While the particular measure of poverty may be in question, and in general poverty may be a tricky intuitive concept to nail down, the entire conversation is not thrown into doubt: We can quibble all day about the meaning and quantification of terms, but the underlying intuitive concept is what is important. I think we can agree that poverty in the US has not been eradicated -- although theoretically it seems possible given increases in productivity.
Has increased productivity and economic growth really 'trickled' down as some would argue? It would seem not, as wages have not increased proportionally with productivity [1]. It is at least worth thinking about the author's conclusion: "You also have to devise strategies that make the benefits of a stronger economy show up in the wages of the people on the edge of poverty, who need it most desperately."
[1] http://economics.stanford.edu/files/Theses/Theses_2007/Sachd...