Intensional logics without interative axioms

@article{Lewis1974IntensionalLW,
  title={Intensional logics without interative axioms},
  author={David Lewis},
  journal={J. Philosophical Logic},
  year={1974},
  volume={3},
  pages={457-466}
}
It may be that there is no way to axiomatize an intensional logic without recourse to one or more iterative axioms; then I call that logic iterative. But many familiar logics can be axiomatized by means of non-iterative axioms alone; these logics I call non-iterative. A frame, roughly speaking, is a partial interpretation for an intensional language. It provides a set 1, all subsets of which are to be regarded as eligible propositional values or truth sets for formulas. It also provides, for… CONTINUE READING

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