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Categories: Models of Models

lesswrong.com

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Re: Categories: Models of Models

#2
A new convert joins the fold.

Category theory is indeed what we obtain when we try to seek minimal ontologies, minimal models, etc. but it is interesting that it originally evolved in the context of minimal explanations for natural transformations.

I wonder about the slogan "assume a 3-category" for unifying these desires for a minimal playground upon which we can discuss and relate all of these distinct mathematical concepts.

Re: Categories: Models of Models

#5

A new convert joins the fold. Category theory is indeed what we obtain when we try to seek minimal ontologies, minimal models, etc. but it is interesting that it originally evolved in the context of minimal explanations for natural transformations. I wonder about the slogan "assume a 3-category" for unifying these desires for a minimal playground upon which we can discuss and relate all of these distinct mathematical…

Why a 3-category in particular?