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References
Chang, C. C., this volume.
Frayne, T., Morel, A. and Scott, D., Reduced direct products, Fund. Math., 51 (1962), 195–248.
Fuhrken, G., Languages with the added quantifier “there exist at least ℵα” TM, 121–131.
Henkin, L., Some remarks on infinitely long formulas, Infinitistic methods, Warsaw 1961, 167–183.
Keisler, H. J., Finite approximations of infinitely long formulas, TM, 158–170.
-, Some applications of infinitely long formulas, J. Symb. Logic, 30 (1965), 339–349.
-, On cardinalities of ultraproducts, Bull. Amer. Math. Soc., 70 (1964), 644–647.
-, Ultraproducts and saturated models, Indag. Math., 26 (1964), 178–186.
-, Ultraproducts which are not saturated, J. Symb. Logic, 32 (1967), 23–46.
Keisler, H. J., Infinite quantifiers and continuous games, symposium on applications of model theory held at Cal. Inst. of Tech., 1967. To appear.
Lopez-Escobar, E., On defining well-orderings, Fund. Math., 59 (1966), 13–21.
Malitz, J., Problems in the model theory of infinite languages. Doctoral dissertation, Univ. of Cal., Berkeley, 1966.
Morley, M. and Vaught, R., Homogeneous universal models, Math. Scand., 11 (1962), 37–57.
Scott, D., Logic with denumerably long formulas and finite strings of quantifiers, TM, 329–341.
Takeuti, G., this volume.
Keisler, H. J. and Morley, M., On the number of homogeneous models of a given power, Israel. J. Math., 5 (1967), 73–78.
Feferman, S. and Vaught, R., First order properties of products of algebraic systems, Fund. Math., 47 (1959), 57–103.
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Keisler, H.J. (1968). Formulas with linearly ordered quantifiers. In: Barwise, J. (eds) The Syntax and Semantics of Infinitary Languages. Lecture Notes in Mathematics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079685
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DOI: https://doi.org/10.1007/BFb0079685
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