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Comment by mathisfun123

what is the substance of this complaint?

if i pull the API for django or react or ...anything else, how much should i be expected to understand without any prior exposure? how is "domain-specific gibberish" any different? you make up words to represent groups of other words in order to capture concepts. it's literally just how language works.

let me translate for you:

proof assistant: program that checks your work (writing a proof) and helps you find new proofs.

synthetic: math where the axioms "represent" the objects instead of the other way around (they're "synthesized" from the objects)

1-category: a collection with objects and functions between them

2-category: a collection with objects, functions between them, and functions between those functions (called homotopies)

k-category: you get the idea

∞-category: the limit as k -> ∞

second-order abstract syntax which is great for lambda extraction: syntax specifically suited for this kind of stuff

and you know what? even though i am not a category theorist i was able to figure this out. you know how? i quickly skimmed the "docs" https://ncatlab.org/nlab/show/synthetic+%28infinity%2C1%29-c...

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