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symmetric relation

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antisymmetric relation

Overview page. Subjects: Computing.

A relation R defined on a set S and having the property that

whenever x R y and y R x

then x = y

where x and y are arbitrary members of S....

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asymmetric relation

Overview page. Subjects: Computing.

A relation R defined on a set S and having the property that

whenever x R y

then it is never the case that

y R x

where xnull...

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equivalence relation

Overview page. Subjects: Mathematics — Philosophy.

A relation that is transitive, symmetric, and reflexive. The concept is a convenient generalization or abstraction of equality. It covers most notions of equals, equivalence, and similarity...

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relation

Overview page. Subjects: Philosophy.

Philosophically relations are interesting because of the historic prejudice, given its most forceful expression by Leibniz, that they are somehow ‘unreal’ compared to the intrinsic, monadic...

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