The Evolution of Mathematics

A Rhetorical Approach

G. Mitchell Reyes (Lewis and Clark College)

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English

Pennsylvania State University Press
28 November 2023

Communication studies; Ethical issues: scientific & technological developments; Mathematics; Philosophy of mathematics

Series: RSA Series in Transdisciplinary Rhetoric

There is a growing awareness among researchers in the humanities and social sciences of the rhetorical force of mathematical discourse—whether in regard to gerrymandering, facial recognition technologies, or racial biases in algorithmic automation. This book proposes a novel way to engage with and understand mathematics via a theoretical framework that highlights how math transforms the social-material world.

In this study, G. Mitchell Reyes applies contemporary rhetorical analysis to mathematical discourse, calling into question the commonly held view that math equals truth. Examining mathematics in historical context, Reyes traces its development from Plato’s teaching about abstract numbers to Euclidian geometry and the emergence of calculus and infinitesimals, imaginary numbers, and algorithms. This history reveals that mathematical innovation has always relied on rhetorical practices of making meaning, such as analogy, metaphor, and invention. Far from expressing truth hidden deep in reality, mathematics is dynamic and evolving, shaping reality and our experience of it.

By bringing mathematics back down to the material-social world, Reyes makes it possible for scholars of the rhetoric and sociology of science, technology, and math to collaborate with mathematicians themselves in order to better understand our material world and public culture.

By: G. Mitchell Reyes (Lewis and Clark College)
Imprint: Pennsylvania State University Press
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm, Spine: 14mm
Weight: 313g
ISBN: 9780271094021
ISBN 10: 0271094028
Series: RSA Series in Transdisciplinary Rhetoric
Pages: 202
Publication Date: 28 November 2023
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

G. Mitchell Reyes is Professor of Rhetoric and Media Studies at Lewis and Clark College. He is coeditor of Global Memoryscapes: Contesting Remembrance in a Transnational Age and Arguing with Numbers: The Intersections of Rhetoric and Mathematics, the latter also published by Penn State University Press.

Reviews for The Evolution of Mathematics: A Rhetorical Approach

“Offering a translative resource for the chaos of that bonding and severing, strengthening and weakening, weaving and unraveling, The Evolution of Mathematics leaves no doubt that both dire consequences and dynamic possibilities are at stake in rhetoric’s ongoing confrontation and engagement with the mathematical realities of the world.” —Crystal Broch Colombini, The Quarterly Journal of Speech “Certainly, one of the most incisive books published in 2022.” —Cliff Cunningham, Sun News Austin “Reyes’s knowledge of and engagement with mathematics are breathtaking in scope. The Evolution of Mathematics is rhetorically engaging as it winds its way through the rabbit hole of mathematical philosophy, history, and technological innovation. Mathematicians will learn about the stakes of their invention and translation practices while rhetoricians will find yet another plane within which rhetoric functions and can be engaged and assessed.” —Catherine Chaput, author of Inside the Teaching Machine: Rhetoric and the Globalization of the U.S. Public Research University