Why Jews Pray Three Times a Day

Jewish people have three daily prayer services. The first is Shacharit (the morning prayer), then Minchah (the afternoon prayer), and finally Maariv (the evening prayer.) But from another perspective, one can argue that since the Jewish day begins at sundown, the first prayer is really the evening prayer. Does it make a difference if we view the order of the prayers as morning/afternoon/evening or as evening/morning/afternoon?