Models and Ultraproducts: An Introduction

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Journal of Symbolic Logic 37 (4):763-764 (1972)
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10.2307/2272449

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J. L. Bell and A. B. Slomson. Models and ultraproducts: An introduction. North-Holland Publishing Company, Amsterdam and London1969, IX + 322 pp. [REVIEW]Perry Smith - 1972 - Journal of Symbolic Logic 37 (4):763-764.
Bell J. L.. Boolean-valued models and independence proofs in set theory. Oxford logic guides. Clarendon Press, Oxford 1977, xviii + 126 pp. [REVIEW]Thomas Jech - 1981 - Journal of Symbolic Logic 46 (1):165-165.
Bell J. L.. Toposes and local set theories. An introduction. Oxford logic guides, no. 14. Clarendon Press, Oxford University Press, Oxford and New York 1988, xii + 267 pp. [REVIEW]G. C. Wraith - 1990 - Journal of Symbolic Logic 55 (2):886-887.
Ultraproducts in the Theory of Models.Simon Kochen - 1962 - Journal of Symbolic Logic 27 (3):355-357.
Ultraproducts and Saturated Models.H. Jerome Keisler - 1970 - Journal of Symbolic Logic 35 (4):584-585.
Applications of Ultraproducts of Pairs of Cardinals to the Theory of Models.C. C. Chang & H. Jerome Keisler - 1971 - Journal of Symbolic Logic 36 (2):338-339.
Bell J. L. and Machover M.. A course in mathematical logic. North-Holland Publishing Company, Amsterdam, New York, and Oxford, 1977, xix + 599 pp. [REVIEW]Perry Smith - 1980 - Journal of Symbolic Logic 45 (2):378-379.
Bell J. L.. Boolean-valued models and independence proofs in set theory. Second edition of XLVI 165. Oxford logic guides, no. 12. Clarendon Press, Oxford University Press, Oxford and New York 1985, xx + 165 pp.Scott Dana. Foreword. A revised reprint of XLVI 165. Therein, pp. vii–xiii. [REVIEW]James E. Baumgartner - 1986 - Journal of Symbolic Logic 51 (4):1076-1077.
Kochen Simon. Ultraproducts in the theory of models. Annals of mathematics, ser. 2 vol. 74 no. 2 , pp. 221–261.C. C. Chang - 1962 - Journal of Symbolic Logic 27 (3):355-357.

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Author Profiles

Alan Slomson
University of Leeds
John L. Bell
University of Western Ontario

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Understanding (with) Toy Models.Alexander Reutlinger, Dominik Hangleiter & Stephan Hartmann - 2018 - British Journal for the Philosophy of Science 69 (4):1069-1099.
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What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
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