Sherlock revels his insecurity over the book Watson has started writing about him.
Sherlock challenges Kazmir to an arm wrestling match in order to help with the case.
Sherlock locates the body that fits the mystery hand.
Kitty helps the Captain Gregson deal with his problem regarding his daughter.
Kitty assures Sherlock that if doesn't want her to read Watson's book then she won't do it.
Sherlock expresses his disappointment with his new assistance who didn't do what he instructed her to do..
A math genius, who is part of Sherlock's network of "irregulars" experts, stumbles upon a body while participating in a math puzzle competition. Meanwhile, Holmes reaches out to Kitty, after she learns about Kitty's past.
Watson and Kitty do some investigating of their own.
Season 3 begins with Holmes returning to New York City with a new apprentice and a renewed interest in working with the NYPD after being fired by London's MI6. Unfortunately, Joan, the NYPD's new go-to private investigator, must give her approval first before Sherlock can resume consulting for the department.
Holmes investigates when a groundbreaking artificial intelligence software program is stolen, but he enlists Joan's help after he becomes more interested in disproving the computer's abilities than in tracking down the thief. Meanwhile, Joan confronts Sherlock about his motives when she learns he has contacted her boyfriend without her knowledge.
After spending hours contemplating what he should do with the murder case, Sherlock finds himself stuck not knowing what his next move is.
Bella is safe but her creator, Edwin, is not.
Sherlock gets caught up trying to figure the logic of a computerized doll.
Sherlock explains to Watson why he likes her boyfriend and why he only wants the best for him.
Sherlock discovers that Edwin was murdered.
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