The Story of Proof: Logic and the History of Mathematics (Princeton UP, 2022) investigates the evolution of the concept of proof--one of the most significant and defining features of mathematical thought--through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell be...
Oct 31, 2022•58 min•Ep. 78
We’ve all heard that a picture is worth a thousand words, but what if we don’t understand what we’re looking at? Social media has made charts, infographics, and diagrams ubiquitous―and easier to share than ever. We associate charts with science and reason; the flashy visuals are both appealing and persuasive. Pie charts, maps, bar and line graphs, and scatter plots (to name a few) can better inform us, revealing patterns and trends hidden behind the numbers we encounter in our lives. In short, g...
Sep 23, 2022•58 min•Ep. 42
In The New Era in American Mathematics, 1920-1950 (Princeton University Press, 2022) Karen Parshall explores the institutional, financial, social, and political forces that shaped and supported the American Mathematics community in the first half of the twentieth century. Drawing from extensive archival and primary-source research, Professor Parshall uncovers the key players in American mathematics who worked together to effect change. She highlights the educational, professional, philanthropic,...
Sep 12, 2022•1 hr 10 min•Ep. 77
Peter Winkler has been collecting mathematical puzzles since childhood. He has had published two previous collections, and recently he compiled his largest curated collection to date. Mathematical Puzzles (A K Peters, 2021) also takes an alluring new approach to the genre: In the Roman-numbered front matter, 300+ puzzles are presented, roughly in order of increasing difficulty. Fuller discussions of the puzzles are then organized into 24 chapters according to the key insight that leads to their ...
Aug 23, 2022•1 hr 11 min•Ep. 75
In Community College Mathematics: Past, Present, and Future (CRC Press, 2022), Brian Cafarella addresses the key questions: How can we build a future model for community college gatekeeper math classes that is both successful and sustainable? Additionally, how can we learn from the past and the present to build such a model? From the 1970’s to the pandemic in the early 2020’s, the book uses interviews with 30 community college faculty members from seven community colleges to explore math curricu...
Aug 23, 2022•1 hr 7 min•Ep. 77
Today I had the pleasure of talking to Joe Mileti, associate professor of mathematics at Grinnell College. Even if you are not "into" math, you will enjoy this conversation. We talked about how math is not what you think it is. It's not just memorizing formulas and grinding. It's about thinking and, like all thinking, it involves abstraction, logic, using analogies and metaphors, and a bunch of imagination. We also talked about how math is about talking to other mathematicians and doing a kind o...
Aug 15, 2022•48 min•Ep. 18
In Probability and Forensic Evidence: Theory, Philosophy, and Applications (Cambridge UP, 2021), Ronald Meester and Klaas Slooten address the role of statistics and probability in the evaluation of forensic evidence, including both theoretical issues and applications in legal contexts. It discusses what evidence is and how it can be quantified, how it should be understood, and how it is applied (and, sometimes misapplied). Ronald Meester is Professor in probability theory at the Vrije Universite...
Aug 09, 2022•1 hr 3 min•Ep. 74
In Formulations: Architecture, Mathematics, Culture (MIT Press, 2022), Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics. The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design. Witt offers a catalog of mid-twentieth-century practices of mat...
Jul 08, 2022•19 min•Ep. 74
Formal mathematical models have provided tremendous insights into politics in recent decades. Formal Models of Domestic Politics (Cambridge UP, 2021) is the leading graduate textbook covering the crucial models that underpin current theoretical and empirical research on politics by both economists and political scientists. This textbook was recently updated to reflect the wealth of new theory-building around the functioning of authoritarian regimes, as well as to include recent developments in t...
Jun 30, 2022•51 min•Ep. 108
Today I talked to Seth Stephens-Davidowitz about his new book Don't Trust Your Gut: Using Data to Get What You Really Want in LIfe (Dey Street Books, 2022) Looking for advice on how to get a date, how to have a successful marriage, or just how to have a happier life? Don’t trust your gut, don’t trust conventional wisdom, and put down that self-help book full of plausible arguments and compelling anecdotes that just happens to contradict the advice you got from the self-help book you. Instead, le...
Jun 22, 2022•1 hr•Ep. 107
Plan S: the open access initiative that changed the face of global research. Robert-Jan Smits and Rachael Pells's book Plan S for Shock: Science. Shock. Solution. Speed. (Ubiquity Press, 2022) tells the story of open access publishing - why it matters now, and for the future. In a world where information has never been so accessible, and answers are available at the touch of a fingertip, we are hungrier for the facts than ever before - something the Covid-19 crisis has brought to light. And yet,...
Jun 21, 2022•1 hr 2 min•Ep. 123
What is mathematical music? In Mathematical Music from Antiquity to AI (Routledge, 2022), musicologist Nikita Braguinski discusses how mathematics has historically been used to make music, how it continues to influence musical composition, and the ways in which it may influence music in the future, including through artificial intelligence (AI). From pre-historic sounds to Gregorian chant to jazz to rock and beyond, from Mozart to M.C. Hammer, from the definition of an interval to time signature...
Jun 09, 2022•1 hr 6 min•Ep. 151
Games are an established aide in pre-college mathematics education. Meanwhile, innumerable popular books have investigated the mathematics of games. In a new edited volume for the AMS/MAA Classroom Resource Materials Series, topologist and NSF educational program director Mindy Capaldi and contributors join advanced topics with innovative lesson designs in possibly the first book of game-based mathematics education for college curricula. Teaching Mathematics Through Games (MAA Press, 2020) compr...
May 10, 2022•51 min•Ep. 73
Listen to this interview of Dashun Wang, Professor at the Kellogg School of Management and McCormick School of Engineering at Northwestern University, and also with Albert-László Barabási, Robert Gray Dodge Professor of Network Science and Distinguished University Professor at Northeastern University. We talk about their new book The Science of Science" (Cambridge UP, 2021) and science, squared. Albert-László Barabási : "There is, of course, the need that you grow professionally. If you're a mat...
Apr 13, 2022•1 hr 1 min•Ep. 57
Listen to this interview of Hilary Glasman-Deal, teacher of STEMM communication at the Centre for Academic English, Imperial College London, and author ofScience Research Writing For Native and Non-Native Speakers of English (World Scientific Publishing Europe, 2020). We talk about researching, reading, and writing. Hilary Glasman-Deal : "One of the things I'm very often saying, particularly with early-career researchers, is this: 'Look, your reading is clearly effective, because you understand ...
Mar 31, 2022•1 hr 7 min•Ep. 53
In A New History of Modern Computing (MIT Press, 2021), Thomas Haigh and Paul Ceruzzi trace changes leading to the computer becoming a ubiquitous technology. Over the past fifty years, the computer has been transformed from a hulking scientific super tool and data processing workhorse, remote from the experiences of ordinary people to a diverse family of devices that billions rely on to play games, shop, stream music, and movies, communicate, and count their steps. A comprehensive reimagining of...
Mar 30, 2022•49 min•Ep. 311
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 t...
Mar 28, 2022•56 min•Ep. 217
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...
Mar 23, 2022•1 hr 9 min•Ep. 105
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, ...
Mar 21, 2022•57 min•Ep. 309
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 po...
Mar 21, 2022•1 hr 17 min•Ep. 52
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...
Mar 16, 2022•51 min•Ep. 308
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 Bray...
Mar 04, 2022•55 min•Ep. 153
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 b...
Feb 16, 2022•1 hr 6 min•Ep. 304
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 trac...
Feb 10, 2022•1 hr 9 min•Ep. 72
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 ...
Feb 01, 2022•1 hr 8 min•Ep. 71
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 unders...
Jan 20, 2022•48 min•Ep. 54
A true understanding of the pervasive role of software in the world demands an awareness of the volume and variety of real-world software failures and their consequences. No more thorough survey of these events may be available than Thomas Huckle and Tobias Neckel's Bits and Bugs: A Scientific and Historical Review of Software Failures in Computational Science (SIAM, 2019). Their book organizing an extensive collection of episodes into eight chapters that expand on an array of flavors of failure...
Jan 17, 2022•1 hr 4 min•Ep. 70
Why does a clarinet play at lower pitches than a flute? What does it mean for sounds to be in or out of tune? How are emotions carried by music? Do other animals perceive sound like we do? How might a musician use math to come up with new ideas? This book offers a lively exploration of the mathematics, physics, and neuroscience that underlie music in a way that readers without scientific background can follow. David Sulzer, also known in the musical world as Dave Soldier, explains why the percep...
Dec 30, 2021•1 hr 16 min•Ep. 109
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 thro...
Dec 07, 2021•1 hr 8 min•Ep. 69
The Joy of Mathematics is based on an in-depth filmed conversation between Howard Burton and Ian Stewart, Emeritus Professor of Mathematics at the University of Warwick and bestselling science and science fiction writer. For Ian Stewart, mathematics is far more than dreary arithmetic, while mathematical thinking is one of the most important—and overlooked—aspects of contemporary society. This wide-ranging conversation explores what mathematics is and why it’s worth doing, symmetry, networks and ...
Nov 12, 2021•1 hr 26 min•Ep. 90
