What do you call this type of statement?

Assume someone says, "When individual investors enter the market, I know it's time to get out." The speaker is making a serious statement -- yet he is an "individual investor" himself.

What do you call this type of statement? It sounds like hypocrisy or irony, but neither term is on target.


Perhaps the term you are looking for is contradictory statement. Note that Cerberus makes a useful comment below.

You might also consider paradoxical statement.


Another possibility, if you don't like the connotations of "contradictory", would be to call it a self-negating statement, along the lines of Groucho Marx's "I refuse to join any club that's willing to accept me as a member."