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)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "antisymmetric" in a sentence
"(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."