James Earl Baumgartner came of age mathematically during the emergence of forcing as a fundamental technique of set theory, and his seminal research changed the way set theory is done. He made fundamental contributions to the development of forcing, to our understanding of uncountable orders, to the partition calculus, and to large cardinals and their ideals. He promulgated the use of logic such as absoluteness and elementary submodels to solve problems in set theory, he applied his knowledge of set theory to a variety of areas in collaboration with other mathematicians, and he encouraged a community of mathematicians with engaging survey talks, enthusiastic discussions of open problems, and friendly mathematical conversations.
Forcing with Sequences of Models of Two Types.Itay Neeman - 2014 - Notre Dame Journal of Formal Logic 55 (2):265-298.
Strong Axioms of Infinity and Elementary Embeddings.Robert M. Solovay, William N. Reinhardt & Akihiro Kanamori - 1978 - Annals of Mathematical Logic 13 (1):73-116.
Chain Conditions of Products, and Weakly Compact Cardinals.Assaf Rinot - 2014 - Bulletin of Symbolic Logic 20 (3):293-314,.
Adding a Club with Finite Conditions, Part II.John Krueger - 2015 - Archive for Mathematical Logic 54 (1-2):161-172.
Some Applications of Iterated Ultrapowers in Set Theory.Kenneth Kunen - 1970 - Annals of Mathematical Logic 1 (2):179-227.
In Memoriam: Paul Erdös, 1913-1996.James E. Baumgartner - 1997 - Bulletin of Symbolic Logic 3 (1):70-72.
Review: James E. Baumgartner, Bases for Aronszajn Trees; James E. Baumgartner, Polarized Partition Relations and Almost-Disjoint Functions. [REVIEW]Stevo Todorcevic - 2000 - Bulletin of Symbolic Logic 6 (4):497-498.
Review: James E. Baumgartner, Sacks Forcing and the Total Failure of Martin's Axiom; James E. Baumgartner, Peter Dordal, Adjoining Dominating Functions. [REVIEW]Alan Dow - 2000 - Bulletin of Symbolic Logic 6 (4):495-497.
Review: James E. Baumgartner, Alan Taylor, Stanley Wagon, Angus Macintyre, Leszek Pacholski, Jeff Paris, Ideals on Uncountable Cardinals; J. E. Baumgartner, A. D. Taylor, S. Wagon, Structural Properties of Ideals; James E. Baumgartner, Alan D. Taylor, Saturation Properties of Ideals in Generic Extensions. [REVIEW]Thomas Jech - 2001 - Bulletin of Symbolic Logic 7 (1):79-79.
Baumgartner James E.. Sacks Forcing and the Total Failure of Martin's Axiom. Topology and its Applications, Vol. 19 (1985), Pp. 211–225. Baumgartner James E. And Dordal Peter. Adjoining Dominating Functions. The Journal of Symbolic Logic, Vol. 50 (1985), Pp. 94–101. [REVIEW]Alan Dow - 2000 - Bulletin of Symbolic Logic 6 (4):495-497.
A Diamond Example of an Ordinal Graph with No Infinite Paths.James E. Baumgartner & Jean A. Larson - 1990 - Annals of Pure and Applied Logic 47 (1):1-10.
Baumgartner James E.. Bases for Aronszajn Trees. Tsukuba Journal of Mathematics, Vol. 9 (1985), Pp. 31–40. Baumgartner James E.. Polarized Partition Relations and Almost-Disjoint Functions. Logic, Methodology and Philosophy of Science VIII, Proceedings of the Eighth International Congress of Logic, Methodology and Philosophy of Science, Moscow, 1987, Edited by Fenstad Jens Erik, Frolov Ivan T., and Hilpinen Risto, Studies in Logic and the Foundations of Mathematics, Vol. 126, North-Holland, Amsterdam ... [REVIEW]Stevo Todorcevic - 2000 - Bulletin of Symbolic Logic 6 (4):497-498.
In Memoriam, Gustav Earl Mueller (May 12, 1898–July 10, 1987).Ingrid H. Shafer - 1987 - The Owl of Minerva 19 (1):125-126.
In Memoriam Earl LeVerne Crum, 1891-1961.J. A. Maurer - 1961 - Classical World: A Quarterly Journal on Antiquity 55 (2):33.
Liz James. [REVIEW]Ngrid Baumgärtner - 2007 - Speculum 82 (2):410-412.
Infinite Subscripts From Infinite Exponents.James E. Baumgartner & James M. Henle - 1984 - Journal of Symbolic Logic 49 (2):558-562.
Elisabeth Baumgartner, Wilhelm Baumgartner Et Al.(Hrsg.): Handbook Phenomenology and Cognitive Science. Dettelbach: Josef H. Roell, 1996, 392 Pp. [REVIEW]S. Rinofner-Kreidl - forthcoming - Grazer Philosophische Studien.
Von Brentano zu Külpe. die Deskriptive Psychologie Brentanos und die "Würzburger Schule" der Denkpsychologie.E. Baumgartner & W. Baumgartner - 1998 - Brentano Studien 7:31-52.
Chains and Antichains in P(Ω).James E. Baumgartner - 1980 - Journal of Symbolic Logic 45 (1):85-92.