Sentence examples for sentential function from inspiring English sources

Tarski introduces the notion of a sentential function.

Say that an interpretation

For example, the sentential function determined by the sentence "∀x(Nx→¬Mx0)" is the expression "∀x(Px→¬Yxy)" (in which "P", "Y" and "y" are new variables).

The notion of satisfaction of a sentential function is easy to characterize in terms of the defined notion of satisfaction of a formula function.

A sentential function S′ of a sentence S is the result of uniformly replacing the non-logical constants appearing in S with corresponding variables of suitable types (and different from the variables already existing in the language).

A model of a sentence S is an interpretation that satisfies the sentential function S′ determined by S; more generally, a model of a set of sentences K is an interpretation that satisfies all the sentential functions determined by sentences of K.

The sentential functions of sentences of LAr will not in general be sentences, and so will not always be either true or false by themselves.

The universal generalization of sentential functions like these thus produces lawlike sentences, while their instantiation to individual constants or to ambiguous names produces (what are known as) nomological conditionals (Fetzer 1981, 49 54).

Tarski, who did not make Bolzano's assumption with respect to languages, stated his definitive formulation in terms of models, or the satisfaction of sentential functions by sequences of objects.

Belief revision theory has been almost exclusively developed within the framework of classical sentential (truth-functional) logic.

These philosophers prefer to regiment grounding talk with a non-truth-functional sentential connective (Correia 2010; Fine 2001 , 2012.