vacuously

adverb2

1. •
   In a vacuous manner, lacking thought.

   • 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!" […] — 1915
2. •
   Because of being a vacuous truth.

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