Communicating science without undermining its complexities: different sizes of infinity

I just came across this YouTube video that I believe explains different sizes of infinity in a very understandable way.The video does so without the introduction of diagonalization (when Professor Harold Boas first introduced this in my first "real math" class it blew my mind), which I felt was instrumental in my understanding of the different sizes of infinity.

However, this video reminds me that a critical aspect of practising science is the ability to communicate its importance without requiring extensive background knowledge. In my opinion, this video does this very well without undermining the complexity of the problem.

   

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