Abstract The concept of paradigm has been used extensively in many areas of linguistics throughout the past century, such as language education or historical linguistics. It is therefore quite surprising that paradigms have mostly been disregarded when it comes to cognitive language theories. Recently however, more and more researchers have started to advocate for the introduction of paradigms into cognitivist frameworks to be able to account for certain phenomena in language that would be hard to explain otherwise. But whilst there is agreement on which phenomena could best be explained through the notion of paradigm, there is a lot of disagreement regarding the way in which paradigms would be mentally represented, and how they would relate to the rest of the mental lexicon. This paper will discuss a few reasons to believe that paradigms are part of our grammar, present two previously proposed examples for modelling paradigms from a cognitivist perspective, highlight possible issues regarding their psychological plausibility, and explore how further research on modelling paradigms could be aided through an alternative domain-general approach which proposes that paradigms are cognitively equivalent to non-linguistic categories.