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Infinity Explained: Paradoxes, Math, and the Infinite Universe

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Content provided by Daily Deep Dives. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Daily Deep Dives or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

What happens when you check into a hotel with infinite rooms—all already occupied—and still get a key? Welcome to the mind-blowing world of infinity. In this episode of Science Deep Dive, we take you on a fascinating journey from ancient philosophy to cutting-edge mathematics, exploring the paradoxes, puzzles, and real-world implications of infinity.

From Hilbert’s Hotel to the Banach-Tarski Paradox, from fractals to black holes, and from algorithmic loops to multiverse theories, infinity shows up in places both profound and practical. You’ll learn why some infinities are bigger than others, why physicists both fear and rely on it, and how it shapes everything from calculus to cosmology.

Whether you're a curious learner or a hardcore math geek, this episode will stretch your imagination and maybe even your understanding of the universe itself. Buckle up—this one goes on forever. Literally.

  continue reading

30 episodes

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Archived series ("Inactive feed" status)

When? This feed was archived on June 08, 2025 20:07 (3d ago). Last successful fetch was on April 30, 2025 09:08 (1M ago)

Why? Inactive feed status. Our servers were unable to retrieve a valid podcast feed for a sustained period.

What now? You might be able to find a more up-to-date version using the search function. This series will no longer be checked for updates. If you believe this to be in error, please check if the publisher's feed link below is valid and contact support to request the feed be restored or if you have any other concerns about this.

Manage episode 478624071 series 3608052
Content provided by Daily Deep Dives. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Daily Deep Dives or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://ppacc.player.fm/legal.

What happens when you check into a hotel with infinite rooms—all already occupied—and still get a key? Welcome to the mind-blowing world of infinity. In this episode of Science Deep Dive, we take you on a fascinating journey from ancient philosophy to cutting-edge mathematics, exploring the paradoxes, puzzles, and real-world implications of infinity.

From Hilbert’s Hotel to the Banach-Tarski Paradox, from fractals to black holes, and from algorithmic loops to multiverse theories, infinity shows up in places both profound and practical. You’ll learn why some infinities are bigger than others, why physicists both fear and rely on it, and how it shapes everything from calculus to cosmology.

Whether you're a curious learner or a hardcore math geek, this episode will stretch your imagination and maybe even your understanding of the universe itself. Buckle up—this one goes on forever. Literally.

  continue reading

30 episodes

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