From WordNet (r) 2.0 [wn]:
noun
1: the lack of a relation of something to the matter at hand [syn: {irrelevancy}] [ant: {relevance}]
From Moby Thesaurus II by Grady Ward, 1.0 [moby-thes]:
74 Moby Thesaurus words for "irrelevance": abnormality, anomaly, disassociation, disconnection, discreteness, disjunction, disjuncture, dissociation, immateriality, impertinence, impropriety, inadmissibility, inapplicability, inappositeness, inappropriateness, inaptitude, inaptness, inauspiciousness, inconnection, inconsequence, inconsequentiality, inconsiderableness, inconvenience, independence, indifference, ineffectuality, inexpedience, infelicity, inferiority, inopportuneness, inopportunity, insignificance, intempestivity, interruption, intrusion, irrelation, irrelevancy, lateness, littleness, low priority, maladjustment, marginality, mesalliance, misalliance, misjoinder, misjoining, mismatch, negligibility, pettiness, picayune, picayunishness, pokiness, prematurity, puniness, secondariness, separateness, slightness, smallness, uncongeniality, unconnectedness, unfavorableness, unfitness, unfittingness, unfortunateness, unimportance, unimpressiveness, unnoteworthiness, unpropitiousness, unrelatedness, unripeness, unseasonableness, unsuitability, untimeliness, wrongness
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