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# How Big are All Infinities Combined? (Cantor's Paradox)
- URL: https://www.cascadepbs.org/show/infinite-series/episode/how-big-are-all-infinities-combined-cantors-paradox-etgfjo/
- Published: 2024-04-02T22:52:11.000Z
- Updated: 2025-08-21T06:36:14.000Z
- Description: Infinities come in different sizes. So what's the right way to describe the sum?
- Author: Cascade PBS Staff
- Tags: Infinite Series, Season 2, Episode 15, #ZZZ_Episode_a3867506-2135-4b2e-81ec-a792e9ef42f7, #episode, #ZZZ_Show_0efdefa6-fb6f-44e5-96f1-baf9a8c090e2, #geo-us, #v1.16

Infinities come in different sizes. There’s a whole tower of progressively larger "sizes of infinity". So what’s the right way to describe the size of the whole tower?