The Collaborative International Dictionary of English v.0.48:
Irreversibility \Ir`re*vers`i*bil"i*ty\, n. The state or quality of being irreversible; irreversibleness. [1913 Webster]WordNet (r) 3.0 (2006):
irreversibility n 1: the quality of being irreversible (once done it cannot be changed) [ant: reversibility]