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An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity. Along with symmetry and transitivity, reflexivity is one of three properties defining equivalence relations.
In epistemology, and more specifically, the sociology of knowledge, reflexivity refers to circular relationships between cause and effect, especially as embedded in human belief structures. A reflexive relationship is multi-directional when the causes and the effects affect the reflexive agent in a layered or complex sociological relationship.
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. Left quasi-reflexive for all x, y ∈ X, if xRy then xRx. Right quasi-reflexive for all x, y ∈ X, if xRy then yRy. Quasi-reflexive for all x, y ∈ X, if xRy then xRx and yRy. A relation is ...
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] 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 (RHS).
Formal relations, like identity, involve abstract and topic-neutral ideas while material relations, like loving, have concrete and substantial contents. Logical relations are relations between propositions while causal relations connect concrete events. Symmetric, transitive, and reflexive relations are distinguished by their structural features.
According to Erikson’s Stages of Psychosocial Development, a theory developed by psychologist Erik Erikson in the 1950s, there are eight stages of psychosocial development: trust versus mistrust ...
A reflexive and symmetric relation is a dependency relation (if finite), and a tolerance relation if infinite. A preorder is reflexive and transitive. A congruence relation is an equivalence relation whose domain X {\displaystyle X} is also the underlying set for an algebraic structure , and which respects the additional structure.
Promoting Healthy Choices: Information vs. Convenience Jessica Wisdom, Julie S. Downs and George Loewenstein Contact Information: We thank the USDA Economic Research Service and the Center for Behavioral Decision Research at Carnegie Mellon University for financial support, and Howard Seltman, Jay