Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Löwenheim-Skolem and interpolation theorems in infinitary languages
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by David W. Kueker PDF
Bull. Amer. Math. Soc. 78 (1972), 211-215
References
    1. C. C. Chang, "Some remarks on the model theory of infinitary languages, " in The syntax and semantics of infinitary languages, Springer-Verlag, Berlin and New York, 1968, pp. 36-63. 2. H. J. Keisler, "Formulas with linearly ordered quantifiers, " in The syntax and semantics of infinitary languages, Springer-Verlag, Berlin and New York, 1968, pp. 96-130.
  • Lars Svenonius, On the denumerable models of theories with extra predicates, Theory of Models (Proc. 1963 Internat. Sympos. Berkeley), North-Holland, Amsterdam, 1965, pp. 376–389. MR 0209138
  • Gaisi Takeuti, The $\Pi _{1}{}^{1}$-comprehension schema and $\omega$-rules, Proceedings of the Summer School in Logic (Leeds, 1967) Springer, Berlin, 1968, pp. 303–331. MR 0253874
  • A. Tarski, Remarks on predicate logic with infinitely long expressions, Colloq. Math. 6 (1958), 171–176. MR 99915, DOI 10.4064/cm-6-1-171-176
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 78 (1972), 211-215
  • MSC (1970): Primary 02H10, 02B20, 02B25
  • DOI: https://doi.org/10.1090/S0002-9904-1972-12921-5
  • MathSciNet review: 0290942