(Greek) In the pure esoteric tradition (not the modern, degenerated remnants), hermaphrodite means "a child of Hermes and Aphrodite" (Herm-Aphrodite), one who physically develops the brain power, objective reasoning (Hermes) by means of the transmutation of its own sexual libido (Aphrodite).
Physically, hermaphrodite refers to the human being of the Lemurian epoch, who developed both male and female sexual organs and characteristics in the physical body and who was capable of reproducing its species without the necessity of sexual intercourse. A true hermaphrodite produces both sperm and ovum, and reproduces by fecundating one egg with one sperm.
Esoterically, the word hermaphrodite can refer to those who have developed spiritually the the point that they no longer requires sexual cooperation.
"Let us clarify here that when we talk about hermaphrodites, we are talking about perfect androgynous beings, and not about those degenerated homosexuals of this day and age." - Samael Aun Weor, Kabbalah of the Mayan Mysteries