64 There is another sense in which the term is used and that is where a decision-maker has made a discernable independent error of law such as, for example, acting for an improper purpose, acting under dictation, taking into account an irrelevant consideration or failing to take into account a relevant consideration: see Lord Greene MR's judgment in Associated Provincial Picture Houses Ltd v Wednesbury Corp [1947] EWCA Civ 1; [1948] 1 KB 223 at 229 - 230. There appears to be a further ground of review that does not, or may not, overlap with unreasonableness in the traditional sense and that is review on the basis of irrationality or illogicality: Re Minister for Immigration and Multicultural Affairs; Ex parte Applicant S20/2002 [2003] HCA 30; (2003) 77 ALJR 1165 at [73] - [74] per McHugh and Gummow JJ and [142] - [146] per Kirby J. However, this seems to be an umbrella concept that provides a unifying principle for the specific errors to which I have referred. Further, it may provide a basis on which findings of fact leading to the exercise of discretion can be challenged. There is a difference of opinion as to whether traditional Wednesbury unreasonableness can be used to challenge grossly unreasonable fact finding: Peko-Wallsend at 41; Minister for Immigration and Multicultural Affairs v Eshetu (1999) 197 CLR 611 at 626, 656 - 657. However, on any view, an error of fact does not of itself vitiate a discretionary decision.