sentences:  If he had completed the perfect game (83 pitches), it would have been the lowest number of pitches thrown since Addie Joss's 74 in 1908, and the shortest game since Sandy Koufaxs perfect game in 1965.It would have been the second perfect game in the Major Leagues in just four days, Philadelphia's Roy Halladay having thrown his on May 29, and the third in 24 days (Dallas Braden of Oakland on May 9).Joyce later issued a direct apology to Galarraga, saying that the call was incorrect.