Years ago, Charlie, a highly respected orthopedist and a mentor of mine, found a lump in his stomach. It was diagnosed as pancreatic cancer by one of the best surgeons in the country, who had developed a procedure that could triple a patient's five-year-survival odds—from 5% to 15%—albeit with a poor quality of life.

Charlie, 68 years old, was uninterested. He went home the next day, closed his practice and never set foot in a hospital again. He focused on spending time with his family. Several months later, he died at home....