Wikipedia identifies Equality references in Science (mathematical equality or logical equality), Social Sciences, Politics (Equality Act), Geography (places named Equality in Alabama, Illinois, Minnesota), and the Media.
Social Equality according to the Wikipedia entry “is a state of affairs in which all people within a specific society or isolated group have the same status in certain respects. At the very least, social equality includes equal rights under the law, such as security, voting rights, freedom of speech and assembly, property rights, and equal access to social goods and services. However, it also includes concepts of economic equity, i.e. access to education, health care and other social securities. It also includes equal opportunities and obligations, and so involves the whole of society.
Social equality requires the absence of legally enforced social class or caste boundaries and the absence of discrimination motivated by an inalienable part of a person’s identity. For example, sex, gender, race, age, sexual orientation, origin, caste or class, income or property, language, religion, convictions, opinions, health or disability must not result in unequal treatment under the law and should not reduce opportunities unjustifiably.
Social equality refers to social, rather than economic, or income equality. “Equal opportunities” is interpreted as being judged by ability, which is compatible with a free-market economy. A problem is horizontal inequality, the inequality of two persons of same origin and ability.”
“Equality has been in regular use in English since C15, from French, égalité, Latin aequalitatem, aequalis, derived from aequus – level, even, just. The earliest uses of equality are in relation to physical quantity, but the social sense of equality, especially in the sense elf equivalence of rank, is present from C15… Equality to indicate a more general condition developed from this but it represented a crucial shift. What it implied was not a comparison of rank but an assertion of a much more general, normal or normative condition. This use is evident in Milton (Paradise Lost, XII, 26):
‘… Not content
With faire equalities, fraternal state.’
… In C18 it was given specific emphasis in the American and French revolutions. What was then asserted was both a fundamental condition – ‘all men are created equal’ – and a set of specific demands, as in equality before the law – that is to say, reform of previous statutory inequalities, in feudal and post-feudal ranks and privileges.” (Williams, Keywords)