The Square Circle of Margaret Cavendish: the 17th-century conceptualization of mind by means of mathematics

The cognitive theory of metaphor (Lakoff and Johnson, 1980; Lakoff, 1987; Lakoff and Turner, 1989) is the basis in this article for investigating the significance of the use of mathematical language, and in particular of the metaphor to square the circle in Margaret Cavendish's poem The Circle of the Brain Cannot be Squared. In the article I begin by introducing Margaret Cavendish as the first 17th-century female poet writing on scientific topics. I then explain how mathematics in the 17th century influenced people's view of reality and the extent to which this is mirrored in poetic language. The theory of cognitive metaphor provides the framework for the elucidation of mathematical concepts used to explain 'unknown' realities like mind and emotions and, in particular, of the central metaphor to square the circle in Cavendish's poem. A brief overview of the criteria of Lakoff and colleagues for analysing metaphors shows that the apparently extravagant metaphor to square the circle was simply a novel poetic extension of the conceptual metaphor UNIVERSE IS MATHEMATICS that, like other types of metaphors considered by cognitive linguists, is grounded in everyday experience. Further, Werth's (1994) remarks about the reasons behind the poet's use of particular concepts to explain others help highlight another important aspect at the basis of the production of novel metaphors, namely that of 'poetic choice'. Finally, I elaborate on Werth's remarks by drawing attention to what I term cultural choice, that is, to the influence that common knowledge and beliefs shared by the members of a linguistic community exert on the poet's choice of metaphors. The analysis of the poem shows that the topic and language of the poem, as well as the subtext, that is, the length of lines and the stanza form, depend on metaphoric projections from the domain MATHEMATICS. Through the conceptual metaphor NATURE IS MATHEMATICS, Cavendish explains man's attempt to take control over irrationalia such as fancy and female nature. The impossibility of squaring the circle is used as a proof to demonstrate that nature and fancy cannot be restricted and, at the same time, to give Cavendish a hope of acceptance in the male-dominated world.