(1):
(n.) A quantity greater than any assignable quantity of the same kind.
(2):
(n.) That part of a line, or of a plane, or of space, which is infinitely distant. In modern geometry, parallel lines or planes are sometimes treated as lines or planes meeting at infinity.
(3):
(n.) Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity.
(4):
(n.) Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections.
(5):
(n.) Endless or indefinite number; great multitude; as an infinity of beauties.