76 episódios

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!

*See our new math and science youtube show called "Turing Rabbit Holes" at youtube.com/turingrabbitholespodcast ! The Breaking Math Podcast team has teamed up with Particle Physicist and Science Fiction Author Dr. Alex Alaniz to deliver a show about science and society. Subscribe and never miss an episode! Support this podcast: https://anchor.fm/breakingmathpodcast/support

# Breaking Math Podcast Breaking Math Podcast

• Matemática

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!

*See our new math and science youtube show called "Turing Rabbit Holes" at youtube.com/turingrabbitholespodcast ! The Breaking Math Podcast team has teamed up with Particle Physicist and Science Fiction Author Dr. Alex Alaniz to deliver a show about science and society. Subscribe and never miss an episode! Support this podcast: https://anchor.fm/breakingmathpodcast/support

56: More Sheep than You Can Count (Transfinite Cardinal Numbers)

## 56: More Sheep than You Can Count (Transfinite Cardinal Numbers)

Look at all you phonies out there.
You poseurs.
All of you sheep. Counting 'til infinity. Counting sheep.
*pff*
What if I told you there were more there? Like, ... more than you can count?
But what would a sheeple like you know about more than infinity that you can count?
heh. *pff*
So, like, what does it mean to count til infinity? What does it mean to count more? And, like, where do dimensions fall in all of this?

(Correction: at 12:00, the paradox is actually due to Galileo Galilei)

Music used in the The Great Courses ad was Portal by Evan Shaeffer

[Featuring: Sofía Baca, Gabriel Hesch]

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This episode is sponsored by
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Support this podcast: https://anchor.fm/breakingmathpodcast/support

• 37 min
55: Order in the Court (Transfinite Ordinal Numbers)

## 55: Order in the Court (Transfinite Ordinal Numbers)

As a child, did you ever have a conversation that went as follows:
"When I grow up, I want to have a million cats"
"Well I'm gonna have a billion billion cats"
"Oh yeah? I'm gonna have infinity cats"
"Then I'm gonna have infinity plus one cats"
"That's nothing. I'm gonna have infinity infinity cats"
"I'm gonna have infinity infinity infinity infinity *gasp* infinity so many infinities that there are infinity infinities plus one cats"
What if I told you that you were dabbling in the transfinite ordinal numbers? So what are ordinal numbers? What does "transfinite" mean? And what does it mean to have a number one larger than another infinite number?

[Featuring: Sofía Baca; Diane Baca]

This episode is released under a Creative Commons attribution sharealike 4.0 international license. For more information, go to CreativeCommoms.org

This episode features the song "Buffering" by "Quiet Music for Tiny Robots"

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This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app

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

• 34 min
54: Oodles (Large Numbers)

## 54: Oodles (Large Numbers)

There are a lot of things in the universe, but no matter how you break them down, you will still have far fewer particles than even some of the smaller of what we're calling the 'very large numbers'. Many people have a fascination with these numbers, and perhaps it is because their sheer scale can boggle the mind. So what numbers can be called 'large'? When are they useful? And what is the Ackermann function? All of this and more on this episode of Breaking Math

[Featuring: Sofía Baca; Diane Baca]

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This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app

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

• 28 min
53: Big Brain Time (An Interview with Peter Zeidman from the UCL Institute of Neurology)

## 53: Big Brain Time (An Interview with Peter Zeidman from the UCL Institute of Neurology)

Neuroscience is a topic that, in many ways, is in its infancy. The tools that are being used in this field are constantly being honed and reevaluated as our understanding of the brain and mind increase. And it's no surprise: the brain is responsible for the way we interact with the world, and the idea that ideas hone one another is not new to anyone who possesses a mind. But how can the tools that we use to study the brain and the mind be linked? How do the mind and the brain encode one another? And what does Bayes have to do with this? All of this and more on this episode of Breaking Math.

[Featuring: Sofía Baca, Gabriel Hesch; Peter Zeidman]

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This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app

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

• 45 min
52: Round (Circles and Spheres)

## 52: Round (Circles and Spheres)

Spheres and circles are simple objects. They are objects that are uniformly curved throughout in some way or another. They can also be defined as objects which have a boundary that is uniformly distant from some point, using some definition of distance. Circles and spheres were integral to the study of mathematics at least from the days of Euclid, being the objects generated by tracing the ends of idealized compasses. However, these objects have many wonderful and often surprising mathematical properties. To this point, a circle's circumference divided by its diameter is the mathematical constant pi, which has been a topic of fascination for mathematicians for as long as circles have been considered.

[Featuring Sofía Baca; Merryl Flaherty]

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This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app

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

• 32 min
P5: All Your Base Are Belong to Us (Fractional Base Proof)

## P5: All Your Base Are Belong to Us (Fractional Base Proof)

Join Sofia and Gabriel on this problem episode where we explore "base 3-to-2" — a base system we explored on the last podcast — and how it relates to "base 3/2" from last episode.

[Featuring: Sofía Baca; Gabriel Hesch]

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This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app

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

• 14 min

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