Come dive into one of the curiously delightful conversations overheard at National Geographic’s headquarters, as we follow explorers, photographers, and scientists to the edges of our big, weird, beautiful world. Hosted by Peter Gwin and Amy Briggs.
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Innhold levert av Breaking Math, Gabriel Hesch, and Autumn Phaneuf. Alt podcastinnhold, inkludert episoder, grafikk og podcastbeskrivelser, lastes opp og leveres direkte av Breaking Math, Gabriel Hesch, and Autumn Phaneuf eller deres podcastplattformpartner. Hvis du tror at noen bruker det opphavsrettsbeskyttede verket ditt uten din tillatelse, kan du følge prosessen skissert her https://no.player.fm/legal.
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55: Order in the Court (Transfinite Ordinal Numbers)
MP3•Episoder hjem
Manage episode 282293634 series 2462838
Innhold levert av Breaking Math, Gabriel Hesch, and Autumn Phaneuf. Alt podcastinnhold, inkludert episoder, grafikk og podcastbeskrivelser, lastes opp og leveres direkte av Breaking Math, Gabriel Hesch, and Autumn Phaneuf eller deres podcastplattformpartner. Hvis du tror at noen bruker det opphavsrettsbeskyttede verket ditt uten din tillatelse, kan du følge prosessen skissert her https://no.player.fm/legal.
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]
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 patreon.com/breakingmath
Merchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast
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"
---
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
…
continue reading
"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]
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 patreon.com/breakingmath
Merchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast
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"
---
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
122 episoder
MP3•Episoder hjem
Manage episode 282293634 series 2462838
Innhold levert av Breaking Math, Gabriel Hesch, and Autumn Phaneuf. Alt podcastinnhold, inkludert episoder, grafikk og podcastbeskrivelser, lastes opp og leveres direkte av Breaking Math, Gabriel Hesch, and Autumn Phaneuf eller deres podcastplattformpartner. Hvis du tror at noen bruker det opphavsrettsbeskyttede verket ditt uten din tillatelse, kan du følge prosessen skissert her https://no.player.fm/legal.
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]
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 patreon.com/breakingmath
Merchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast
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"
---
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
…
continue reading
"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]
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 patreon.com/breakingmath
Merchandise Purchase a Math Poster on Tensor Calculus at our facebook store at facebook.com/breakingmathpodcast
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"
---
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
122 episoder
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