In this episode of Breaking Math, Autumn explores the complex world of AI ethics, focusing on its implications in education, the accuracy of AI systems, the biases inherent in algorithms, and the challenges of data privacy. The discussion emphasizes the importance of ethical considerations in mathematics and computer science, advocating for transparency and accountability in AI systems. Autumn also highlights the role of mathematicians in addressing these ethical dilemmas and the need for society to engage critically with AI technologies.

Takeaways

 * AI systems can misinterpret student behavior, leading to false accusations.
 * Bias in AI reflects historical prejudices encoded in data.
 * Predictive analytics can help identify at-risk students but may alter their outcomes.
 * Anonymization of data is often ineffective in protecting privacy.
 * Differential privacy offers a way to share data while safeguarding individual identities.
 * Ethics should be a core component of algorithm design.
 * The impact of biased algorithms can accumulate over time.
 * Mathematicians must understand both technical and human aspects of AI.
 * Society must question the values embedded in AI systems.
 * Small changes in initial conditions can lead to vastly different outcomes.

Chapters

 * 00:00 Introduction to AI Ethics
 * 02:14 The Accuracy and Implications of AI in Education
 * 04:14 Bias in AI and Its Consequences
 * 05:45 Data Privacy Challenges in AI
 * 06:37 Mathematical Solutions for Ethical AI
 * 08:04 The Role of Mathematicians in AI Ethics
 * 09:42 The Future of AI and Ethical Considerations

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email: breakingmathpodcast@gmail.com





AI Ethics: Algorithms Go To College

In this episode, we explore the intricate mathematics behind Sp0tify's (ok... and other's) shuffle feature, revealing how it is designed to feel random while actually being carefully curated. We discuss the psychological implications of randomness, the Fisher-Yates shuffle algorithm, and how engineers have created a system that respects human perception of randomness. The conversation delves into the philosophical aspects of curated randomness and the broader implications of mathematical principles in technology and human experience.

Takeaways

 * The shuffle feature is not truly random.
 * Humans struggle to recognize true randomness due to cognitive biases.
 * The Fisher-Yates shuffle algorithm is a standard for randomization.
 * Uses psychological techniques to enhance user satisfaction with shuffle.
 * Dithering is a method used to create a perception of randomness.
 * Shuffle feature analyzes multiple dimensions to optimize song selection.
 * The algorithm incorporates noise to maintain unpredictability.
 * Curated randomness is prevalent in various technologies beyond music.
 * Humans prefer sequences with fewer clusters to feel more random.
 * Mathematics can reveal insights into human behavior and preferences.

Chapters

00:00 The Hidden Mathematics of Spotify Shuffle

05:56 The Art of Psychological Randomness

07:58 Philosophical Implications of Curated Randomness

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email: breakingmathpodcast@gmail.com



Random Shuffle Isn't Random At All

This conversation explores the intricate relationship between mathematics and artificial intelligence (AI) for people who don't want to get too math heavy and want things simplified as much as possible. It delves into how algorithms, machine learning, and various mathematical tools like linear algebra, calculus, and statistics form the backbone of AI technologies. The discussion highlights real-world applications of AI, the ethical implications of its use, and the importance of mathematical literacy in an increasingly AI-driven world. Ultimately, it emphasizes that understanding the mathematical foundations of AI empowers individuals to engage meaningfully with technology and its impact on society.

Takeaways:

 * Mathematics powers seemingly magical technologies like AI.
 * Algorithms are sets of instructions that guide AI processes.
 * Machine learning finds patterns in data through trial and error.
 * Linear algebra organizes data into vectors and matrices.
 * Calculus helps AI find optimal solutions to problems.
 * Probability theory allows AI to express uncertainty in predictions.
 * AI applications include medical diagnostics and financial algorithms.
 * Self-driving cars use mathematics to navigate and make decisions.
 * Mathematical literacy is crucial in an AI-driven world.
 * Understanding AI's math gives individuals agency in technology.



Chapters: 

00:00 The Mathematical Heart of AI

03:28 Mathematics in Action: Real-World Applications

05:33 Empowerment Through Understanding Mathematics

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Algorithms & AI Simplified - The Not So Mathy Version

This conversation delves into the intersection of quantum computing and cryptography, focusing on the implications of quantum computers for current encryption methods and the necessity for post-quantum cryptography. Dr. Dustin Moody from NIST discusses the threats posed by quantum computing, particularly through Shor's algorithm, and the ongoing efforts to develop new cryptographic standards that can withstand these threats. The discussion also covers the role of NIST in standardizing post-quantum algorithms, the mathematical challenges involved, and the importance of preparing businesses for the transition to these new systems.

All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.

Takeaways

 * Quantum computers harness principles of quantum physics for computation.
 * Shor's algorithm can efficiently factor large numbers, threatening RSA encryption.
 * Post-quantum cryptography aims to develop algorithms resistant to quantum attacks.
 * NIST is leading the effort to standardize post-quantum cryptographic algorithms.
 * Lattice-based algorithms are promising for post-quantum cryptography due to their efficiency.
 * Businesses must be proactive in transitioning to post-quantum cryptography.
 * The Harvest Now, Decrypt Later threat highlights the urgency of transitioning.
 * Quantum key distribution offers theoretically perfect security.
 * Different cryptographic algorithms are needed for various applications and devices.
 * The future of cryptography will rely on new mathematical challenges to ensure security.

Keywords

quantum computing, cryptography, post-quantum cryptography, NIST, cybersecurity, Shor's algorithm, digital signatures, lattice-based algorithms, encryption, quantum threats

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What is Cryptography?

In this episode,  Autumn interviews Dr. Ileana Pazos, an expert in dosimetry, discussing the critical role of radiation measurement in various industries, including healthcare and food safety. They explore the science behind dosimetry, the applications of radiation, the challenges faced in accurate measurements, and the misconceptions surrounding food irradiation. Ileana emphasizes the importance of public education and the need for global standards in radiation measurement, while also sharing her personal connection to the field and the future of radiation technologies.

All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.

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We Live in a Radioactive World: What is Dosimetry?

In this conversation, Dr. Elizabeth Strychalski discusses the fascinating field of synthetic biology, particularly focusing on synthetic cells. She shares her journey into this research area, the challenges of defining life, and the ethical considerations surrounding synthetic biology. The conversation also explores the potential applications of synthetic cells in environmental science and medicine, as well as the importance of engineering standards and biomanufacturing for sustainability. Dr. Strychalski emphasizes the need for collaboration and communication in the scientific community to advance this field responsibly and effectively.

All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.

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What is Life?

In this episode of Breaking Math, hosts Autumn and Gabriel explore the innovative intersections of fire science and technology with experts Amy Mensch and Ryan Falkenstein-Smith who work at NIST. They discuss the groundbreaking photoacoustic technique for measuring soot deposition, its applications in fire safety and forensic investigations, and the broader implications for fire research. The conversation highlights the importance of integrating advanced technologies into firefighting and the potential for future developments in the field.

You can learn more about Time at time.gov and NIST at nist.gov.

All opinions are of the individual scientist and do not reflect the opinions of  NIST or the federal Government.

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Fire Science: What are Photoacoustic Measurements?

In this episode of Breaking Math, Autumn and Andrew Novick delve into the intricate world of timekeeping, exploring the significance of precise time measurement in modern technology. They discuss the evolution from traditional atomic clocks to cutting-edge optical clocks, the critical role of time in various industries, and the implications of time on fundamental physics, including Einstein's theories. The conversation also touches on the quirky concept of leap seconds and the future advancements in timekeeping technology, emphasizing the relative nature of time and its perception.

You can learn more about Time at time.gov and NIST at nist.gov.

All opinions are of the individual scientist and do not reflect the opinions of  NIST or the federal Government.

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What is Time?

Summary

This episode of Breaking Math explores the fundamental concept of measurement, its importance in daily life, and the necessity for standardized units. The discussion highlights the role of the International System of Units (SI) and the National Institute of Standards and Technology (NIST) in maintaining measurement accuracy. It also touches on historical measurement failures and the evolution of measurement definitions, emphasizing the future of measurement in technology and science.

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What is Measurement?

In this episode, Dr. Destine Nock, CEO of Peoples Energy Analytics and a Professor at Carnegie Mellon University, joins Autumn to dive deep into the world of energy equity. They explore how cutting-edge data analytics are revolutionizing the landscape of affordable energy access. As the global demand for sustainable energy solutions continues to grow, the need to ensure fair and inclusive energy distribution becomes more critical than ever. Together, our hosts break down how data-driven insights are being leveraged to develop and implement policies that make energy more accessible to underserved communities, tearing down socioeconomic barriers and paving the way for a more equitable future.

Dr. Nock and Autumn discuss the powerful role that advanced analytics play in everything from analyzing consumption patterns to optimizing renewable energy distribution. They explore real-world case studies, highlight key initiatives, and speak with experts who are at the forefront of these transformative efforts. By the end of this episode, you’ll understand how strategic use of data can drive lasting change and help us build a world where energy is not a privilege but a right accessible to all.

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Follow Dr. Destenie Nock on LinkedIn [https://www.linkedin.com/in/desdes/] and on her website [https://destenienock5.wixsite.com/destenienock]. Check out Peoples Energy Analytics [https://www.peoplesenergyanalytics.com/] as well.

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How Analytics Can Revolutionize Affordable Energy

Breaking Math is a deep-dive science, technology, engineering, AI, and mathematics podcast that explores the world through the lens of logic, patterns, and critical thinking. Hosted by Autumn Phaneuf, an expert in industrial engineering, operations research and applied mathematics, and Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the systems that shape our future.

What began as a conversation about math as a pure and elegant discipline has evolved into a platform for bold, interdisciplinary dialogue. Each episode of Breaking Math takes listeners on an intellectual journey—whether it’s into the strange beauty of chaos theory, the ethical dilemmas of AI, the deep structures of biological evolution, or the thermodynamics of black holes. Along the way, Autumn and Gabriel interview leading thinkers and working scientists from across the spectrum: computer scientists, quantum physicists, chemists, philosophers, neuroscientists, and more.

But this isn’t just a podcast about equations—it’s a show about how mathematics influences the way we think, create, build, and understand. Breaking Math pushes back against the idea that STEM belongs behind a paywall or an academic podium. It’s for the curious, the critical, the creative—for anyone who believes that ideas should be rigorous, accessible, and infused with wonder.

If you've ever wondered:

 * What’s the math behind machine learning?
 * How do we quantify uncertainty in climate models?
 * Can consciousness be described in AI?
 * Why does beauty matter in an equation?

Then you’re in the right place.

At its heart, Breaking Math is about building bridges—between disciplines, between experts and the public, and between the abstract world of mathematics and the messy, magnificent reality we live in. With humor, clarity, and deep respect for complexity, Autumn and Gabriel invite you to rethink what math can be—and how it can help us shape a better future.

Listen wherever you get your podcasts.
Website: https://breakingmath.io [https://breakingmath.io/]
Linktree: https://linktr.ee/breakingmathmedia
Email: breakingmathpodcast@gmail.com

Breaking Math Podcast

Breaking Math's Show

A math podcast that explores science, creativity, and other faucets of the human experience numbers, axioms, and models.  BreakingMath.io [http://breakingmath.io/]

Breaking Math

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