What does "infinity" mean?

Additional senses

1. 2.Endless or indefinite number; great multitude; as an infinity of beauties. Broome.
2. 3.(Math.) A quantity greater than any assignable quantity of the same kind. Note: Mathematically considered, infinity is always a limit of a variable quantity, resulting from a particular supposition made upon the varying element which enters it. Davies & Peck (Math. Dict. ).
3. 4.(Geom.) 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. Circle at infinity, an imaginary circle at infinity, through which, in geometry of three dimensions, every sphere is imagined to pass. -- Circular points at infinity. See under Circular.