x + y A mathematician's manifesto for rethinking gender

Eugenia Cheng

Book - 2020

Cheng think like a mathematician: she sees past the distracting, superficial details of things to find their essences. When she turned that thinking upon gender, she found there wasn't much essence to speak of at all. Cheng explains what she calls ingressive and congressive personalities. Ingressive people are competitive, independent, bold, risk-taking, self-assured, and often have one-track minds. Congressive people focus on society and community, take the needs of others into account, emphasize interconnectedness, and tend to collaborate. As a society, we associate ingressive personalities with men and congressive personalities with women--and it is the source not just of gender inequality, but a great deal of individual unhappiness.... Thinking about the problem like a mathematician makes it clear that most of what we ascribe to gender has nothing to do with gender at all. -- adapted from publisher info

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Subjects
Published
New York : Basic Books 2020.
Language
English
Main Author
Eugenia Cheng (author)
Edition
First US edition
Physical Description
x, 272 pages : illustrations (black and white) ; 22 cm
Bibliography
Includes bibliographical references and index.
ISBN
9781541646506
  • Preface
  • Part I. Gendered Thinking
  • 1. Introduction
  • 2. The Difficulties of Difference
  • 3. The Problem with Leaning In
  • Part II. Ungendered Thinking
  • 4. A New Dimension
  • 5. Structures and Society
  • 6. Leaning Out
  • 7. Dreams for the Future
  • Postscript
  • Appendix
  • Acknowledgments
  • Index
Review by Booklist Review

On yet another adventure in using the logic of math to address social and emotional issues, author Cheng (How to Bake Pi, 2015) takes on gender equality. Using mathematical models that consider ingressive (personal, self-oriented) and congressive (community-oriented, good-of-the-group) traits, Cheng determines definitions, looks for patterns, creates models, and states her ultimate goal as the eradication of gender bias--and this is just in her book's introduction. She spends the next 150 pages lampooning assertions regarding supposed gender-based qualities and gender-determined capabilities that have risen from patriarchal social structures, falsified research, biased interpretation of data, and systemic discrimination. She frames her thinking with relatable examples and anecdotes and proffers a plea for more congressive thinking and action. She cites historic disasters that led to positive outcomes (the Black Death of the Middle Ages made the Renaissance possible; WWII opened doors for women) and wonders if the current pandemic and compliance/non-compliance with public health mandates might be the impetus for lasting social change. She ends with suggestions on how to become more congressive: look for similarities, not differences; seek to support and not advise; create mutually beneficial situations; and practice charity. Her arguments are both passionate and logical.

From Booklist, Copyright (c) American Library Association. Used with permission.
Review by Library Journal Review

Author of The Art of Logic in an Illogical World, Cheng works in both male-tilted mathematics and female-tilted art; she's a pianist and scientist in residence at the School of the Art Institute of Chicago. Here she addresses gender inequality by calling on her field of study, category theory, which focuses on context and ultimately dimensionality; a cube casts a diamond or square shadow, depending on one's perspective. As she argues, we need to bring that same understanding of perspective when we look at women in positions of power and rethink contexts to assure true equality.

(c) Copyright Library Journals LLC, a wholly owned subsidiary of Media Source, Inc. No redistribution permitted.
Review by Kirkus Book Review

Can mathematics break down barriers to entry--in markets, in society--imposed by gender? Mathematician and math popularizer Cheng takes a positive view. "Math isn't just about getting the right answers; it's about dreaming up different worlds in which different things can be true." The author writes inductively of her experiences as a woman in a field dominated by men to arrive at an alternate world in which gender is not a determinant in who fails, who succeeds, who has access, and who does not. A specialist in category theory--a branch of mathematics in which theories and not theorems govern--Cheng proposes that many arguments about supposed gender absolutes can be reframed. For example, she breaks down the logical implications in the syllogism that says that men are better at math than women, because they are better at systematizing--ergo, "being a man implies being better at math." But what if the frame were moved to encourage decomposition of the terms? "Men have been observed to be statistically more likely to be stronger at systemizing than empathizing, for some very specific definitions of these words," a strength that often resolves in ways such that "we might expect more men than women to become mathematicians." The onus is not on numeracy but instead on structures that push people into different endeavors. In a spry--and not number-heavy--text, Cheng suggests that inherent ability is not as important as how math is generally taught: the ponderous lecturer at the front of the class, the mostly bewildered students trying to follow along. She proposes a "congressive," group-oriented solution to problem-solving to replace the "ingressive" model, which presupposes that learning is a sort of Darwinian matter of survival of the fittest. Most truisms about gender difference, she notes, are "because of bias, not biology," and the reframing she suggests makes this bias clear. A carefully developed argument that urges us to discuss character traits without reference to gender. Copyright (c) Kirkus Reviews, used with permission.

Copyright (c) Kirkus Reviews, used with permission.