In mathematics, a relation R on a set S is reflexive iff for every element x in S, x R x (or ``x is related to itself under R'').

Re*flex"ive (-?v), a.

1. [Cf. F. r'eflexif.]

Bending or turned backward; reflective; having respect to something past.

Assurance reflexive can not be a divine faith. Hammond.

2.

Implying censure.

[Obs.] "What man does not resent an ugly reflexive word?"

South.

3. Gram.

Having for its direct object a pronoun which refers to the agent or subject as its antecedent; -- said of certain verbs; as, the witness perjured himself; I bethought myself. Applied also to pronouns of this class; reciprocal; reflective.

-- Re*flex"ive*ly, adv. -- Re*flex"ive*ness, n.

 

© Webster 1913.

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