James Bernoulli was a prominent mathematician and member of the Bernoulli family, known for their contributions to calculus and probability theory. Synonyms for his name would include "Jacob Bernoulli," his older brother and fellow mathematician, "Jacques Bernoulli," the French translation of his name, and "Johann Bernoulli," his nephew and student. Additionally, James Bernoulli is often referred to simply as "Bernoulli" in mathematical literature, as he was one of many distinguished members of the Bernoulli family who made significant contributions to the field of mathematics. Despite his success and recognition in the field, James Bernoulli lived a relatively short life, passing away at the age of 49.