vacuously

vacuous +‎ -ly

vacuously (comparative more vacuously, superlative most vacuously)

1. In a vacuous manner, lacking thought.
   • 1915, Jack London, The Little Lady of the Big House:

     Here, in distress that was consternation, and in fear that was panic, excitedly bobbed up and down a cowboy in bearskin chaps, vacuously repeating the exclamation, "Oh God! Oh God!" […]

   • 1938, Norman Lindsay, Age of Consent, 1st Australian edition, Sydney, N.S.W.: Ure Smith, published 1962, →OCLC, page 211:

     He scowled vacuously, keeping at bay a horrible enlightenment on the mechanism of effort, which must drive into being a resistance equal to itself.

2. (logic) Because of being a vacuous truth.

   The statement is vacuously true because P is false and P implies Q.