Large languages, impossible languages and human brains

We aim at offering a contribution to highlight the essential differences between Large Language Models (LLM) and the human language faculty. More explicitly, we claim that the existence of impossible languages for humans does not have any equivalent for LLM making them unsuitable models of the human language faculty, especially for a neurobiologically point of view. The core part is preceded by two premises bearing on the distinction between machines and humans and the distinction between competence and performance, respectively.