wow model theorists are wild
projecteuclid.org/euclid.ndjfl/1
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i'm still lowkey working slowly in the background on a long-term project to understand what the hell entropy is and "the logarithm of the cardinality of a nonstandard finite set" is actually kinda relevant to that i think
i don't have very clean formulations of anything yet or i'd just write them down but for starters,
1) there's no such thing as entropy, only relative entropy (KL divergence); entropy as normally understood is relative entropy wrt the uniform distribution (on a finite set)
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And this one, relating entropy to formal group laws arxiv.org/abs/1407.3807
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