Spider-Man is a fictional Marvel Comics superhero. One of his abilities is to react to danger quickly with his "spider-sense."
Major John Sheppard referred to the instinct he has as a "spidey-sense", in reference to Spider-Man, and also jokingly labelled Sgt. Bates' distrust of Teyla Emmagan with this name, because of Bates' lack of proof. (SGA: "Suspicion", "Submersion", "Harmony")
Sheppard tries to convince Dr. Elizabeth Weir to let him use the Ascension machine, which gave Dr. Rodney McKay advanced evolutionary super powers (high intelligence, healing, telekinetic and telepathic abilities), on himself. In regards to that, he says "with great power, comes great responsibility, I know" to Weir, referring to Spider-Man. (SGA: "Tao of Rodney")