A survey of the history of Western philosophy. ... Kant: Synthetic A Priori Judgments ... Synthetic a priori judgments are the crucial case, since only they could provide new information that is necessarily true. But neither Leibniz nor Hume considered the possibility of any such case.
www.philosophypages.com/hy/5f.htm
Analytic-synthetic distinction - Wikipedia, the free encyclopedia
The analytic-synthetic distinction is a conceptual distinction, used primarily in philosophy to distinguish propositions into two types: analytic propositions and synthetic propositions . Analy...
en.wikipedia.org/wiki/Analytic-synthetic_distinction
A survey of the literature on the problem of the synthetic a priori soon reveals that the term "analytic" is used in a narrower and a broader sense. In the narrower sense, a proposition is analytic if it is either a truth of logic or is logically true.
www.ditext.com/sellars/itsa.html
We cannot, of course, infer directly from this that, unless there are intuitably a priori synthetic truths, there are no a priori synthetic truths at all. ... If this further principle be admitted, we can proceed to assert that there can be no synthetic a priori truths unless there be synthetic intuitably a priori truths.
www.ditext.com/broad/apriori.html www.ditext.com/broad/apriori.html
An excerpt from Bergmann's 1967 Logic and Reality, with original pagination. ... That is, only synthetic true sentences represent facts. Many philosophers have tried to establish a dichotomy among facts. The traditional labels are synthetic a priori and synthetic a posteriori.
www.hist-analytic.org/BergmannApriori.html www.hist-analytic.org/BergmannApriori.html
But do synthetic a priori judgments exist, and when (if at all) are we actually justified in calling them "knowledge"? Indeed, they do exist; it's not unreasonable to say that all the really "interesting" judgments are exactly of this kind.
www.nutters.org/docs/kant-sap
Finally, metaphysical knowledge, -if we have any-, would be synthetic a priori knowledge—non-trivial knowledge about reality that can be justified without appeal to sense experience.  So, if Kant can show how synthetic a priori knowledge is possible, he will have shown how metaphysical knowledge is possible.  But...
homepages.wmich.edu/~baldner/kantreview.htm
"Quine's Ladder: Two and a Half Pages from the Philosophy of Logic". In Midwest Studies in Philosophy 32 (2008), pp. 274-312. ... "Two Conceptions of the Synthetic A Priori", in Hahn, ed., The Philosophy of Roderick M. Chisholm (The Library of Living Philosophers; Open Court 1997).
philosophy.nd.edu/people/all/profiles/david-marian/
Professor of Philosophy, Ohio State University. ... I maintain the website LAOS: Logicians at Ohio State. If you are a member and would like to have your information updated on this website, please send me an email.
people.cohums.ohio-state.edu/tennant9/
In the 3. of his Logische Untersuchungen Husserl declares those pure laws as being synthetic a priori, in which the occuring non-formal terms are not formalizable salva veritate (Husserl, XIX/1, 260). Unfortunately, and despite my sympathy for Husserl's ontological view, such a claim does not tell us what kind of...
www.bu.edu/wcp/Papers/Meta/MetaBurg.htm