What are the names of the three Fates?

The three Fates in Greek mythology are indeed Clotho, Atropos, and Lachesis. These deities represent the concept of fate and destiny in human life.

Clotho is known as the spinner, responsible for spinning the thread of life, which symbolizes the beginning of each person's existence. Lachesis is the allotter; she measures the length of the thread, determining how long each person will live. Atropos, the oldest of the Fates, is the cutter; she is in charge of cutting the thread, signifying the end of life and thus, the conclusion of one’s destiny. Together, they represent the entire lifespan and the control they exert over human fate.

The other options present names that do not fit the traditional roles of the Fates. Eos is a Titaness associated with dawn, while Clio is a Muse of history, and Thalia and Terpsichore are Muses of comedy and dance, respectively. These figures, while important in mythology, do not pertain to the Fates’ function in determining the fate of individuals.