Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K.J. Barwise, M. Kaufmann, M. Makkai, Stationary logic, Ann Math Logic 13 (1978) 171–224.
J. Baumgartner, Ineffability properties of cardinals. I, in: Infinite and Finite Sets, Vol. 1 (North-Holland, Amsterdam, 1975) 109–130.
C.C. Chang, H.J. Keisler, Model Theory (North-Holand, Amsterdam, 1973).
T. Jech, The Axiom of Choice (North-Holland, Amsterdam, 1973).
T. Jech, Some combinatorial problems concerning uncountable cardinals, Ann Math Logic 5 (1973) 165–224.
T. Jech and W. Powell, Standard models of set theory with predication, Bull Amer Math Soc 77 (1971) 808–813.
Y. Kakuda, Set theory based on the language with the additional quantifier “for almost all” I, Math Sem Notes, Kobe University 8 (1980) 603–609.
Y. Kakuda, Set theory extracted from Cantor's theological ontology, To appear in Ann Jap Ass Phil Sci (1989).
S. Kamo, Unpublished Notes, (1981).
M. Kaufmann, Set theory with a filter quantifier, J Symb Logic 48 (1983) 263–287.
M. Kaufmann and S. Shelah, A nonconservative result on global choice, Ann Pure Appl Logic 27 (1984) 209–214.
H. J. Keisler, Logic with the quantifier “there exists uncountably many”, Ann Math Logic 1 (1970) 1–93.
E. M. Kleinberg, A combinatorial characterization of normal M-ultrafilters, Adv Math 30 (1978) 77–84.
K. Kunen, Some applications of iterated ultrapowers in set theory, Ann Math Logic 1 (1970) 179–227.
A Levy, Axiom schemata of strong infinity in axiomatic set theory, Pacific J Math 10 (1960) 223–238.
A. Levy, A hierarchy of formulas in set theory, Mem Amer Math Soc 57 (1965).
R. Montague and R.L. Vaught, Natural models of set theory, Fund Math 47 (1959) 219–242.
J. Schmerl, On κ-like structures which embedded stationary and closed unbounded subsets, Ann Math Logic 10 (1976) 289–314.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Kakuda, Y. (1989). The role of a filter quantifier in set theory. In: Shinoda, J., Tugué, T., Slaman, T.A. (eds) Mathematical Logic and Applications. Lecture Notes in Mathematics, vol 1388. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083665
Download citation
DOI: https://doi.org/10.1007/BFb0083665
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51527-2
Online ISBN: 978-3-540-48220-8
eBook Packages: Springer Book Archive