Will Adkisson : Rank-Into-Rank Cardinals: An Exercise in Set-Theoretic Blackjack

Posted by William Adkisson , part of the Louise Hay Logic Seminar.

At

Oct. 15, 2020, 4 p.m.

In

Zoom

Abstract

Set-Theoretic Blackjack is a game for two or more players. The rules are simple: each player independently defines a new large cardinal hypothesis. Each player in turn presents their large cardinal, while the other players attempt to prove that it is inconsistent with ZFC. The player with the strongest large cardinal hypothesis that was not proven to be inconsistent is the winner. Variant Rule: Choiceless Blackjack. The rules are the same, except that to go bust, a player's cardinal must be proven inconsistent with ZF, rather than ZFC.