AI in medicine and healthcare is getting great traction and attention but often because of bold, and sometimes unjustified, claims magnified by media coverage. In this talk, Hector will cover some of the very important challenges and limitations of AI in medicine and healthcare and how to take a responsible approach using approaches from neurosymbolic computation as opposed to simply statistical machine learning. He will introduce the work that we have done and continue doing at the Karolinska Institute and Oxford Immune Algorithmics to make the introduction of AI in medicine and healthcare more responsible.