What is required on a motion to dismiss a complaint to treat as true plaintiff's factual allegations?

It is required on a motion to dismiss a complaint to treat as true plaintiff's factual allegations, Fifth Avenue Peace Parade Comm. v. Gray, 480 F.2d 326, 331 (2d Cir.1973) (on "a motion to dismiss on the pleadings, the allegations of the complaint * * * had to be accepted as true"), and to dismiss only if "it appears beyond doubt that plaintiff can prove no set of facts in support of his claim which would entitle him to relief", Conley v. Gibson, 355 U.S. 41, 45-46, 78 S.Ct. 99, 102, 2 L.Ed.2d 80 (1957). The majority, however, finds it difficult to hold to these fundamentals, variously characterizing plaintiffs' allegations as "border[ing] on the specious", "frivolous", and "conclusory". When a proper lens is used to view plaintiffs' complaint, however, a far different picture emerges.