This article presents an empirical and theoretical critique of the Matrix Language Frame (MLF) model (Myers-Scotton, 1993; Myers-Scotton and Jake, 2001), and includes a response to Jake, Myers-Scotton and Gross's (2002) (JMSG) critique of MacSwan (1999, 2000) and reactions to their revision of the MLF model as a "modified minimalist approach." The author argues that although a new structural definition of the Matrix Language (ML) makes the MLF model falsifiable, its empirical predictions are inconsistent with the facts of codeswitching (CS). The author also identifies significant theoretical problems associated with the MLF model, and suggests that it be rejected on empirical and theoretical grounds, and on grounds of scientific parsimony. In addition, the author contends that JMSG's critique of the Minimalist approach to CS rests on conceptually significant misreadings of published research in CS and in the theory of syntax, and that JMSG fail to motivate their central claim, namely, that a Minimalist approach to CS cannot succeed without incorporating the ML construct. It is further shown that an analysis of the CS facts which JMSG consider as their test case may be straightforwardly pursued within the Minimalist Program without appealing to the ML construct or any other aspect of the MLF model. The author concludes with the recommendation that research on CS depart from the formulation of general CS-specific constraints like the MLF model and engage in the task of analyzing language contact phenomena in terms of independently motivated constructs of linguistic theory.