Large Cardinals from Determinacy

1. Thomas J. Jech. Set Theory. Springer, Berlin, 2003. Third millennium edition, revised and expanded.

   MATH  Google Scholar 

2. Akihiro Kanamori. The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings. Springer Monographs in Mathematics. Springer, Berlin, 2003. Second edition.

   MATH  Google Scholar 

3. Alexander S. Kechris and Robert M. Solovay. On the relative strength of determinacy hypotheses. Transactions of the American Mathematical Society, 290(1):179–211, 1985.

   Article  MATH  MathSciNet  Google Scholar 

4. Alexander S. Kechris and W. Hugh Woodin. Equivalence of partition properties and determinacy. Proceedings of the National Academy of Science USA, 80:1783–1786, 1983.

   Article  MATH  MathSciNet  Google Scholar 

5. Alexander S. Kechris, Donald A. Martin, and Robert M. Solovay. Introduction to Q-theory. In Alexander S. Kechris, Donald A. Martin, and Yiannis N. Moschovaskis, editors, Cabal Seminar 79–81, volume 1019 of Lecture Notes in Mathematics, pages 199–282. Springer, Berlin, 1983.

   Chapter  Google Scholar 

6. Alexander S. Kechris, Yiannis N. Moschovakis, W. Hugh Woodin, and E. M. Kleinberg. The axiom of determinacy, partition properties, and non-singular measures. In Alexander S. Kechris, Donald A. Martin, and Yiannis N. Moschovaskis, editors, Cabal Seminar 77–79, volume 839 of Lecture Notes in Mathematics, pages 75–99. Springer, Berlin, 1981.

   Chapter  Google Scholar 

7. Peter Koellner. On the question of absolute undecidability. Philosophia Mathematica, 14(2):153–188, 2006. 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, Urbana, 2009.

   Article  MATH  MathSciNet  Google Scholar 

8. Paul B. Larson. The Stationary Tower. Notes on a Course by W. Hugh Woodin, volume 32 of University Lecture Series. American Mathematical Society, Providence, 2004.

   MATH  Google Scholar 

9. Yiannis N. Moschovakis. Descriptive Set Theory. North-Holland, Amsterdam, 1980.

   MATH  Google Scholar 

10. Itay Neeman. The Determinacy of Long Games, volume 7 of de Gruyter Series in Logic and Its Applications. de Gruyter, Berlin, 2004.

    MATH  Google Scholar 

11. John Steel. Mathematics needs new axioms. The Bulletin of Symbolic Logic, 6(4):422–433, 2000.

    MathSciNet  Google Scholar 

12. W. Hugh Woodin. Suitable extender sequences.

    Google Scholar 

13. W. Hugh Woodin. The Continuum Hypothesis. In Rene Cori, Alexander Razborov, Stevo Todorcevic, and Carol Wood, editors, Logic Colloquium 2000, volume 19 of Lecture Notes in Logic, pages 143–197. Association of Symbolic Logic, Urbana, 2005.

    Google Scholar 

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