The rules do not necessarily enumerate the full meanings of words but, instead they deal with meaning relations between specific words. In such a way many of the descriptive terms in the language which appear irreducible otherwise can be fully specified in the form of a realtional matrix. There are a number of problems with this relational matrix that may not be immediately apparent. Firstly, there seems to be a problem with the length of the list. It is obvious that in a very short time the number of properties listed would far outstrip our mental capacity.
All dogs are mammals.
All dogs are animals. Somewhere we must have the concept of deductive inference. What I claim is that the concept must appear outside the set of A-postulates in order to avoid a circularity problem. Quine suggests some departures from conventional theory in his views on the analytic and tthe realtion of language to thought. As we have seen earlier depending on only sense impressions as the direct source of information without some more developed structure leads us to problems.