Democratic Sen. Elizabeth Warren is starting a publicity tour for her new campaign-style book, A Fighting Chance. As she talks to the press, Warren is repeating previous statements that she will not run for president in 2016. But her denials aren’t really denials, and her party’s unique presidential circumstances give Warren plenty of room to run. Judging by what she has said publicly, there’s no reason to rule out a Warren candidacy.

First, the non-denial denials. This week ABC’s David Muir asked Warren, “Are you going to run for president?” Warren’s response was, “I’m not running for president.”