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Semiotica l 7:2, pp. 131-151. © Mouton Publishers, 1976. VERN S. POYTHRESS TAGMEMIC ANALYSIS OF ELEMENTARY ALGEBRA 1. INTRODUCTION Considerable work has been done in applying mathematical techniques to the analysis of language, especially the more formal languages associated with various types of automata.1 To my knowledge, however, very little has been done in the opposite direction: applying linguistic techniques to the analysis of mathematics as a specialized language occurring in certain textbooks, journal articles, and classroom situations.2 Yet, since mathematical language is simpler than natural language, one might well expect the direction linguistics-applied-to-mathematics to provide results at least as fruitful as and with less labor than the direction mathematics-applied-to-linguistics. This paper attempts a preliminary linguistic analysis of material from elementary algebra, with particular attention (§§3-6) to the types of structure above the clause level, and to the semiotic interlocking of mathematical language with ordinary language (see especially §7). 2. THE CLAUSE LEVEL AND BELOW Consider the solution to a quadratic equation as it might appear in a book on elementary algebra: 1. Problem: Solution: solve 2 + - 12 = 0. x2 + x - 12 = 0 (x - 3) · (x + 4) = 0
Semiotica - Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique – de Gruyter
Published: Jan 1, 1976
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