What's larger than infinity? Infinity plus one! Scholars learn about the different levels of infinity in the video that uses bijections as a way to show infinite sets as being the same size. They also and see that the  set of real numbers and the set of natural numbers are different in size.

Concepts

infinity, one-to-one correspondence, natural numbers, real numbers

Show More Show Less

Additional Tags

math

Show More Show Less

Instructional Ideas

• Have learners conduct a web quest on Cantor for a journal entry

Classroom Considerations

• Note that the video uses a definition of natural numbers that includes zero
• It is helpful if individuals already know about bijections

• This video is hosted on YouTube

Pros

• Clear explanations make the concept easier to understand
• Graphics promote understanding

Cons

• None