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PODCAST

Breaking Math Podcast

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

science mathematics

All Episodes

56:55

49: Thinking Machines II (Techniques in Artificial...

Breaking Math Podcast ·

2020/05/26

Machines have been used to simplify labor since time immemorial, and simplify thought in the last few hundred years. We are at a point now where we have the electronic computer to aid us in our endeavor, which allows us to build hypothetical thinking machines by simply writing their blueprints — namely, the code that represents their function — in a general way that can be easily reproduced by others. This has given rise to an astonishing array of techniques used to process data, and in recent

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58:58

48: Thinking Machines (Philosophical Basis of...

Breaking Math Podcast ·

2020/05/18

Machines, during the lifetime of anyone who is listening to this, have advanced and revolutionized the way that we live our lives. Many listening to this, for example, have lived through the rise of smart phones, 3d printing, massive advancements in lithium ion batteries, the Internet, robotics, and some have even lived through the introduction of cable TV, color television, and computers as an appliance. All advances in machinery, however, since the beginning of time have one thing in common: they

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37:48

P4: Go with the Flow (Conceptual Calculus: Related...

Breaking Math Podcast ·

2020/03/10

Join Gabriel and Sofía as they delve into some introductory calculus concepts.[Featuring: Sofía Baca, Gabriel Hesch]Ways to support the show:-Visit our Sponsors: theGreatCoursesPlus.com/breakingmath Get a free month of the Great Courses Plus while supporting this show by clicking the link and signing up! brilliant.org/breakingmath Sign up at brilliant.org, where breaking math listeners get a 20% off of a year's subscription of Brilliant Premium!Patreon Become a monthly supporter at

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31:23

47: Blast to the Past (Retrocausality)

Breaking Math Podcast ·

2020/02/29

Time is something that everyone has an idea of, but is hard to describe. Roughly, the arrow of time is the same as the arrow of causality. However, what happens when that is not the case? It is so often the case in our experience that this possibility brings not only scientific and mathematic, but ontological difficulties. So what is retrocausality? What are closed timelike curves? And how does this all relate to entanglement?This episode is distributed under a CC BY-SA 4.0 license. For more

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54:22

RR30: The Abyss (Part One; Black Holes; Rerun)

Breaking Math Podcast ·

2020/02/18

Sofia is still recovering from eye surgery, so this will be a rerun. We'll probably be back next week.The idea of something that is inescapable, at first glance, seems to violate our sense of freedom. This sense of freedom, for many, seems so intrinsic to our way of seeing the universe that it seems as though such an idea would only beget horror in the human mind. And black holes, being objects from which not even light can escape, for many do beget that same existential horror. But these objects

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41:34

P3: Radiativeforcenado (Radiative Forcing)

Breaking Math Podcast ·

2020/02/03

Learn more about radiative forcing, the environment, and how global temperature changes with atmospheric absorption with this Problem Episode about you walking your (perhaps fictional?) dog around a park. This episode is distributed under a CC BY-SA license. For more information, visit CreativeCommons.org.[Featuring: Sofía Baca, Gabriel Hesch]--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast:

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43:19

46: Earth Irradiated (the Greenhouse Effect)

Breaking Math Podcast ·

2020/01/20

Since time immemorial, blacksmiths have known that the hotter metal gets, the more it glows: it starts out red, then gets yellower, and then eventually white. In 1900, Max Planck discovered the relationship between an ideal object's radiation of light and its temperature. A hundred and twenty years later, we're using the consequences of this discovery for many things, including (indirectly) LED TVs, but perhaps one of the most dangerously neglected (or at least ignored) applications of this theory

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27:17

45: Climate Denialism and Cranky Uncles (Interview...

Breaking Math Podcast ·

2019/12/10

Climate change is an issue that has become frighteningly more relevant in recent years, and because of special interests, the field has become muddied with climate change deniers who use dishonest tactics to try to get their message across. The website SkepticalScience.com is one line of defense against these messengers, and it was created and maintained by a research assistant professor at the Center for Climate Change Communication at George Mason University, and both authored and co-authored two

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38:14

44: Vestigial Math (Math That Is Not Used like It...

Breaking Math Podcast ·

2019/11/03

Mathematics, like any intellectual pursuit, is a constantly-evolving field; and, like any evolving field, there are both new beginnings and sudden unexpected twists, and things take on both new forms and new responsibilities. Today on the show, we're going to cover a few mathematical topics whose nature has changed over the centuries. So what does it mean for math to be extinct? How does this happen? And will it continue forever?This episode is distributed under a CC BY-SA license. For more

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21:09

P2: Walk the Dog (Calculus: Chain Rule)

Breaking Math Podcast ·

2019/10/30

Learn more about calculus, derivatives, and the chain rule with this Problem Episode about you walking your (perhaps fictional?) dog around a park.This episode is distributed under a CC BY-SA license. For more information, visit CreativeCommons.org.[Featuring: Sofía Baca, Gabriel Hesch]--- 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:

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44:53

43: Interview II with Author Ben Orlin (Change is the...

Breaking Math Podcast ·

2019/10/23

Ben Orlin has been a guest on the show before. He got famous with a blog called 'Math With Bad Drawings", which is what it says on the tin: he teaches mathematics using his humble drawing skills. His last book was a smorgasbord of different mathematical topics, but he recently came out with a new book 'Change is the Only Constant: the Wisdom of Calculus in a Madcap World', which focuses more on calculus itself.This episode is distributed under a CC BY-SA license. For more info, visit

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36:22

P1: Peano Addition

Breaking Math Podcast ·

2019/09/29

On this problem episode, join Sofía and guest Diane Baca to learn about what an early attempt to formalize the natural numbers has to say about whether or not m+n equals n+m.This episode is distributed under a CC BY-SA 4.0 license (https://creativecommons.org/licenses/by-sa/4.0/)--- 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:

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34:15

42: Maybe? (Probability and Statistics)

Breaking Math Podcast ·

2019/08/15

Statistics is a field that is considered boring by a lot of people, including a huge amount of mathematicians. This may be because the history of statistics starts in a sort of humdrum way: collecting information on the population for use by the state. However, it has blossomed into a beautiful field with its fundamental roots in measure theory, and with some very interesting properties. So what is statistics? What is Bayes' theorem? And what are the differences between the frequentist and Bayesian

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32:12

SR1: Forty Intros (Catalogue)

Breaking Math Podcast ·

2019/08/04

We've been doing this show for a while, and we thought it'd be fun to put out our first forty intros, especially since we passed 500,000 listens very recently.License: CC BY-SA 4.0 (creativecommons.org for more info)--- Support 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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56:59

41: Reality Is More Than Complex (Group Theory and...

Breaking Math Podcast ·

2019/07/29

Children who are being taught mathematics often balk at the idea of negative numbers, thinking them to be fictional entities, and often only learn later that they are useful for expressing opposite extremes of things, such as considering a debt an amount of money with a negative sum. Similarly, students of mathematics often are puzzled by the idea of complex numbers, saying that it makes no sense to be able to take the square root of something negative, and only realizing later that these can have

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30:05

40: Save the Date (Calendrical Math)

Breaking Math Podcast ·

2019/07/07

A calendar is a system of dividing up time into manageable chunks so that we can reference how long ago something happened, agree on times to do things in the future, and generally just have a sense of reckoning time. This can be as simple as recognizing the seasons of the year, as arcane as the Roman Republican calendar, or as accurate as atomic clocks. So what are the origins of calendars? What is intercalation? And when is Easter?--- This episode is sponsored by · Anchor: The easiest way to make

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34:37

39: Syntax Matters: Syntax... Matters? (Formal Grammar)

Breaking Math Podcast ·

2019/05/29

We communicate every day through languages; not only human languages, but other things that could be classified as languages such as internet protocols, or even the structure of business transactions. The structure of words or sentences, or their metaphorical equivalents, in that language is known as their syntax. There is a way to describe certain syntaxes mathematically through what are known as formal grammars. So how is a grammar defined mathematically? What model of language is often used in

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33:10

38: The Great Stratagem Heist (Game Theory: Iterated...

Breaking Math Podcast ·

2019/04/23

Game theory is all about decision-making and how it is impacted by choice of strategy, and a strategy is a decision that is influenced not only by the choice of the decision-maker, but one or more similar decision makers. This episode will give an idea of the type of problem-solving that is used in game theory. So what is strict dominance? How can it help us solve some games? And why are The Obnoxious Seven wanted by the police?Ways to support the show:-Visit our Sponsors:

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41:32

37: The One Where They Parody Saw [audio fixed again]...

Breaking Math Podcast ·

2019/02/25

Hello listeners. You don't know me, but I know you. I want to play a game. In your ears are two earbuds. Connected to the earbuds are a podcast playing an episode about game theory. Hosting that podcast are two knuckleheads. And you're locked into this episode. The key is at the end of the episode. What is game theory? Why did we parody the Saw franchise? And what twisted lessons will you learn?-See our New Youtube Show "Turing Rabbit Holes Podcast" at youtube.com/TuringRabbitHolesPodcast. Also

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17:03

Stay Tuned for Season 3

Breaking Math Podcast ·

2019/01/26

Breaking Math will return with a third season in early February with an episode series about game theory starting with "The One where they Parody 'Saw'". We also talk about some upcoming news and such. Until then, enjoy in-the-works podcast "The Soapbox: a Podcast about Speech and Debate" by Santa Fe Trail Media (our parent organization), which is featured here on Breaking Math.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast:

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