Theory of Language Syntax

The present book is concerned with certain problems in the logical philosophy of language .It is written in the spirit of the Polish logical,philosophical,and semiotic tradition,and shows two conceptions of the syntax of categorial languages:the theory of simple languages,i .e ., languages which do not include variables nor the operators that bind them (for instance,large fragments of natural languages, languages of well-known sentential calculi,the language of Aristotle's traditional syllogistic,languages of equationally definable algebras),and the theory of w-languages,i.e ., languages which include operators and variables bound by the latter (for instance,the language of the functional calculus and languages of the theories based on that calculus). The considerations on languages to be found in this book are very general and,e .g .,do not depend on the notation used in the recording of expressions in the languages under consideration.