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Ideas for 'Mathematical Methods in Philosophy', 'Knowledge' and 'Model Theory'

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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]