Use a socio linguistic theory as lens from which to draw the epistemology of the notion of the "language continuum".
One sociolinguistic theory that can be used to understand the notion of the "language continuum" is John Gumperz's theory of contextualization cues. Gumperz argues that language is not just a system of abstract rules and structures, but is deeply embedded in social context and interaction. In this view, speakers draw on a range of contextual cues – such as tone of voice, gestures, and shared knowledge – to shape their understanding of language and communication.
In the context of the language continuum, Gumperz's theory suggests that language exists along a spectrum of varieties and registers, each with its own set of contextual cues that shape meaning and understanding. This continuum ranges from the highly formal and standard varieties of language, to the highly informal and non-standard varieties that are influenced by regional dialects, socio-economic factors, and other social variables.
By viewing language as a continuum shaped by contextualization cues, we can see that there is not a clear distinction between "proper" or "correct" language and "incorrect" or "deviant" language. Instead, all varieties of language have their own set of rules and norms that are shaped by social context and interaction. This understanding challenges traditional notions of linguistic hierarchies and opens up new possibilities for valuing and understanding the diversity of language varieties that exist in the world.