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PODCAST

Breaking Math Podcast

Autumn Phaneuf & Noah Giansiracusa

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 Noah Giansiracusa, a mathematician and leading voice in algorithmic literacy and technology ethics, the show is dedicated to uncovering the mathematical structures behind science, technology, and the systems shaping

science mathematics

All Episodes

1:19

Stay Tuned for Season 2!

Breaking Math Podcast ·

2018/02/25

Jonathan and Gabriel discuss what you have to expect with Breaking Math's second season!--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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54:04

23: Don't Touch My Circles! (Geometry)

Breaking Math Podcast ·

2018/01/15

In the study of mathematics, there are many abstractions that we deal with. For example, we deal with the notion of a real number with infinitesimal granularity and infinite range, even though we have no evidence for this existing in nature besides the generally noted demi-rules 'smaller things keep getting discovered' and 'larger things keep getting discovered'. In a similar fashion, we define things like circles, squares, lines, planes, and so on. Many of the concepts that were just mentioned have

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57:55

22: Incomplet (Gödel, Escher, Bach: an Eternal Golden...

Breaking Math Podcast ·

2017/12/23

Gödel, Escher, Bach is a book about everything from formal logic to the intricacies underlying the mechanisms of reasoning. For that reason, we've decided to make a tribute episode; specifically, about episode IV. There is a Sanskrit word "maya" which describes the difference between a symbol and that which it symbolizes. This episode is going to be all about the math of maya. So what is a string? How are formal systems useful? And why do we study them with such vigor?--- This episode is sponsored

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64:03

21: Einstein's Biggest Idea (General Relativity)

Breaking Math Podcast ·

2017/12/04

Some see the world of thought divided into two types of ideas: evolutionary and revolutionary ideas. However, the truth can be more nuanced than that; evolutionary ideas can spur revolutions, and revolutionary ideas may be necessary to create incremental advancements. General relativity is an idea that was evolutionary mathematically, revolutionary physically, and necessary for our modern understanding of the cosmos. Devised in its full form first by Einstein, and later proven correct by experiment,

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41:46

20: Rational (Ratios)

Breaking Math Podcast ·

2017/11/18

From MC²’s statement of mass energy equivalence and Newton’s theory of gravitation to the sex ratio of bees and the golden ratio, our world is characterized by the ratios which can be found within it. In nature as well as in mathematics, there are some quantities which equal one another: every action has its equal and opposite reaction, buoyancy is characterized by the displaced water being equal to the weight of that which has displaced it, and so on. These are characterized by a qualitative

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41:15

19: Tune of the Hickory Stick (Beginning to...

Breaking Math Podcast ·

2017/11/07

The art of mathematics has proven, over the millennia, to be a practical as well as beautiful pursuit. This has required us to use results from math in our daily lives, and there's one thing that has always been true of humanity: we like to do things as easily as possible. Therefore, some very peculiar and interesting mental connections have been developed for the proliferation of this sort of paramathematical skill. What we're talking about when we say "mental connections" is the cerebral process

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45:29

18: Frequency (Fourier and Related Analyses)

Breaking Math Podcast ·

2017/10/11

Duration and proximity are, as demonstrated by Fourier and later Einstein and Heisenberg, very closely related properties. These properties are related by a fundamental concept: frequency. A high frequency describes something which changes many times in a short amount of space or time, and a lower frequency describes something which changes few times in the same time. It is even true that, in a sense, you can ‘rotate’ space into time. So what have we learned from frequencies? How have they been

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61:49

17: Navier Stoked (Vector Calculus and Navier-Stokes...

Breaking Math Podcast ·

2017/10/05

From our first breath of the day to brushing our teeth to washing our faces to our first sip of coffee, and even in the waters of the rivers we have built cities upon since antiquity, we find ourselves surrounded by fluids. Fluids, in this context, mean anything that can take the shape of its container. Physically, that means anything that has molecules that can move past one another, but mathematics has, as always, a slightly different view. This view is seen by some as more nuanced, others as more

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70:53

BFNB2: Thought for Food (Discussion about Learning)

Breaking Math Podcast ·

2017/09/19

Sponsored by www.brilliant.org/breakingmath, where you can take courses in calculus, computer science, chemistry, and other STEM subjects. All online; all at your own pace; and accessible anywhere with an internet connection, including your smartphone or tablet! Start learning today! Check out: https://blankfornonblank.podiant.co/e/357f09da787bac/What you're about to hear is part two of an episode recorded by the podcasting network ___forNon___ (Blank for Non-Blank), of which Breaking Math,

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34:50

BFNB1: Food for Thought (Discussion about Learning)

Breaking Math Podcast ·

2017/09/16

This is the first group podcast for the podcasting network ___forNon___ (pronounced "Blank for Non-Blank"), a podcasting network which strives to present expert-level subject matter to non-experts in a way which is simultaneously engaging, interesting, and simple. The episode today delves into the problem of learning. We hope you enjoy this episode.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast:

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1:48

A Special Message

Breaking Math Podcast ·

2017/09/02

Hello. This is Jonathan from Breaking Math to bring you a specialmessage. Gabriel, my co-host, has recently had a child. The childis healthy, but both children and Breaking Math take time,and we're still figuring out how to make use of said time mostefficiently. So I'm here to tell you what you can expect in themean time.In the mean time, you can expect some minisodes from us. These willbe covering a variety of topics, hopefully including the millenniumproblems.You can also expect us to release new

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25:00

Minisode 0.6: Four Problems

Breaking Math Podcast ·

2017/08/18

Jonathan and Gabriel discuss four challenging problems.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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62:06

15: Consciousness

Breaking Math Podcast ·

2017/07/30

What does it mean to be a good person? What does it mean to make a mistake? These are questions which we are not going to attempt to answer, but they are essential to the topic of study of today’s episode: consciousness. Conscious is the nebulous thing that lends a certain air of importance to experience, but as we’ve seen from 500 centuries of fascination with this topic, it is difficult to describe in languages which we’re used to. But with the advent of neuroscience and psychology, we seem to be

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13:39

Minisode 0.5: ___forNon___

Breaking Math Podcast ·

2017/07/20

Jonathan and Gabriel discuss ___forNon___ (blank for non-blank); a podcasting collective they've recently joined. Check out more at blankfornonblank.com.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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67:02

14: Artificial Thought (Neural Networks)

Breaking Math Podcast ·

2017/07/11

Go to www.brilliant.org/breakingmathpodcast to learn neural networks, everyday physics, computer science fundamentals, the joy of problem solving, and many related topics in science, technology, engineering, and math. Mathematics takes inspiration from all forms with which life interacts. Perhaps that is why, recently, mathematics has taken inspiration from that which itself perceives the world around it; the brain itself. What we’re talking about are neural networks. Neural networks have their

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50:26

13: Math and Prison Riots (Interview with Frank Salas)

Breaking Math Podcast ·

2017/06/27

Frank Salas is an statistical exception, but far from an irreplicable result. Busted on the streets of Albuquerque for selling crack cocaine at 17, an age where many of us are busy honing the skills that we've chosen to master, and promply incarcerated in one of the myriad concrete boxes that comprise the United States penal system. There, he struggled, as most would in his position, to better himself spiritually or ethically, once even participating in a prison riot. After two stints in solitary

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52:08

12: Math Factory (Algorithms)

Breaking Math Podcast ·

2017/06/13

In a universe where everything is representable by information, what does it mean to interact with that world? When you follow a series of steps to accomplish a goal, what you're doing is taking part in a mathematical tradition as old as math itself: algorithms. From time immemorial, we've accelerated the growth of this means of transformation, and whether we're modeling neurons, recognizing faces, designing trusses on a bridge, or coloring a map, we're involving ourselves heavily in a fantastic

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61:23

11: A Culture of Hacking (Hacker Culture)

Breaking Math Podcast ·

2017/05/31

The culture of mathematics is a strange topic. It is almost as important to the history of mathematics as the theorems that have come from it, yet it is rarely commented upon, and it is almost never taught in schools. One form of mathematical inquiry that has cropped up in the last two centuries has been the algorithm. While not exclusive to this time period, it has achieved a renaissance, and with the algorithm has come what has come to be known as "hacker culture". From Lord Byron to Richard

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75:40

10: Cryptomath (Cryptography)

Breaking Math Podcast ·

2017/05/16

Language and communication is a huge part of what it means to be a person, and a large part of this importance is the ability to direct the flow of that information; this is a practice known as cryptography. There are as many ways to encrypt data as there are ways to use them, ranging from cryptoquips solvable by children in an afternoon to four kilobit RSA taking eons of time. So why are there so many forms of encryption? What can they be used for? And what are the differences in their methodology,

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52:44

9: Humanity 2.0 (Transhumanism)

Breaking Math Podcast ·

2017/05/02

Humanity, since its inception, has been nebulously defined. Every technological advancement has changed what it means to be a person, and every person has changed what it means to advance. In this same vein, there is a concept called “transhumanism”, which refers to what it will mean to be a person. This can range from everything from genetic engineering, to artificial intelligence, to technology which is beyond our current physical understanding. So what does it mean to be a person? And is

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