66 episodes

Breaking Math is a podcast that aims to make math accessible to everyone, and make it enjoyable. Every other week, topics such as chaos theory, forbidden formulas, and more will be covered in detail. If you have 45 or so minutes to spare, you're almost guaranteed to learn something new! Support this podcast: https://anchor.fm/breakingmathpodcast/support

# Breaking Math Podcast Breaking Math Podcast

• Mathematics

Breaking Math is a podcast that aims to make math accessible to everyone, and make it enjoyable. Every other week, topics such as chaos theory, forbidden formulas, and more will be covered in detail. If you have 45 or so minutes to spare, you're almost guaranteed to learn something new! Support this podcast: https://anchor.fm/breakingmathpodcast/support

P4: Go with the Flow (Conceptual Calculus: Related Rates of Change)

## P4: Go with the Flow (Conceptual Calculus: Related Rates of Change)

Join Gabriel and Sofía as they delve into some introductory calculus concepts.

[Featuring: Sofía Baca, Gabriel Hesch]

---

· Anchor: The easiest way to make a podcast. https://anchor.fm/app

Support this podcast: https://anchor.fm/breakingmathpodcast/support

• 38 min
47: Blast to the Past (Retrocausality)

## 47: Blast to the Past (Retrocausality)

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?

[Featuring: Sofía Baca, Gabriel Hesch]

---

· Anchor: The easiest way to make a podcast. https://anchor.fm/app

Support this podcast: https://anchor.fm/breakingmathpodcast/support

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

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

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 are not exotic: they form regularly in our universe, and their role in the intricate web of existence that is our universe is as valid as the laws that result in our own humanity. So what are black holes? How can they have information? And how does this relate to the edge of the universe?

[Featuring: Sofía Baca, Gabriel Hesch]

---

· Anchor: The easiest way to make a podcast. https://anchor.fm/app

Support this podcast: https://anchor.fm/breakingmathpodcast/support

• 54 min
RR24: Language and Entropy (Information Theory in Language; Rerun)

## RR24: Language and Entropy (Information Theory in Language; Rerun)

Sofia is still recovering from eye surgery, so this will be a rerun.

Information theory was founded in 1948 by Claude Shannon, and is a way of both qualitatively and quantitatively describing the limits and processes involved in communication. Roughly speaking, when two entities communicate, they have a message, a medium, confusion, encoding, and decoding; and when two entities communicate, they transfer information between them. The amount of information that is possible to be transmitted can be increased or decreased by manipulating any of the aforementioned variables. One of the practical, and original, applications of information theory is to models of language. So what is entropy? How can we say language has it? And what structures within language with respect to information theory reveal deep insights about the nature of language itself?

[Featuring: Sofía Baca, Gabriel Hesch]

---

· Anchor: The easiest way to make a podcast. https://anchor.fm/app

Support this podcast: https://anchor.fm/breakingmathpodcast/support

• 47 min

[Featuring: Sofía Baca, Gabriel Hesch]

---

· Anchor: The easiest way to make a podcast. https://anchor.fm/app

Support this podcast: https://anchor.fm/breakingmathpodcast/support

• 41 min
46: Earth Irradiated (the Greenhouse Effect)

## 46: Earth Irradiated (the Greenhouse Effect)

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 is in climate science. So what is the greenhouse effect? How does blackbody radiation help us design factories? And what are the problems with this model?

[Featuring: Sofía Baca, Gabriel Hesch]

---