Here we dive into one of the most timely and important topics in tech: Trustworthy AI. What does it really mean for artificial intelligence to be “trustworthy”? And why should it matter to you? To help us unpack these questions, we’re joined by Farhana Faruqe, a data scientist, researcher, and entrepreneur, specializing in research related to Trustworthy AI, and Dr. Larry Medsker, a leading expert in AI ethics and policy. With experience in neural

Tim Harford looks at some of the numbers in the news. This week:Is it true that interest payments on the UK’s national debt are equivalent to £240 per month for everyone in the country?Reform UK claim that Afghan migrants are 22 times more likely to be convicted of sex offences. Is that number correct?We try to make sense of a claim that one in 10 women are being driven to leave work by their menopause symptoms.And we investigate a claim comparing the speed of a snail and the war in Ukraine.If

This week, we're taking another trip to ancient Alexandria to meet Diophantus, often hailed as the "Father of Algebra." Join us as we untangle the fuzzy biography of a mathematician whose life story is a riddle, and whose monumental work, the Arithmetica, started us working  towards systematic equation-solving. From the proto-symbols of syncopated algebra to the birth of Diophantine equations (where only whole numbers dare to tread!), we explore how this ancient Greek genius sought to generalize

In the third episode of his new series, AfterMath, Edward Frenkel dives into the question of whether computers can ever reach the cognitive capacity of the human mind -- specifically, in the realm of mathematics. While computers excel at number crunching, they struggle with general mathematical statements. Edward introduces the concept of the Turing Wall, a fundamental limit to what computers can do with numbers, named in honor of Alan Turing, the father of modern computing. Frenkel further explores

The provided excerpts offer a comprehensive look at the challenges of building a new socialist society in post-revolutionary Russia, primarily through the lens of Leon Trotsky's writings and related analysis of the 1920s Soviet period. Trotsky’s texts, including excerpts from Problems of Everyday Life, address the necessity of transforming both the material conditions (like improving technology, literacy, and fighting "red tape") and the cultural-moral fabric of the working class, stressing t...

We unpack how raising the rooted-tree generating function B(x) to the fifth power counts linear forests of five rooted trees, and the surprising equivalence with five rooted paths. We'll recap the building blocks—rooted trees, forests, and linear forests (paths) with no branches—and explain why B(x)^5 enumerates the same structures as five-path forests. Then we pose the natural follow-up question for the audience: what does B(x)^2 count? Answer: the number of forests with exactly two componen...

While Western philosophy often prizes individual reason and abstract truth, many non-Western traditions share a profound and unifying goal: the cultivation of a harmonic and humane existence. This pursuit is not about isolating the mind but about integrating the individual into a wider whole—community, cosmos, and the self. In Confucianism, harmony is achieved through ethical relationships and ritual, creating a stable, compassionate society. Daoism seeks alignment with the effortless flow o...

Number of the Day - "358" This podcast is produced by Klassic Studios. Check out our other podcasts there! Learn more about your ad choices. Visit megaphone.fm/adchoices

David A. Noever and Forrest McKee are researchers at PeopleTec, where they work on problems at the intersection of security, defense, and AI/ML. Today David joined us to present their joint work Infecting Generative AI with Viruses. This was a really great presentation that took a rigorous approach to defining the security boundaries and limitations of AI tools, and it fostered one of the better discussions we've hosted in a while. We hope you enjoy it as much as we did!

Send us a text In this episode of The Engineering Passion Express, we have a relaxed chat with Dale Rice, SOLIDWORKS Electrical Applications Engineer at GoEngineer, though despite the name, we weren't having drinks at all, we just didn't have a particular journey in mind when the conversation started. Dale has been supporting engineering companies for decades and has seen a tremendous amount of engineering, and he also is a good friend of mine. This is not a narrative episode, rather i...

These sources collectively present a multifaceted portrait of Dolores Huerta, a pivotal figure in the American labor and civil rights movements, often in conjunction with Cesar Chavez. The texts highlight her formative experiences as an activist, stemming from witnessing injustice and her mother's community work, and emphasize her key role in co-founding the United Farm Workers (UFW). Accounts from Huerta herself and her children illustrate the personal sacrifices and challenges inherent in t...

Santiago and David discuss how aspects of education could be “gamified” in order to improve outcomes. They explore various real-world examples of how games are used to enhance learning, including platforms like Kahoot and innovative projects like SmileyCoin. As well as the benefits, they consider the potential downsides, such as excessive screen time and the impact of dopamine release on student concentration.

Send us a text We’ve all heard about the importance of productive struggle in math—but what does it actually look like in practice? In this episode, I share why Grapple Time is one of the most powerful parts of Word Problem Workshop, how to prepare students to persevere, and the exact four teacher moves you can make while students are solving. Wondering what this looks like day-to-day? I walk you through my four concrete teacher moves during Grapple Time: Scan – Take the first 30 seconds to s...

The sources primarily focus on a unified theory of AI as a "Possibility Expansion Engine," proposing that AI acts as a "co-pilot" to overcome inherent human cognitive limitations in innovation. This concept is demonstrated through two distinct applications: the Speculative Synthesis Engine (SSE), which helps explore novel interdisciplinary ideas, and the Algebraic Structural Engine (ASE), designed to generate optimal physical forms. Both systems share a three-stage architecture of interpretat...

The sources collectively outline an innovative educational model centered on a matrix-based animation tool for children, evolving from a basic design concept to a comprehensive, interdisciplinary learning framework. Initially, the idea explores using number-to-symbol mappings within a grid to create visual patterns and simple animations, with features like blank cells and extended symbol sets. This concept then expands into a gamified learning pathway where completing visual animation challen...

We explore A000342, the OEIS entry that counts n-node rooted trees of exact height 5. Height here means the longest path from the root to a leaf is exactly 5 edges, which forces at least 6 nodes. So the early terms start 0, 0, 0, 1, 5, 19, 61, illustrating how the height constraint shapes the counts compared with unconstrained rooted trees. We’ll discuss the counting machinery—recurrences, generating functions, and dynamic programming—and how these counts relate to other related problems in c...

Welcome to the first ever edition of Voices of Mathematics, a podcast from the Mathematics Faculty at the University of Cambridge. From number theory and geometry to cosmology and quantum physics, join us to explore topics across pure and applied mathematics, mathematical statistics and theoretical physics. In this episode we talk to David Tong, Professor of Theoretical Physics at the Department of Applied Mathematics and Theoretical Physics. 2025 marks an important milestone in the history of

In this conversation, Marcus Du Sautoy explores the intricate relationship between mathematics and various forms of art, including music, literature, and visual arts. He discusses how mathematical concepts such as prime numbers, symmetry, and randomness influence creative processes and artistic expressions. Through examples from renowned artists like Shakespeare and Dali, Du Sautoy illustrates how mathematics serves as a blueprint for understanding and creating art, while also emphasizing the

Number of the Day - "357" This podcast is produced by Klassic Studios. Check out our other podcasts there! Learn more about your ad choices. Visit megaphone.fm/adchoices

In this episode of Data Skeptic, we explore the challenges of studying social media recommender systems when exposure data isn't accessible. Our guests Sabrina Guidotti, Gregor Donabauer, and Dimitri Ognibene introduce their innovative "recommender neutral user model" for inferring the influence of opaque algorithms.