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This post should fit the bill, or if not, I'll try to fill in the details later -
http://rebirthofreason.com/Forum/ArticleDiscussions/0581_4.shtml#81
Edit - In case the link doesn't work out, I've pasted my argument here from that post:
There are many websites out there explaining how Kant brought together or synthesized rationalism and empiricism. The synthetic a priori is part of that solution, and it is particularly useful in explaining where Hume went wrong in his critique of causality.
Hume held to a similar distinction in propositions, it has survived in the form of logical positivism which Rand and Peikoff criticized. It was simply necessary for Hume to see the error of his ways using this handy list of the possible forms of judgment:
analytic a priori synthetic a priori analytic a posteriori synthetic a posteriori
Since a posteriori judgments are always synthetic, that eliminates the possibility of analytic a posteriori judgments. So that leaves us with:
analytic a priori synthetic a priori synthetic a posteriori
Now if Hume, lacking such a handy chart, miscategorized causal relationships as synthetic a posteriori, which are always contingent, it is only because he failed to conceptualize the possibility of synthetic a priori judgments which are always necessary yet always relate to experience.
And that is exactly the solution to the problem of causality set forth by David Hume.
(Edited by Robert Keele on 1/15, 12:54pm)
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