Abraham, Uri and Shelah, Saharon, Δ22 well-order of the reals and incompactness of L(QMM), Annals of Pure and Applied Logic, vol. 59 (1993), no. 1, pp. 1–32.
Bagaria, Joan, Castells, Neus, and Larson, Paul, An Ω-logic primer, Set theory (Bagaria, Joan and Todorcevic, Stevo, editors), Trends in Mathematics, Birkhäuser, Basel, 2006, pp. 1–28.
Davis, Morton, Infinite games of perfect information, Advances in game theory (Dresher, Melvin, Shapley, Lloyd S, and Tucker, Alan W., editors), Annals of Mathematical Studies, vol. 52, Princeton University Press, Princeton, 1964, pp. 85–101.
Feferman, Solomon Jr., Dawson, John W., Kleene, Stephen C., Moore, Gregory H., Solovay, Robert M., and van Heijenoort, Jean (editors), Gödel, Kurt, Collected works, Volume II: Publications 1938–1974, Oxford University Press, New York and Oxford, 1990.
Feng, Qi, Magidor, Menacham, and Woodin, W. Hugh, Universally Baire sets of reals, Set theory of the continuum (Judah, Haim, Just, Winfried, and Woodin, W. Hugh, editors), Mathematical Sciences Research Institute, vol. 26, Springer-Verlag, Berlin, 1992, pp. 203–242.
Gödel, Kurt, Remarks before the Princeton bicentennial conference on problems in mathematics, In Feferman et al. , pp. 150–153.
Hamkins, Joel David and Woodin, W. Hugh, Small forcing creates neither strong nor Woodin cardinals, Proceedings of the American Mathematical Society, vol. 128 (2000), no. 10, pp. 3025–3029.
Kanamori, Akihiro, The higher infinite: Large cardinals in set theory from their beginnings, second ed., Springer Monographs in Mathematics, Springer, Berlin, 2003.
Koellner, Peter, On the question of absolute undecidability, Philosophia Mathematica, vol. 14 (2006), no. 2, pp. 153–188, Revised and reprinted in Kurt Gödel: Essays for his Centennial, edited by Solomon Feferman, Charles Parsons, and Stephen G. Simpson. Lecture Notes in Logic, 33. Association of Symbolic Logic, 2009.
Koellner, Peter, Truth in mathematics: The question of pluralism. New waves in philosophy of mathematics (Bueno, Otávio and Linnebo, Øystein, editors), New Waves in Philosophy, Palgrave Macmillan, 2009, Forthcoming.
Larson, Paul, The stationary tower: Notes on a course by W. Hugh Woodin, University Lecture Series, vol. 32, American Mathematical Society, 2004.
Larson, Paul, Ketchersid, Richard, and Zapletal, Jindrich, Regular embeddings of the stationary tower and Woodin's Σ22 maximality theorem, preprint, 2008.
Laver, Richard, Certain very large cardinals are not created in small forcing extensions. Annals of Pure and Applied Logic, vol. 149 (2007), no. 1-3, pp. 1–6.
Lévy, Azriel and Solovay, Robert M., Measurable cardinals and the continuum hypothesis, Israel Journal of Mathematics, vol. 5 (1967), pp. 234–248.
Martin, Donald A. and Steel, John R., The extent of scales in L(ℝ), Cabal seminar 79–81 (Kechris, Alexander S., Martin, Donald A., and Moschovakis, Yiannis S., editors), Lecture Notes in Mathematics, no. 1019, Springer-Verlag, Berlin, 1983, pp. 86–96.
Martin, Donald A. and Steel, John R., A proof of projective determinacy, Journal of the American Mathematical Society, vol. 2 (1989), no. 1, pp. 71–125.
Mycielski, Jan and Swierczkowski, Stanislaw, On the Lebesgue measurability and the axiom of determinateness, Fundament a Mathematicae, vol. 54 (1964), pp. 67–71.
Paris, Jeff and Harrington, Leo, A mathematical incompleteness in Peano Arithmetic, Handbook of mathematical logic (Barwise, Jon, editor), Studies in Logic and the Foundations of Mathematics, vol. 90, Elsevier, Amsterdam, 1977, pp. 1133–1142.
Shelah, Saharon and Woodin, W. Hugh, Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable, Israel Journal of Mathematics, vol. 70 (1990), pp. 381–394.
Woodin, W. Hugh, Σ12 absoluteness, unpublished, 05 1985.
Woodin, W. Hugh,Supercompact cardinals, sets of reals, and weakly homogeneous trees, Proceedings of the National Academy of Sciences, vol. 85 (1988), no. 18, pp. 6587–6591.
Woodin, W. Hugh,The axiom of determinacy, forcing axioms, and the nonstationary ideal, de Gruyter, Series in Logic and its Applications, vol. 1, de Gruyter, Berlin, 1999.
Woodin, W. Hugh,Beyond absoluteness, Proceedings of the International Congress of Mathematicians, (Beijing, 2002), vol. I, Higher Education Press, Beijing, 2002, pp. 515–524.
Woodin, W. Hugh,Suitable Extender Sequences, To appear, 2009.