Today's Aurora, 24.0a2 (2013-08-05) has no usable console.
actually it's all of our tools. Inspector, Debugger, Profiler, ...
Rob, is it Firefox 24 Beta or Firefox 25 Aurora? I just pulled the Firefox aurora repo and did a local build. All tools work for me. User agent is: Mozilla/5.0 (X11; Linux x86_64; rv:25.0) Gecko/20100101 Firefox/25.0. I find the Gecko date confusing. Help > About shows Firefox 25.0a2 2013-08-06 which is correct.
Firefox 24 (as said in C#0). Retested with a clean profile and it appears to work. Something funky about my devtools profile.