Edwin Martin Journal Articles
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Item A Note on Frege's Semantics(Philosophical Studies, 1974-08) Martin, Edwin JrThe Fregean theory of syntax says what the meaningful parts of sentences are, and which combinations of those parts are meaningful. The Fregean theory of meaning says how the meaningful parts of a meaningful expression contribute to that expression's sense and reference. The theory of syntax discerns two basic kinds of meaningful parts of sentences: proper names and function-names. Each function-name has a type determined by the number of argument places it has and the type of expression appropriate to each argument place. Every complex proper name is the result of completing a function name with expressions of the appropriate types (and conversely).Item Referentiality in Frege's Grundgesetze(History and Philosophy of Logic, 1982) Martin, Edwin JrIn §§28-31 of his Grundgesetze der Arithmetik, Frege forwards a demonstration that every correctly formed name of his formal language has a reference. Examination of this demonstration, it is here argued, reveals an incompleteness in a procedure of contextual definition. At the heart of this incompleteness is a difference between Frege’s criteria of referentiality and the possession of reference as it is ordinarily conceived. This difference relates to the distinction between objectual and substitutional quantification and Frege’s vacillation between the two.Item Frege's Definition of Numbers(Philosophical Papers, 1987-04) Martin, EdwinIn searching for a theory of number, one of the first and most fundamental decisions (or discoveries) to be made for Frege concerns the logical status of numbers: are they objects or functions? The route to the answer to this question in the Grundlagen is tortuous indeed. It does not immediately emerge that numbers are objects, and given a knowledge of Frege’s later work, one might not think that this view was forthcoming at all. In what follows I want to consider just what objects Frege thinks numbers are, and how and why his early account of this in the Grundlagen differs from his later Grundgesetze formulation.Item Fregean Incompleteness(Philosophia (Philosophical Quarterly of Israel), 1983-10) Martin, Edwin JrThe Fregean theory of syntax says what the meaningful parts of sentences are, and which combinations of those parts are meaningful. The Fregean theory of meaning says how the meaningful parts of a meaningful expression contribute to that expression's sense and reference.Item Frege's Problems with "the Concept of Horse"(Crítica. Revista Hispanoamericana De Filosofía, 1971-09) Martin, Edwin Jr