The term non sequitur refers to a conclusion that isn't aligned with previous statements or evidence. In Latin, non sequitur literally means "it does not follow."
A statement that is labeled a non sequitur is one that is illogical. For example, if someone asks what it's like outside and you reply, "It's 2:00," you've just used a non sequitur or made a statement that does not follow what was being discussed.
Non sequiturs are found in everyday conversation and fallacious arguments, and are often used to good effect in literature. Let's take a look at examples of these statements that "do not follow."