New Books in Mathematics

As the US contends with issues of populism and de-democratization, this timely study considers the impacts of digital technologies on the country’s politics and society.

In Algorithms and the End of Politics: How Technology Shapes 21st-Century American Life (Bristol University Press, 2021), Dr. Scott Timcke provides a Marxist analysis of the rise of digital media, social networks and technology giants like Amazon, Apple, Facebook and Microsoft. He looks at the impact of these new platforms and technologies on their users who have made them among the most valuable firms in the world.

Offering bold new thinking across data politics and digital and economic sociology, this is a powerful demonstration of how algorithms have come to shape everyday life and political legitimacy in the US and beyond.

Michael O. Johnston, Ph.D. is an Assistant Professor of Sociology at William Penn University. His most recent research, “The Queen and Her Royal Court: A Content Analysis of Doing Gender at a Tulip Queen Pageant,” was published in Gender Issues Journal. He researches culture, social identity, placemaking, and media representations of social life at festivals and celebrations. He is currently working on a book titled Community Media Representations of Place and Identity at Tug Fest: Reconstructing the Mississippi River. You can learn more about Dr. Johnston on his website, Google Scholar, on Twitter @ProfessorJohnst, or by email at [email protected].

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Nick Enfield’s book, Language vs. Reality: Why Language is Good for Lawyers and Bad for Scientists (MIT Press, 2022), argues that language is primarily for social coordination, not precisely transferring thoughts from one person to another. Drawing on empirical research, Enfield shows that human lexicons the world over are far more coarse-grained than our perceptual faculties. Yet, at the same time, languages vary in the structure and sophistication of their representations. This means that, for instance, how different languages carve up the world influences not only how their speakers talk about the world, but also how they think about it. The book explores a range of linguistic phenomena, from lexical diversity to linguistic framing to the effects of narrative. As a result of understanding how language shapes our understanding of reality, Enfield argues that we can make more informed—and more ethical—decisions about our own language use, as individuals and communities.

Malcolm Keating is Assistant Professor of Philosophy at Yale-NUS College. His research focuses on Sanskrit philosophy of language and epistemology. He is the author of Language, Meaning, and Use in Indian Philosophy (Bloomsbury Press, 2019) and host of the podcast Sutras (and stuff).

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What happens when artificial intelligence saturates political life and depletes the planet? How is AI shaping our understanding of ourselves and our societies? In The Atlas of AI: Power, Politics, and the Planetary Costs of Artificial Intelligence (Yale University Press, 2021), Kate Crawford reveals how this planetary network is fuelling a shift toward undemocratic governance and increased racial, gender, and economic inequality. Drawing on more than a decade of research, award‑winning science, and technology, Crawford reveals how AI is a technology of extraction: from the energy and minerals needed to build and sustain its infrastructure, to the exploited workers behind “automated” services, to the data AI collects from us.

Rather than taking a narrow focus on code and algorithms, Crawford offers us a political and a material perspective on what it takes to make artificial intelligence and where it goes wrong. While technical systems present a veneer of objectivity, they are always systems of power. This is an urgent account of what is at stake as technology companies use artificial intelligence to reshape the world.

Matthew Jordan is a university instructor, funk musician, and clear writing enthusiast. He studies the history of science and technology, driven by the belief that we must understand the past in order to improve the future.

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Listen to this interview of Stephen Heard, Professor of Biology at the University of New Brunswick. We talk about his book The Scientist’s Guide to Writing: How to Write More Easily and Effectively Throughout Your Scientific Career, 2nd ed. (Princeton UP, 2022), we talk about writing when it's a verb, we talk about writing when it's a choice, and we talk about writing when it's the science.

Stephen Heard : "Especially for early-career scientists there's a risk of their writing entering into a positive feedback loop with the writing as it is in the literature. And really, we do this to them, we professors and instructors. We say, 'Next week, you're going to hand in a lab report. Write out this experiment you did,' and we say, quote, 'and write like the scientific literature,' unquote. Well, that's a horrible thing to tell anyone to do, because unfortunately, much of our literature isn't particularly well written. We love our acronyms, we love really long noun phrases, we love the passive voice, and so on. And so, people who don't make conscious choices and just sort of model what they're writing on what's already out there — I think they sort of get locked into some of those bad decisions, like the five-noun noun phrase. So being aware of what you're doing, thinking about the language you're using, and being willing to use the language to its fullest — that's not an invitation to write your own Finnegans Wake — but it is an invitation to think carefully about the way of constructing your point that will resonate best with the reader."

Readers may be interested in Heard's webpage for the book. 

Watch Daniel edit your science here. Contact Daniel at [email protected].

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The Constitution of Algorithms: Ground-Truthing, Programming, Formulating (MIT Press, 2021) is a laboratory study that investigates how algorithms come into existence. Algorithms--often associated with the terms big data, machine learning, or artificial intelligence--underlie the technologies we use every day, and disputes over the consequences, actual or potential, of new algorithms arise regularly. In this book, Florian Jaton offers a new way to study computerized methods, providing an account of where algorithms come from and how they are constituted, investigating the practical activities by which algorithms are progressively assembled rather than what they may suggest or require once they are assembled.

Florian Jaton is a Postdoctoral Researcher at the STS Lab, a research unit of the Institute of Social Sciences of the University of Lausanne, Switzerland. Florian studied Philosophy, Mathematics, Literature, and Political Sciences before receiving his PhD in Social Sciences at the University of Lausanne. He also worked at the Donald Bren School of Information and Computer Science at the University of California Irvine and at the Centre de Sociologie de l'Innovation at the École des Mines de Paris. His research interests are the sociology of algorithms, the philosophy of mathematics, and the history of computing. 

Austin Clyde is a Ph.D. candidate at the University of Chicago Department of Computer Science. He researches artificial intelligence and high-performance computing for developing new scientific methods. He is also a visiting research fellow at the Harvard Kennedy School's Science, Technology, and Society program, where my research addresses the intersection of artificial intelligence, human rights, and democracy.

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Police use of advanced data collection and analysis technologies—or, "big data policing"—continues to receive both positive and negative attention through media, activism, and politics. While some high-profile cases illustrate its potential to hasten investigations or even solve previously unsolved crimes, and others showcase risks to individual liberties and vulnerable communities, we know surprisingly little about how and why police departments actually adopt and deploy these tools.

Sarah Brayne's new book, Predict and Surveil: Data, Discretion, and the Future of Policing (Oxford UP, 2021) provides the first in-depth study of these questions. Dr. Brayne recorded observations and interviews over a 5-year period of ethnographic fieldwork and follow-up with the LAPD. In the book, she examines the roles of extra- and intra-departmental factors in the uptake of big data tools, their relationship to the practice and culture of policing, and the impacts and reactions they've precipitated among captains, sworn officers, civilian analysts, and policed communities.

A major theme of the book is the role of discretion: While data-driven decision-making tools may promise to replace biased human judgment, in practice they can instead displace human judgment—to earlier and less visible steps in the process, exacerbating the problem they are invoked to solve. Conversely, i was also interested in how Dr. Brayne suggests we shift our perspectives on these tools: She proposes to think of a "big data environment" that shapes our social behavior, and she flips the analogy of data as capital to describe a "cumulative disadvantage" that accrues to those with less access to and control over the data collected on them.

Dr. Brayne's study has legal and scholarly as well as policy implications, and it will be of interest to anyone interested in the societal role of data or in that of police. I hope that it becomes part of the foundation for urgently needed future work at their intersection.

Suggested companion work: Ballad of the Bullet by Forrest Stuart (listen to Stuart's interview with Sarah E. Patterson here)

Sarah Brayne is an Assistant Professor of Sociology at The University of Texas at Austin. Prior to joining the faculty at UT-Austin, she was a Postdoctoral Researcher at Microsoft Research. Dr. Brayne is the founder and director of the Texas Prison Education Initiative, a group of faculty and students who volunteer to teach college classes in prisons throughout Texas.

Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data.

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For fans of computers and comedy alike, an accessible and entertaining look into how we can use artificial intelligence to make smart machines funny.

Most robots and smart devices are not known for their joke-telling abilities. And yet, as computer scientist Tony Veale explains in Your Wit Is My Command (MIT Press, 2021), machines are not inherently unfunny; they are just programmed that way. By examining the mechanisms of humor and jokes—how jokes actually works—Veale shows that computers can be built with a sense of humor, capable not only of producing a joke but also of appreciating one. Along the way, he explores the humor-generating capacities of fictional robots ranging from B-9 in Lost in Space to TARS in Interstellar, maps out possible scenarios for developing witty robots, and investigates such aspects of humor as puns, sarcasm, and offensiveness.

In order for robots to be funny, Veale explains, we need to analyze humor computationally. Using artificial intelligence (AI), Veale shows that joke generation is a knowledge-based process—a sense of humor is blend of wit and wisdom. He notes that existing technologies can detect sarcasm in conversation, and explains how some jokes can be pre-scripted while others are generated algorithmically—all while making the technical aspects of AI accessible for the general reader. Of course, there's no single algorithm or technology that we can plug in to make our virtual assistants or GPS voice navigation funny, but Veale provides a computational roadmap for how we might get there.

Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland.

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There is a logical flaw in the statistical methods used across experimental science. This fault is not a minor academic quibble: it underlies a reproducibility crisis now threatening entire disciplines. In an increasingly statistics-reliant society, this same deeply rooted error shapes decisions in medicine, law, and public policy with profound consequences. The foundation of the problem is a misunderstanding of probability and its role in making inferences from observations.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the seventeenth-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it. He highlights how influential nineteenth- and twentieth-century figures developed a statistical methodology they claimed was purely objective in order to silence critics of their political agendas, including eugenics.

Clayton provides a clear account of the mathematics and logic of probability, conveying complex concepts accessibly for readers interested in the statistical methods that frame our understanding of the world. He contends that we need to take a Bayesian approach--that is, to incorporate prior knowledge when reasoning with incomplete information--in order to resolve the crisis. Ranging across math, philosophy, and culture, Bernoulli's Fallacy: Statistical Illogic and the Crisis of Modern Science (Columbia UP, 2021) explains why something has gone wrong with how we use data--and how to fix it.

Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland.

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Students' success in mathematics at community colleges has been the subject of thorough quantitative research, which has reported poor overall results and described a range of explanations for them. Even as policies, course formats, and the composition of the student population have changed, success rates have remained dishearteningly low. The challenges confronted by community college students in developmental and higher-level math classes are historical, financial, social, and personal. Brian Cafarella's new book, which examines these challenges through the perspectives of the students themselves, is a welcome contribution to the topic.

Breaking Barriers: Student Success in Community College Mathematics (CRC Press, 2021) is a qualitative study of the barriers faced, and the paths blazed through them, by more than 20 community college students who required developmental math at the starts of their programs and successfully completed college-level courses. From his interviews and exchanges with these students, Dr. Cafarella synthesizes several key themes, from the demoralizing impact of high school experiences to the urgent effects of family and work pressures, and indeed students' own attitudes, behaviors, and lifestyles. I was especially struck by the students' diverse responses to the diverse class modalities their colleges offered, and by the extent of personal support these institutions mustered to see the students through bleak periods.

The book concludes with several core lessons distilled from the study, most of which came through in some form during our discussion but provide an excellent point of reference for decision-makers—including present and prospective students. I hope that teachers, administrators, and especially policymakers will also be able to put these lessons to good use, and that they will help drive a continuing effort to understand and chart pathways through the barriers students face.

Suggested companion works: journal articles on community college mathematics by

Brian Cafarella is a mathematics professor at Sinclair Community College in Dayton, Ohio. He has taught a variety of courses ranging from developmental math through pre-calculus, and he has published articles in several peer-reviewed journals on implementing best practices in developmental math and various math pathways for community college students. Brian is a past recipient of the Roueche Award for teaching excellence, the Ohio Magazine Award for excellence in education, and the Article of the Year Award from the Journal of Developmental Education.

Cory Brunson is an Assistant Professor at the Laboratory for Systems Medicine at the University of Florida. His research focuses on geometric and topological approaches to the analysis of medical and healthcare data.

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Today I talked to Helga Nowotny about her new book In AI We Trust: Power, Illusion and Control of Predictive Algorithms (Polity, 2021).

One of the most persistent concerns about the future is whether it will be dominated by the predictive algorithms of AI - and, if so, what this will mean for our behaviour, for our institutions and for what it means to be human. AI changes our experience of time and the future and challenges our identities, yet we are blinded by its efficiency and fail to understand how it affects us.

At the heart of our trust in AI lies a paradox: we leverage AI to increase our control over the future and uncertainty, while at the same time the performativity of AI, the power it has to make us act in the ways it predicts, reduces our agency over the future. This happens when we forget that that we humans have created the digital technologies to which we attribute agency. These developments also challenge the narrative of progress, which played such a central role in modernity and is based on the hubris of total control. We are now moving into an era where this control is limited as AI monitors our actions, posing the threat of surveillance, but also offering the opportunity to reappropriate control and transform it into care.

As we try to adjust to a world in which algorithms, robots and avatars play an ever-increasing role, we need to understand better the limitations of AI and how their predictions affect our agency, while at the same time having the courage to embrace the uncertainty of the future.

Galina Limorenko is a doctoral candidate in Neuroscience with a focus on biochemistry and molecular biology of neurodegenerative diseases at EPFL in Switzerland. To discuss and propose the book for an interview you can reach her at [email protected].

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