Non-Translational Semantics (I)
R. M. Martin · 2015
This chapter talks about a semantical meta-language which speaks exclusively of the expressions of the object-language and not of its objects, because the relata of the comprehension and subsumption relations are exclusively expressions. In taking such a purely linguistic relation as a primitive people avoid the necessity of augmenting the meta-language by incorporating the object-language within it. The attendant gain in economy and simplicity is of course enormous. The chapter discusses the primitive framework of a semantical meta-language based on comprehension and some preliminary definitions . The various meta-languages are shown to provide a minimal foundation for semantics in an appropriate sense. The chapter also discusses the semantical truth-concept in several alternative ways, rules providing one formulation of non-translational semantics and some alternative formulations . It also talks about three general rules of comprehension: logical rules, syntactical rules, and semantical rules.