Skip to content

new Uncountable - #153

Open
WenrongZou wants to merge 10 commits into
hhu-adam:main-v2from
WenrongZou:RealUncountable
Open

new Uncountable#153
WenrongZou wants to merge 10 commits into
hhu-adam:main-v2from
WenrongZou:RealUncountable

Conversation

@WenrongZou

@WenrongZou WenrongZou commented Jul 11, 2026

Copy link
Copy Markdown
Collaborator

This planet after Iso. Introduce equivalent in this planet.

Comment thread Game/Levels/Uncountable/L04.lean Outdated
Comment thread Game/Levels/Uncountable/L07.lean Outdated
Comment thread Game/Levels/Uncountable/L06.lean Outdated
Comment thread Game/Levels/Uncountable/L11.lean Outdated
Comment thread Game/Levels/Uncountable/L08.lean Outdated

open Module Cardinal

Statement {α β : Type u} : #α ^ #β = #(β → α) := by

Copy link
Copy Markdown
Collaborator

Choose a reason for hiding this comment

The reason will be displayed to describe this comment to others. Learn more.

This level should come one or two levels earlier, so it's grouped together with the other levels that are exclusively about cardinality and not about linear algebra.

@TentativeConvert

Copy link
Copy Markdown
Collaborator

The biggest remaining issue regarding this planet is how to connect it to Cantor. The final level of Cantor should be rephrased as an Uncountability statement, somewhere. Options that come to mind:

  • Cantor → RealUncountable: Give the final level of Cantor a name, insert a level here that deduces the uncountability of sequences ℕ → ℕ from that statement.
  • Cantor → Cardinality → RealUncountable: Same as above, but make the first levels of this planet into a separate "Cardinality" planet, and keep only the linear algebra stuff in RealUncountable.
  • Cardinality → Cantor, Cardinality → RealUncountable: Make the first levels of this planet into a separate "Cardinality" planet, and keep only the linear algebra stuff here. Rephrase Cantor's statement at the end of Cantor.

(I'm leaning towards the first option.)

@WenrongZou
WenrongZou marked this pull request as ready for review August 3, 2026 05:26
@WenrongZou WenrongZou changed the title activate RealUncountable new Uncountable Aug 5, 2026
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment

Labels

None yet

Projects

None yet

Development

Successfully merging this pull request may close these issues.

2 participants