Abstract
AN interpretation for a scientific system is provided by so-called semantical rules. The system itself consists of certain primitives, together with various syntactical definitions or rules which specify the formulas, the axioms, and the rules of inference. Let us suppose for the present that the system is formulated to contain no primitive individual or functional constants, but only primitive predicate constants, each of specified degree. The semantical rules then lay down an interpretation for the primitive predicates. Thus, for example, if 'Blue' is a primitive, one-place predicate constant, a semantical rule may be laid down to the effect that 'Blue' designates the class of blue objects (or the property of being blue). Semantical rules (for a system such as that described) are concerned 33
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