The best map-makers know that maps are part of the territory, so they draw an infinite number of map representations inside their maps.
-
-
Replying to @DeityOfReligion
@DeityOfReligion That sort of map requires 1 more level of transfinite cardinality than the territory it describes.2 replies 0 retweets 1 like -
Replying to @MoralOfStory
@MoralOfStory@DeityOfReligion You betray yourself! You are no set theorist! Nice witty observation IF ONLY IT WERE TRUE2 replies 0 retweets 1 like -
Replying to @ProofOfLogic
@ProofOfLogic@MoralOfStory@DeityOfReligion In fact, even two object-level maps yield uncountably-many nested maps.2 replies 0 retweets 0 likes -
Replying to @ObjectOfObjects
@ObjectOfObjects@MoralOfStory@DeityOfReligion imagine a tree which keeps branching forever, it's still countable (in number of nodes)2 replies 0 retweets 0 likes -
Replying to @ProofOfLogic
@ObjectOfObjects@MoralOfStory@DeityOfReligion the number of PATHS in such a tree would be uncountable.2 replies 0 retweets 0 likes -
Replying to @ProofOfLogic
@ProofOfLogic@MoralOfStory@DeityOfReligion But the number of paths (from root) equals the number of nodes. In any tree.2 replies 0 retweets 0 likes
@ObjectOfObjects @MoralOfStory @DeityOfReligion proof by induction vs proof by transfinite induction.
-
-
Replying to @ProofOfLogic
@ProofOfLogic@ObjectOfObjects@MoralOfStory@DeityOfReligion proof by ignorance and ALL CAPS.0 replies 0 retweets 0 likesThanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.