What is the meaning of contradictory?

noun

• Two propositions are contradictories if both cannot be true (or both cannot be false) at the same time.

adjective

• Of words or propositions so related that both cannot be true and both cannot be false.
  • usage: "`perfect' and `imperfect' are contradictory terms"
• That confounds or contradicts or confuses.
  • synonyms: confounding
• In disagreement."the figures are at odds with our findings"; "contradictory attributes of unjust justice and loving vindictiveness- John Morley
  • synonyms: at odds, conflicting, self-contradictory
• Unable to be both true at the same time.
  • synonyms: mutually exclusive