Hungarian Disjunctions and Positive Polarity

The second sentence is ambiguous. It may mean that I suppose we did not close the door or did not close the window, but I am not sure which. This ̀ I am not sure which’ reading is irrelevant to us because it has disjunction scoping over negation. But the sentence may equally well mean (and indeed this is the preferred reading) that we didn’ t close the door and did not close the window. This ̀ neither’ reading bears out de Morgan law (2). Many speakers of Hungarian find that the counterpart of (3) is not ambiguous in the same way. The second sentence in (4) only has the ̀ I don’ t know which’ reading.