Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that Shelah's Eventual Categoricity Conjecture follows from the existence of class many strongly compact cardinals. This is the first time the consistency of this conjecture has been proven.  do so by showing that every AEC with $LS(K)$ below a strongly compact cardinal $\kappa$ is $< \kappa$ tame and applying the categoricity transfer of Grossberg and VanDieren. These techniques also apply to measurable and akly compact cardinals and  prove similar tameness results under those hypotheses.  isolate a dual property to tameness, called \emph{type shortness}, and show that it follows similarly from large cardinals.
['Will Boney']
I am writing a research paper on a idea Tameness from Large Cardinal Axioms
[{"from": "human", "value": "I am writing a research paper on a idea Tameness from Large Cardinal Axioms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  show that Shelah's Eventual Categoricity Conjecture follows from the existence of class many strongly compact cardinals. This is the first time the consistency of this conjecture has been proven.  do so by showing that every AEC with $LS(K)$ below a strongly compact cardinal $\\kappa$ is $< \\kappa$ tame and applying the categoricity transfer of Grossberg and VanDieren. These techniques also apply to measurable and akly compact cardinals and  prove similar tameness results under those hypotheses.  isolate a dual property to tameness, called \\emph{type shortness}, and show that it follows similarly from large cardinals."}]