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Basic properties about equality like reflexivity, symmetry, and transitivity have been understood intuitively since at least the ancient Greeks, but weren't symbolically stated as general properties of relations until the late 19th century by Giuseppe Peano.
Racial equality and ethnic equality include social equality between people of different races and ethnic origins. Social equality can also be applied to belief and ideology, including equal social status for people of all political or religious beliefs. The rights of people with disabilities pertain to social equality. Both physical and mental ...
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
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
The equality relation is the only example of a both reflexive and coreflexive relation, and any coreflexive relation is a subset of the identity relation. The union of a coreflexive relation and a transitive relation on the same set is always transitive.
Weighing scales often symbolize equality before the law. Egalitarianism (from French égal 'equal'; also equalitarianism) is a school of thought within political philosophy that builds on the concept of social equality, prioritizing it for all people. [1]
Equality is both an equivalence relation and a partial order. Equality is also the only relation on a set that is reflexive, symmetric and antisymmetric. In algebraic expressions, equal variables may be substituted for one another, a facility that is not available for equivalence related variables. The equivalence classes of an equivalence ...
The ancient Greek philosophers Plato and Aristotle debated economic equality. Painting by Raffaello Sanzio (1509). According to professor of politics Ed Rooksby, the concept of equality of outcome is an important one in disputes between different political positions, since equality has overall been seen as positive and an important concept that is "deeply embedded in the fabric of modern ...