Both Uses

immortal
in
Utopia, by Thomas More
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These are their religious principles:—That the soul of man is immortal, and that God of His goodness has designed that it should be happy; and that He has, therefore, appointed rewards for good and virtuous actions, and punishments for vice, to be distributed after this life.†
They think that the souls of beasts are immortal, though far inferior to the dignity of the human soul, and not capable of so great a happiness.†
*

Definitions:

(1) (immortal)
living or existing forever

or:

someone famous throughout history

or:

someone who will never die -- such as a mythological god
(2) (meaning too rare to warrant focus)
More rarely, "The Immortals" denotes a military corps of the Persian Empire. The Immortals were so-named because each time a member of the 10,000 man corps was killed or seriously wounded, he was replaced by another man. They are best remembered in western culture for their role in defeating the badly out-numbered Spartans at the Battle of Thermopylae.