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In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] [2] Equality between A and B is written A = B, and pronounced "A equals B". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side ...
The first use of an equals sign, equivalent to 14x+15=71 in modern notation.From The Whetstone of Witte (1557) by Robert Recorde. Recorde's introduction of "=" Before the 16th century, there was no common symbol for equality, and equality was usually expressed with a word, such as aequales, aequantur, esgale, faciunt, ghelijck, or gleich, and sometimes by the abbreviated form aeq, or simply æ ...
To investigate the left distributivity of set subtraction over unions or intersections, consider how the sets involved in (both of) De Morgan's laws are all related: () = = () always holds (the equalities on the left and right are De Morgan's laws) but equality is not guaranteed in general (that is, the containment might be strict).
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Equality of outcome, in which the general conditions of people's lives are similar; Substantive equality, Equality of outcome for groups; For specific groups: Gender equality; Racial equality; Social equality, in which all people within a group have the same status; Economic inequality; Equality Party (disambiguation), several political parties
In this sense, the word is always used in the plural, but singular in construction. Note that a single house or a single other piece of property is "premises", not a "premise", although the word "premises" is plural in form; e.g.
All men are by nature equally free and independent. Such equality is necessary in order to create a free government. All men must be equal to each other in natural law. Jefferson also may have been influenced by Thomas Paine's Common Sense, which was published in early 1776: Benjamin Franklin by Joseph Duplessis, 1778. He is credited with ...
In the Foundations of Arithmetic, Gottlob Frege associated the number one with the property of being self identical. Frege's paper "On Sense and Reference" begins with a discussion on equality and meaning. Frege wondered how a true statement of the form "a = a", a trivial instance of the law of identity, could be different from a true statement ...