Metaphoric and metonymic signification in mathematics

This paper explores the roles of metaphor and metonymy in making sense of the ambiguities inherent in representation of mathematical constructs. Using the metaphors of “chains of signification” and “descent into meaning” for metonymies and metaphors respectively, these literary figures are discussed with regard to their use in mathematics. Synonymy, homonymy and polysemy are viewed as explanatory constructs in an analysis of ways in which metaphor and metonymy aid learners and mathematicians alike in making sense of mathematical ideas and resolving ambiguities.