Room 2 of 11 · Ground floor
The Closed Room
“Can something be finished and still not be everything?”
Lamp waiting
▶ Hear the storyteller tell this roomLook
A tiny finished room. Every toy has a place. Every wall is done.
Try
Count everything in the room. Then step back.
Notice
Try the experiment first. Then this will fill in.
What keeps this room working?
The room has a clear edge and a finite inside.
What would break this room?
If we mistake this complete little room for the entire house.
Child-sized version
“Finished does not mean whole.”
Try to break the room
For grown-upsShow me the math
A structure can be complete in itself and still be a proper part of something larger. Completeness of a part says nothing about the whole.
- Closed and bounded
- It has an edge, and everything inside is accounted for.
- Finite
- You can count what is in it and finish counting.
- Subspace
- A complete piece sitting inside a larger space.