Is it really ironic?

Alanis Morrisette made millions of dollars singing about irony, but didn't really get it right. See for yourself if the examples in her song are actually irony. However, Kurt Vonnegut's short story, "The Lie," contains several strong examples of irony. Consider Dr. Remenzel's words at the beginning of the story and the effect of his actions at the end of the story. How does the irony in Vonnegut's story help enhance its theme?