Note that there's some discussion on just what Eliezer means by "logic all the way down" over on Rationally Speaking: http://rationallyspeaking.blogspot.co.uk/2013/01/lesswrong-on-morality-and-logic.html . Seeing as much of this is me and Angra Maiynu arguing that Massimo Pigliucci hasn't understood what Eliezer means, it might be useful for Eliezer to confirm what he does mean.