• J. Donald Monk
Part of the Graduate Texts in Mathematics book series (GTM, volume 37)


So far in this part we have spoken about satisfaction of sentences and methods for finding models for sets of sentences We now want to consider similar general questions concerning sets of formulas Thus instead of considering global questions, about classes of structures, we shall be considering local questions, about sets of elements, or sets of finite sequences of elements. Generally speaking, we shall be concerned with conditions on a set Δ of formulas for there to exist a structure A and an xωA such thatx∈φA for all φ∈Δ.


Prime Model Complete Theory Compactness Theorem Countable Model Infinite Subset 


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Copyright information

© Springer-Verlag Inc. 1976

Authors and Affiliations

  • J. Donald Monk
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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