-
20Laver and set theoryArchive for Mathematical Logic 55 (1-2): 133-164. 2016.In this commemorative article, the work of Richard Laver is surveyed in its full range and extent.
-
19Mathias and set theoryMathematical Logic Quarterly 62 (3): 278-294. 2016.On the occasion of his 70th birthday, the work of Adrian Mathias in set theory is surveyed in its full range and extent.
-
19Handbook of mathematical logic, edited by Barwise Jon with the cooperation of Keisler H. J., Kunen K., Moschovakis Y. N., and Troelstra A. S., Studies in logic and the foundations of mathematics, vol. 90, North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1978 , xi + 1165 pp (review)Journal of Symbolic Logic 49 (3): 971-975. 1984.
-
19Zermelo and Set Theory (review)Bulletin of Symbolic Logic 10 (4): 487-553. 2004.Ernst Friedrich Ferdinand Zermelo (1871–1953) transformed the set theory of Cantor and Dedekind in the first decade of the 20th century by incorporating the Axiom of Choice and providing a simple and workable axiomatization setting out generative set-existence principles. Zermelo thereby tempered the ontological thrust of early set theory, initiated the delineation of what is to be regarded as set-theoretic, drawing out the combinatorial aspects from the logical, and established the basic concep…Read more
-
19
-
17Set, or Null class, provides an entrée into our main themes, particularly theBulletin of Symbolic Logic 9 (3): 273-298. 2003.
-
17Regressive partition relations, n-subtle cardinals, and Borel diagonalizationAnnals of Pure and Applied Logic 52 (1-2): 65-77. 1991.We consider natural strengthenings of H. Friedman's Borel diagonalization propositions and characterize their consistency strengths in terms of the n -subtle cardinals. After providing a systematic survey of regressive partition relations and their use in recent independence results, we characterize n -subtlety in terms of such relations requiring only a finite homogeneous set, and then apply this characterization to extend previous arguments to handle the new Borel diagonalization propositions
-
17Review: Saharon Shelah, Cardinal Arithmetic (review)Journal of Symbolic Logic 62 (3): 1035-1039. 1997.
-
14G ödel has emphasized the important role that his philosophical views had played in his discoveries. Thus, in a letter to Hao Wang of December 7, 1967, explaining why Skolem and others had not obtained the completeness theorem for predicate calculus, Gödel wrote: This blindness (or prejudice, or whatever you may call it) of logicians (review)Bulletin of Symbolic Logic 11 (2). 2005.
-
11Perfect-set forcing for uncountable cardinalsAnnals of Mathematical Logic 19 (1-2): 97-114. 1980.
-
11José Ferreirós. Labyrinth of thought. A history of set theory and its role in modern mathematics. Science networks, vol. 23. Birkhäuser Verlag, Basel, Boston, and Berlin, 1999, xxi + 440 pp (review)Bulletin of Symbolic Logic 7 (2): 277-278. 2001.
-
9REVIEWS-Moti Gitik's recent papers on the Singular Cardinals ProblemBulletin of Symbolic Logic 9 (2): 237-241. 2003.
-
52004–05 Winter Meeting of the Association for Symbolic LogicBulletin of Symbolic Logic 11 (3): 454-460. 2005.
-
1Set theory. Gödel and set theoryIn Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Kurt Gödel: Essays for His Centennial, Association For Symbolic Logic. 2010.
-
Putnam’s Constructivization ArgumentIn John Burgess (ed.), Hilary Putnam on Logic and Mathematics, Springer Verlag. 2018.
-
Structures and the Hyperarithmetical Hierarchy. Knight has directed or co-directed seven doctoral dissertations in mathematics and one in electrical engineering. She served on selection panels for the NSF Postdoctoral Fellowships, on program committees of numerous meetings, and as an editor of The Journal of Symbolic Logic (1989-1995) (review)Bulletin of Symbolic Logic 6 (1). 2000.
-
Proceedings of the 20th World Conress of Philosophy, Vol VI , Analytic Philosophy and Logic (edited book)Philosophy Document Center. 2000.
-
Boston UniversityRegular Faculty
Boston, Massachusetts, United States of America
Areas of Interest
Logic and Philosophy of Logic |
Philosophy of Mathematics |