Set
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(4)For each set there is a predicate (or property) which is true for (possessed by) exactly those objects which are elements of the set. The predicate may be defined by the set or vice versa. Order and repetition of elements within the set are irrelevant so, for example, 1, 2, 3 = 3, 2, 1 = 1, 3, 1, 2, 2.
Some common set of numbers are given the following names:
N = the natural numbers 0, 1, 2, ...
Z = the integers ..., -2, -1, 0, 1, 2, ...
Q = the rational numbers p/q where p, q are in Z and q /= 0.
R = the real numbers
C = the complex numbers.
The empty set is the set with no elements. The intersection of two sets X and Y is the set containing all the elements x such that x is in X and x is in Y. The union of two sets is the set containing all the elements x such that x is in X or x is in Y.
See also set complement.
Set
a young plant raised for subsequent planting in a garden, park, or similar place. Sets of fruit crops are obtained in fruit nurseries; they are usually produced from grafted seedlings (stocks). Sets of berry crops (currant, gooseberry) are one-year-old nongrafted plants. The root suckers of raspberry plants are used as sets. In forestry, sets are young trees that have been raised from seeds or cuttings.
Set
(also Seth), in ancient Egyptian religion and mythology, a god initially venerated in the city of Ombos and whose cult then apparently spread throughout Upper Egypt and the northwest part of the Nile Delta. Set was considered a god of the desert and of foreign countries. According to Egyptian mythology, he was the brother and murderer of Osiris and was subsequently defeated by Horus, the son of Osiris. He was depicted in the form of an unidentifiable animal.