Soundness of a deductive system is the property that any sentence that is provable in that deductive system is also true on all interpretations or structures of the semantic theory for the language upon which that theory is based.
32.
Two implications of the mentalist postulate are : first, that research on the nature of mental representations can serve to constrain or enrich semantic theories; and secondly, that results of semantic theories bear directly on the nature of human conceptualization.
33.
Two implications of the mentalist postulate are : first, that research on the nature of mental representations can serve to constrain or enrich semantic theories; and secondly, that results of semantic theories bear directly on the nature of human conceptualization.
34.
The first principle from semantic theory is the thesaurus type relation between wider and more narrow ( or specific ) concepts, e . g . the wide concept " income " has a relation to the more narrow concept " net income ".
35.
Semantics of this form has not provided a very great challenge to that sketched in Tarski's Semantic theory of truth, but many philosophers interested in reconstituting the semantics of logic in a way that respects Ludwig Wittgenstein's " meaning is use " have felt that harmony holds the key.
36.
As a guideline for constructing semantic theories, this is generally taken, as in the influential work on the philosophy of language by Donald Davidson, to mean that every construct of the syntax should be associated by a clause of the T-schema with an operator in the semantics that specifies how the meaning of the whole expression is built from constituents combined by the syntactic rule.
