Phoenix takes its name from the mythical bird said to rise renewed from its own ashes, and the name is used almost entirely for that association with rebirth. It suggests resilience specifically tied to recovery -- not simply enduring hardship, but returning changed by it.
Saturn should be asked for limitation of movements, hiding of secrets, impoverishment of countries, decrease of intentions, temptation of souls and water stagnation. - Picatrix (Andalusia, ~1000.AD)