 In the typical case represented by  (5),  S says “Some athletes smoke” and implicates “Not all athletes smoke”. The stronger statement S does not make is “All athletes smoke”. There are countless statements more informative than what S said, however, whose negations were not implicated, including Several athletes smoke, Some athletes smoke regularly, I know some athletes smoke, and 13% of all athletes smoke. The Gricean reasoning could be repeated using any of these stronger statements, with fallacious results. For example: