Hesiod, in the Theogony, calls it "deep-eddying Eridanos" in his list of rivers, the offspring of Tethys and Oceanus. Herodotus suspects the word Eridanos to be essentially Greek in character, and notably forged by some unknown poet, and expresses his disbelief in the whole concept—passed on to him by others, themselves not eye witnesses—of such a river flowing into a northern sea, surrounding Europe, where the mythical Amber and Tin Isles were supposed; he upholds the belief in the abundance of natural goods at the world's ends though, to be found in the north of Europa as well as in India (east: big animals, gold, cotton) and Arabia (south: incense, myrrh, etc.). The Eridanos was later associated with the river Po, because the Po was located near the end of the Amber Trail.
According to Apollonius of Rhodes and Ovid, amber originated from the tears of the Heliades, encased in poplars as dryads, shed when their brother, Phaethon, died and fell from the sky, struck by Zeus' thunderbolt, and tumbled into the Eridanos, where "to this very day the marsh exhales a heavy vapour which rises from his smouldering wound; no bird can stretch out its fragile wings to fly over that water, but in mid-flight it falls dead in the flames"; "along the green banks of the river Eridanos," Cygnus mourned him—Ovid told—and was transformed into a swan. There in the far west, Heracles asked the river nymphs of Eridanos to help him locate the Garden of the Hesperides. Strabo commented disregardingly on such mythmaking:
When in Nonnus' fourth- or fifth-century CE Dionysiaca the vast monster Typhon boasts that he will bathe in "starry Eridanus", it is hyperbole, for the constellation Eridanus, represented as a river, was one of the 48 constellations listed by the second-century astronomer Ptolemy; it remains one of the 88 modern constellations.
There have been various guesses at which real river was the Eridanos: these include the Po River in north Italy, and the Rhone, in France. The Eridanos is mentioned in Greek writings as a river in northern Europe rich in amber. A small river near Athens was named Eridanos in ancient times, and has been rediscovered with the excavations for construction of the Athens Metro.