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In linguistics, converses or relational antonyms are pairs of words that refer to a relationship from opposite points of view, such as parent/child or borrow/lend. [1] [2] The relationship between such words is called a converse relation. [2]
Converse (logic), the result of reversing the two parts of a definite or implicational statement Converse implication, the converse of a material implication; Converse nonimplication, a logical connective which is the negation of the converse implication; Converse (semantics), pairs of words that refer to a relationship from opposite points of view
An auto-antonym is a word that can have opposite meanings in different contexts or under separate definitions: enjoin (to prohibit, issue injunction; to order, command) fast (moving quickly; fixed firmly in place) cleave (to split; to adhere) sanction (punishment, prohibition; permission) stay (remain in a specific place, postpone; guide ...
Converse [e] If R is a relation over sets X and Y then R T = { (y, x) | xRy} is the converse relation of R over Y and X. For example, = is the converse of itself, as is ≠, and < and > are each other's converse, as are ≤ and ≥. Complement [e]
Holonymy (from Ancient Greek ὅλος (hólos) 'whole' and ὄνυμα (ónuma) 'name') is the converse of meronymy. A closely related concept is that of mereology, which specifically deals with part–whole relations and is used in logic. It is formally expressed in terms of first-order logic. A meronymy can also be considered a partial order.
A thesaurus (pl.: thesauri or thesauruses), sometimes called a synonym dictionary or dictionary of synonyms, is a reference work which arranges words by their meanings (or in simpler terms, a book where one can find different words with similar meanings to other words), [1] [2] sometimes as a hierarchy of broader and narrower terms, sometimes simply as lists of synonyms and antonyms.
In the monoid of binary endorelations on a set (with the binary operation on relations being the composition of relations), the converse relation does not satisfy the definition of an inverse from group theory, that is, if is an arbitrary relation on , then does not equal the identity relation on in general.
In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. For the categorical proposition All S are P, the converse is All P are S. Either way, the truth of the converse is generally independent from that of ...