Definition of "antisymmetric" []

• Of a relation R on a set S, having the property that for any two distinct elements of S, at least one is not related to the other via R. (adjective)

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• "(A world containing such wonders as Borges's Aleph, where parthood is not antisymmetric, might by contrast be finite and yet atomless.)"
• "As already mentioned, however, most contemporary authors are inclined to construe the relation of material constitution as a sui generis, non-mereological relation, or else to treat constitution itself as identity (hence, given (16), as a limit case of an antisymmetric parthood relation; see e.g. Noonan 1993)."
• "Notice that the relation thus defined is asymmetric (rather than antisymmetric): it doesn't permit any object to be existentially dependent upon itself."