You can pause the game by pressing "esc" button while playing. esc button is menu (?) button. Then, the world will stop until you press the esc again and the player "play" it. But on the server, this would not work (even thought it goes to the menu, the player, mobs, etc will move). I hope this will help you :D
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Minecraft saves automatically every 5 seconds, or when you pause the game
In order to paues minecraft you have to press esc. To pause it which it will bring up options for game controo.
Simply press the 'esc' key.
Normally the Start button will pause a game, but the console can be closed, which will put it into sleep mode and pause the game.
Go to the pause menu thing then press 'P' or 'Pause Game' XP