The convergence of complementary and alternative medicine (CAM) and evidence-based medicine (EBM) is a prominent feature of healthcare in western countries, but it is currently undertheorised, and its implications have been insufficiently considered. Two models of convergence are described – the totally integrated evidence-based model (TI) and the multicultural-pluralistic model (MP). Both models are being incorporated into general medical practice. Against the background of the reasons for the increasing utilisation of CAM by the public and by general practitioners, TI-convergence is supported and MP-convergence is rejected. MP-convergence is epistemologically and clinically incoherent, and it cannot be regulated. It is also inconsistent with developments in the legal determination of the standard of care for both diagnosis/treatment and disclosure. These claims concerning MP-convergence are justified by the fact that science is not a member of the group of perspectives or world-views which postmodernism treats as equally valid, and this is especially important for healthcare.