Abstract
In these lectures we survey several fundamental methods of constructing models. We examine which logics admit which constructions, and illustrate their use with examples. The lectures begin with methods available only in classical first order logic and proceed to methods available in the infinitary logics \(\mathcal{L}_{\omega _i \omega } \) and L ∝ ω. We shall focus on three recent developments which have become more prominent in model theory since the publication of the book Chang and Keisler 7 . They are recursively saturated models (Lectures 2 and 3), model theoretic forcing (Lectures 5 and 6), and soft model theory (Lectures 4 and 8).
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Keisler, H.J. (2010). Constructions in Model Theory. In: Mangani, P. (eds) Model Theory and Applications. C.I.M.E. Summer Schools, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11121-1_2
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