The Collaborative International Dictionary of English v.0.48:

Socratic \So*crat"ic\, Socratical \So*crat"ic*al\, a. [L.
   Socraticus, Gr. ????.]
   Of or pertaining to Socrates, the Grecian sage and teacher.
   (b. c. 469-399), or to his manner of teaching and
   philosophizing.
   [1913 Webster]

   Note: The Socratic method of reasoning and instruction was by
         a series of questions leading the one to whom they were
         addressed to perceive and admit what was true or false
         in doctrine, or right or wrong in conduct.
         [1913 Webster]