That act of the mind by which two notions or ideas
   which are apprehended as distinct are compared for the purpose of
   ascertaining their agreement or disagreement. See 1. The comparison may
   be threefold: (1) Of individual objects forming a concept. (2) Of
   concepts giving what is technically called a judgment. (3) Of two
   judgments giving an inference. Judgments have been further classed as
   analytic, synthetic, and identical.