New Books In Mathematics

One pervasive stereotype about mathematics is that it is objective, unbiased, or otherwise exempt from the influence of human passions. James Wynn and G. Mitchell Reyes's edited collection will be a revelation even to mathematics professionals who don't take this strict view. The essays in Arguing with Numbers: The Intersections of Rhetoric and Mathematics (The Pennsylvania State UP, 2021) explore the interplays between rhetoric and mathematics that have shaped scholarly and popular culture through to the present day. Opening the collection are both an historical sketch of scholarship at the intersection of these disciplines, from their division in ancient Greece to their hesitant reunion since the mid-twentieth century, and also a taxonomy of modern research into three distinct approaches, which we review in our discussion. The remaining essays use these approaches to probe the impact of mathematical rhetoric on the sciences (including Hantaro Nakaoka's analogical "Saturnian" model of atomic spectra), on cul