We describe a logic which is the same as first-order logic except that it allows control over the information that passes down from formulas to subformulas. For example the logic is adequate to express branching quantifiers. We describe a compositional semantics for this logic; in particular this gives a compositional meaning to formulas of the 'information-friendly' language of Hintikka and Sandu. For first-order formulas the semantics reduces to Tarski's semantics for first-order logic. We prove that two formulas have the same (...) interpretation in all structures if and only if replacing an occurrence of one by an occurrence of the other in a sentence never alters the truth-value of the sentence in any structure. (shrink)

This well-produced volume is the Proceedings of the Twentieth International Colloquium of the Société Internationale pour l'Étude de la Philosophie Médiévale, Freiburg im Breisgau 2014. Sixteen cha...

N. Germann and S. Harvey, editors. The Origin and Nature of Language and Logic: Perspectives in Medieval Islamic, Jewish, and Christian Thought. Turnhout: Brepols, 2020. xiii +422 pp. €71,46, ISBN...