https://drossbucket.wordpress.com/2019/10/24/the-middle-distance/ … Interesting discussion on what we mean when we say one thing "represents" another, and how you could detect the presence of "representation" empirically
That seems more general than what I would have picked, which would have more of a categorical flavor ("There's a map between A and B such that the parts of A map to parts of B, and the relationships between parts of A also map to the relationships between parts of B")
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(well, both more and less general; the identity isomorphism fits my definition fine but isn't laggy, and indeed a "map" that's just the territory isn't much of a map
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