Pronunciation: in-'fi-n&-tE
Lat. infinitas; in, not, finis, the end, the boundary

Function: noun
Inflected Form(s): plural -ties
Date: 14th century
1 a : the quality of being infinite b : unlimited extent of time, space, or quantity
2 : an indefinitely great number or amount <an infinity of stars>
3 a : the limit of the value of a function or variable when it tends to become numerically larger than any preassigned finite number b : a part of a geometric magnitude that lies beyond any part whose distance from a given reference position is finite <do parallel lines ever meet if they extend to infinity> c : a transfinite number (as aleph-null)
4 : a distance so great that the rays of light from a point source at that distance may be regarded as parallel

5 : <geometry> 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.

6 : <math> An unbounded number greater than every Real Number, most often denoted as the symbol,.

Treatment of Infinite Sets. Informally,
, a statement which can be made rigorous using the Limit concept. Similarly, where the notation 0+ indicates that the Limit is taken from the Positive side of the Real Line.

7 : Z   z² + C, the equation for infinity. 


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