5

From Jordan Bastian's blog:

Ricciardi said the Jays won't go five years on a new deal for Burnett -- not guaranteed or with any kind of option. Said Braunecker [Burnett's agent]: "I'm not going to say that eliminates them or anybody else. What I will tell you is, as I've maintained for the last two weeks, is if he wants five years, he's getting five years."

So... The Jays won't give him five and he won't take less than five.

Have faith Jays fans, your team is still in the running. JP Riccardi can apparently overcome the laws of logic.