Official Definition
MLB's rule 10.23(c), defining consecutive game streaks, is as follows: "A consecutive game playing streak shall be extended if the player plays one half inning on defense, or if he completes a time at bat by reaching base or being put out. A pinch running appearance only shall not extend the streak. If a player is ejected from a game by an umpire before he can comply with the requirements of this rule, his streak shall continue."
Thus it is possible for a pinch-runner enter a game and record a statistic—steal a base, be caught stealing, or score a run—without being credited with a (consecutive) game played. Similarly, a fielder can field a ball in play, make a putout or an assist, and even commit an error, without being credited with a (consecutive) game played. For example, Hideki Matsui's consecutive games streak was ended when he broke his wrist diving for a ball with two outs in the first inning of the Yankee game of May 11, 2006. That game would have been #519 in his MLB streak and #1,769 in his MLB/Japan game streak (see below), but since Matsui did not play a full half inning on defense, that game is not counted in his streak. MLB and the Society for American Baseball Research both credit Matsui with having played 518 consecutive MLB games.
Read more about this topic: Major League Baseball Consecutive Games Played Streaks
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