing.