In*fin"i*ty (?), n.; pl. Infinities (#). [L. infinitas; pref. in- not + finis boundary, limit, end: cf. F. infinité. See Finite.]

1. Unlimited extent of time, space, or quantity; eternity; boundlessness; immensity. Sir T. More.

There can not be more infinities than one; for one of them would limit the other.

2. Unlimited capacity, energy, excellence, or knowledge; as, the infinity of God and his perfections. Hooker.

3. Endless or indefinite number; great multitude; as an infinity of beauties. Broome.

4. (Math.) A quantity greater than any assignable quantity of the same kind.

&fist; 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.).

5. (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.

• Limitlessness, unlimitedness, something which is growing without limits or bounds.
  
• A number that has an infinite, uncountable numerical value.
  
• A number which is very large compared to some characteristic number. For example, in optics, an object which is much further away than the focal length of a lens is said to be "at infinity", as the distance of the image from the lens varies very little as the distance increases further.