Should laws prohibit health care workers who have a communicable, incurable disease from being employed in the health care field?

Should laws prohibit health care workers who have an incurable communicable disease from being employed in the health care field?

Pro: Health care workers who have an incurable communicable disease are a threat to the patients they care for.

Con: In some cases, health care workers who have an incurable communicable disease are not a threat to the patients they care for. Employers ought to consider the nature of the disease and, especially, how the disease is transmitted. For some diseases, the risk of transmission is very low.

Con: Banning health care workers who have an incurable communicable disease from employment in the health care field would create undue alarm for the rest of society regarding the disease.