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In mathematics, a binary relation on a set is reflexive if it relates every element of to itself. [1][2] 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.
Within sociology more broadly—the field of origin— reflexivity means an act of self-reference where existence engenders examination, by which the thinking action "bends back on", refers to, and affects the entity instigating the action or examination. It commonly refers to the capacity of an agent to recognise forces of socialisation and ...
Well-founded relation. indicates that the column's property is always true for the row's term (at the very left), while indicates that the property is not guaranteed in general (it might, or might not, hold). For example, that every equivalence relation is symmetric, but not necessarily antisymmetric, is indicated by.
An example is the relation being a parent: if Tess is a parent of Bob and Bob is a parent of Carol, then it is not automatically the case that Tess is a parent of Carol. [72] Another distinction is between reflexive and irreflexive relations. Reflexive relations are those in which each entity is related to itself.
Total order. In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation on some set , which satisfies the following for all and in : (reflexive). If and then (transitive). If and then (antisymmetric).
Reflective practice is the ability to reflect on one's actions so as to take a critical stance or attitude towards one's own practice and that of one's peers, engaging in a process of continuous adaptation and learning. [1][2] According to one definition it involves "paying critical attention to the practical values and theories which inform ...
Reflexive closure. In mathematics, the reflexive closure of a binary relation on a set is the smallest reflexive relation on that contains A relation is called reflexive if it relates every element of to itself. For example, if is a set of distinct numbers and means " is less than ", then the reflexive closure of is the relation " is less than ...
The book Against Flow: Video Games and the Flowing Subject analyzed how the game attempted to make the player stop and question their reasons for playing the game, something most other games attempted to prevent, noting how while this would be assumed to stop the flow of the game, it instead encouraged it due to the game's self-reflexive nature ...