I think the structures within categories come and go as needed. I’m using structure as a synonym for “set” in set theory basically. How does a category ‘hold’ 0 or more items? It has a structure.

 I think the structures within categories come and go as needed.
I’m using structure as a synonym for “set” in set theory basically.
How does a category ‘hold’ 0 or more items? It has a structure.
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A concept is a theory of a category for me and I don’t have a go-to theory for actual vs whatever its antonym is so a category of ‘actual’ doesn’t click unless it’s explained.
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  • oh, well, there’s still a placeholder for it in the structure of the category whether there’s a moon in that structure or not.
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  • Set might be empty or have members in other words.
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