Kripke devotes one paragraph to explaining the concept of the a priori
and ends with the view that it might be best:
".. to stick to the question of whether a particular person or knower
knows something a priori or believes it true on the basis of a
priori evidence."
He has abandoned, ab inito any attempt to make sense of the a
priori as an objective classification of propositions.
So we might wonder what relevance the sequel might have to anyone whose interest is
confined to these concepts as classifications for propositions, and wonder what is the
point in comparing these concepts with that of necessity if they do not classify propositions.
Not content with failing to provide an account of a priori as a
classifier of propositions he then devotes one paragraph to arguing, in effect
that this cannot be done.
i.e. he rejects the idea that if something can be known a priori then it
cannot be known a posteriori.
In arguing the case his examples glide effortlessly between observations about
a priori belief and a priori knowledge in such a way as to make
me suspect that he considers the epistemic status of knowledge to be the same
as the epistemic status of the belief.
He does not appear to consider the possibility that the justification
which may be thought necessary for the belief to be considered knowledge might have a role
to play in determining epistemic status.
By contast, I believe that for the concept of the a priori to work best
it should not be used at all as a qualifier of beliefs, and its use in relation
to knowledge should be to qualify the justification on the basis of which the
knowledge is supposed to have been established.
Finally, we might add, that knowledge is only true knowledge if its supposed justification does in fact justify, and that
this will only be the case if the justification offered is appropriate to the subject matter of the proposition in question.
If the proposition makes a substantive claim about the world, then an a
posteriori justification might be expected, otherwise only an a priori
justification is required if the necessity or analyticity of the claim is to be established (though an a posteriori justification
might possibly suffice to demonstrate its truth).
Thus, for a belief to be knowledge, its justification must be
epistemically appropriate, and the kind of justification involved has little to
do with how anyone may have come to believe the proposition.