2.5.1 Hilbert's Infinite Hotel and Sizes of Infinite Sets || Discrete Math

Описание к видео 2.5.1 Hilbert's Infinite Hotel and Sizes of Infinite Sets || Discrete Math

Do all infinite sets have the same size? Does {1, 2, 3, ...} have the same size as {0, 1, 2, 3, ...}? We explore these questions through the problem of Hilbert's Hotel, a hotel with an infinite number of rooms.

0:00 Goals
0:24 Hilbert's Infinite Hotel
2:47 An Infinite Bus Shows Up
5:06 1-1 Correspondence
7:34 Cardinality

Here is a link to a Google Drive folder that has all of the template notes files that I use for these videos. These can help facilitate your note-taking!
https://drive.google.com/drive/folder...

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