Model Theory (with Stephen Isard)
Model Theory (with Stephen Isard)
This chapter describes a model theory based on a standard statically scoped model theory for first-order logic and generalizes it to the case of relations whose arguments name propositions. It first discusses the nonstandard features of the model theory, with an emphasis on semantics and syntax, before turning to Skolem terms and negation, Maximal Participant Condition, and natural logic. The chapter also presents some examples in which all polarities are nonnegative and can be suppressed, and shows that conjunction, conditionals, and disjunction are all “filters on presuppositions.”
Keywords: model theory, first-order logic, semantics, syntax, Skolem terms, negation, polarities, conjunction, conditionals, disjunction
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