It's an indirect question following the interrogative ut, which takes the subjunctive: Surely you see how... For ut used in this way, see its Lewis & Short entry.


The practice of using deponent participles in a passive sense occurs with other verbs besides obliscor, as noted by Ethan Allen Andrews and Solomon Stoddard in A Grammar of the Latin Language: For the Use of Schools and Colleges: The perfect participles of some deponent verbs have both an active and a passive sense; as, adeptus libertatem, having obtained ...


Lewis and short cite this very passage as an example of oblisci being used passively. So there's your answer, "forgotten songs": http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.04.0059%3Aentry%3Dobliviscor


Accepting the kind invitation by Ben (Sententiam tuam de passiv[a] resultativ[a] audiendi studiosus sum), here is my opinion on how to analyze oblita carmina (sunt is omitted) in this example. As I told to him and to Draconis (see here), oblita is better interpreted here as an adjectival/resultative participle rather than as a verbal/eventive passive ...

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