Supreme Court Justice Ruth Bader Ginsburg was hospitalized Thursday after she fell ill while at the court, the Associated Press reported Thursday night.Ginsburg, 76, was taken to Washington Medical Center in the evening after she became faint following a treatment for an iron deficiency.In a statement, the court said Ginsburg “developed lightheadedness and fatigue” following the treatment and had a slightly low blood pressure. Although she is in stable condition, the justice was taken to the hospital as a precautionary measure.Ginsburg was diagnosed with pancreatic cancer in February. Although she quickly returned to work on the court, that type of cancer has a low survival rate, and her illness prompted a round of speculation of whom President Barack Obama may nominate to replace her, should she no longer be able to serve.Ginsburg’s return to work, the fact that she has been in good health and the retirement of Justice David Souter quickly tamped down that speculation.Ginsburg’s latest illness will likely increase speculation in Washington that Obama may be on the verge of making his second Supreme Court nomination. Earlier this month, court observers and others were taken by surprise when Justice John Paul Stevens hired only one clerk, rather than the normal two or three. That was taken as a signal by many that Stevens is preparing to retire sometime in the next year.