Watson: So Sherlock... would you like to give your answers?
Sherlock: Yes watson, Its as elementary. For once I realised tha....
Batman: ARG!!!!
*Batman throws a batarang, which promptly hits Sherlock in the head...*
Watson: Well I guess batman is disqualified.. Violence doesn't solve myst...
Batman: ARG!!!!
They are both the best in their place and time, put both in an envivorment they don`t know and I`ll give Holmes the nod (even if some of the science he used has later been proven outdated and wrong).
By the way some claim the Question is better than Batman at detective work. I don`t know jack about him but is he that good?
Bruce doesn't have any Sherlock (Downey, Cumberbatch, Jonny Lee Miller) deductive reasoning or intuition feats. Sherlock rolls hard 20s on all his Spot, Gather Information, Sense Motive and Knowledge checks. He's hax.
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I've read 4 Sherlock novels, a majority of the memoirs and adventures of Sherlock Holmes short stores, I also own both Downey films
In the entire canon of the character Holmes has done nothing to put himself on Bruce's level of deductive reasoning and intellect. Bruce literally looked at Martian and deduced that he was a telepath with no prior knowledge or any physical signs. When the League recently fought Amazo he deduced that he was repairing himself with nanites, again with no physical signs or prior knowledge, even baffled Superman. This is all without tech also.
Someone might say that it isn't a fair comparison because Holmes doesn't have aliens and robots running around his world. Irrelevant, even for regular humans Holmes has never deduced and retrieved so much information in the span of a few seconds, without any physical signs or clues to work with. This is coming from someone who's read Sherlock Holmes for over a decade now.
Truth is even Nightwing and Question are better detectives than Holmes is. Dick while sitting at home in his underwear can solve cases of America's most Wanted just by watching it on TV.
I'm sorry, but perhaps you want to read those stories again. That, and your post. Figuring out traits of another person, without relying on "physical signs or prior knowledge" is not called deduction, it's called guessing. The only way those feats count in Batman's favor for this thread is if there were physical signs that he observed, which were too minuscule to be noticed by others... and in that case, Sherlock has deduced much, much more information about others after just a moment's glance, than Batman did in either example.
One more thing to consider: Watson specifically tells us cases that he believes make for good stories- a closer re-read will show you that the vast majority of the cases Sherlock listens to, he solves without leaving his apartment. So no, Dick isn't better than Holmes either.