'On the contrary' definitions:

Definition of 'on the contrary'

From: WordNet
adverb
Contrary to expectations; "he didn't stay home; on the contrary, he went out with his friends" [syn: contrarily, to the contrary, contrariwise, on the contrary]

Definition of 'On the contrary'

From: GCIDE
  • Contrary \Con"tra*ry\, n.; pl. Contraries.
  • 1. A thing that is of contrary or opposite qualities. [1913 Webster]
  • No contraries hold more antipathy Than I and such a knave. --Shak. [1913 Webster]
  • 2. An opponent; an enemy. [Obs.] --Chaucer. [1913 Webster]
  • 3. the opposite; a proposition, fact, or condition incompatible with another; as, slender proofs which rather show the contrary. See Converse, n., 1. --Locke. [1913 Webster]
  • 4. (Logic) See Contraries. [1913 Webster]
  • On the contrary, in opposition; on the other hand. --Swift.
  • To the contrary, to an opposite purpose or intent; on the other side. "They did it, not for want of instruction to the contrary." --Bp. Stillingfleet. [1913 Webster]