Abstract
Throughout this book, we shall work inside a big, κ-saturated κ-homogeneous model C of a complete first-order theory T in a language L; we call C the monster model. Every model we consider will have cardinality less than κ and be an elementary substructure of C; every set of parameters will have cardinality less than κ and be a subset of C, and every tuple will have length less than κ and come from C. Since every model of T of cardinality less than κ can be elementarily embedded into C, this is no restriction, but it simplifies the arguments and helps the intuition, as everything takes place inside a fixed “universal domain”.
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© 2000 Springer Science+Business Media Dordrecht
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Wagner, F.O. (2000). Simplicity. In: Simple Theories. Mathematics and Its Applications, vol 503. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3002-0_2
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DOI: https://doi.org/10.1007/978-94-017-3002-0_2
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