Curated and Reviewed by
Lesson Planet
Using infinity to prove a sequence is finite sounds counter-intuitive, doesn't it? Scholar learn about hereditary base notation and the Goodstein sequence. They discover that proving the Goodstein sequence is finite requires infinite ordinals.
3 Views
0 Downloads
Concepts
Additional Tags
Instructional Ideas
- Have each class member create their own Goodstein sequence
Classroom Considerations
- References information from the "Kill the Mathematical Hydra" video
- Pupils should understand how to write numbers in base notation
- This video is hosted on YouTube
Pros
- Shows step-by-step calculations
- Color coding helps with understanding
Cons
- None