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Chobbes ,

I kind of feel like “untyped” is a term that doesn’t really have a proper definition right now. As far as I can tell when people say “untyped” they usually mean it as a synonym for whatever they consider “dynamically typed” to mean (which also seems to vary a bit from person to person, haha). Sometimes people say assembly is untyped exactly for this reason, but you could also consider it to have one type “bits” and all of the operations just do things on bits (although, arguably different sized registers have different types). Similarly, people sometimes consider “dynamically typed languages” to just be “unityped” (maybe monotyped is more easily distinguished from untyped, haha) languages at their core, and if you squint you can just think of the dynamic type checks as a kind of pattern matching on a giant sum type.

In some sense values always have types because you could always classify them into types externally, and you could even consider a value to be a member of multiple types (often programming languages with type systems don’t allow this and force unique types for every value). Because you could always classify values under a type it feels kind of weird to refer to languages as being “untyped”, but it’s also kind of weird to refer to a language as “typed” when there isn’t really any meaningful typing information and there’s no type system checking the “types” of values. Types sort of always exist, but also sort of only exist when you actually make the distinctions and have something that you call a “type system”… In some sense the distinction between static and dynamic typing is sort of an arbitrary implementation detail too (though, of course, it has impacts on the experience of programming, and the language design makes a bit of a difference in terms of what’s decidable :) (and obviously the type system can determine what programs you consider to be “valid”)… But you can absolutely have a mix of static type checking and dynamic typing, for instance… It’s all a little more wishy washy than people tend to think in my opinion).

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