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Mar 19, 2019 at 15:46 comment added eulerfx Maybe related, Maurice Herlihy uses Sperner's Lemma, along with other topological tools, to prove impossibility of distributed consensus in The Topological Structure of Asynchronous Computability.
Mar 18, 2019 at 19:00 comment added Noah Schweber There seems to be an existing literature on topological semantics and provability logics. Thomas Icard has slides on this, and the Stanford Encyclopedia of Philosophy has a bit on the topic. I'm not sure how related this is to the specific topological/geometric intuitions you give here, but it might be of interest more broadly.
Mar 18, 2019 at 18:09 history asked Dan Piponi CC BY-SA 4.0