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This is IV volume of eight in a series on Philosophy of the Mind and Language. For nearly a century mathematicians and logicians have been striving hard to make logic an exact science. But a book on logic must contain, in addition to the formulae, an expository context which, with the assistance of the words of ordinary language, explains the formulae and the relations between them; and this context often leaves much to be desired in the matter of clarity and exactitude. Originally published in 1937, the purpose of the present work is to give a systematic exposition of such a method, namely, of the method of logical syntax.
Introduction, PART I. THE DEFINITE LANGUAGE I A. Rules of Formation for Language I B. Rules of Transformation for Language I C. Remark s on the Definite Form of Language PART II. THE FORMAL CONSTRUCTION OF THE SYNTAX OF LANGUAGE I PART III. THE IN DEFINITE LANGUAGE II A. Rules of Formation for Language II B. Rules of Transformation for Language II C .Rules of Consequence for Language II, D . Further Development of Language II PART IV. GENERAL SYNTAX, A. Object- Language and Syntax-Language B. The Syntax of any Language PART V. PHILOSOPHY AND SYNTAX A. On the Form of the Sentences Belonging to the Logic of Science B The Logic of Science as a Syntax