NEW YORK — Time Warner Cable Inc., the country's second-largest cable company, lost more cable-TV subscribers in the latest quarter than it ever has before, keeping the question alive of whether Internet video is finally starting to cut into the cable business.

Cable executives have so far dismissed the idea that "cord-cutting" is due to the encroachment of the Internet — high-end TVs now come with the built-in ability to watch Internet movies and TV shows — and blamed the speedup in subscriber flight on the weak economy.