Thought-terminating cliches

A thought-terminating cliché is a commonly used phrase, sometimes passing as folk wisdom, used to quell cognitive dissonance. Though the phrase in and of itself may be valid in certain contexts, its application as a means of dismissing dissent or justifying fallacious logic is what makes it thought-terminating.
  • "Whatever."
  • "We will have to agree to disagree."
  • "I'm just sayin'."
  • "Such is life."
  • "Think about it."
  • "God works in mysterious ways."
  • "Love it or leave it."
  • "That's a conspiracy theory."

Many more examples at Wikipedia.