IMPORTANT: This is NOT necessarily related to the user's hardware; after he restarted the game it worked fine. I seem to recall something similar happening to me a while back (though I may be remembering it wrong so don't take my word for it), and I have an NVIDIA graphics card (Alienware laptop). I do not know how to reproduce the bug; it seems to happen randomly.
Attached are nine screenshots, the log file from when the bug was happening, and another log file from after a game restart. The "GL ERROR" appears on both logs, so I'm not sure that's related. I've also attached a manual debug crash log taken later in the same version. Ignore the IndexOutOfBoundsExceptions in normal-log.log; that's due to a bug with /clone that I'll report after this if nobody else has done so.
ALSO: The user who had this problem was not me, but we were in a Skype call when it happened. He didn't want/know how to report the bug, so I did it for him.
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Your Java version is out of date!
On Windows, you can use the Minecraft Installer which includes the latest version of Java.
Otherwise, please manually update your Java to the latest version: http://www.java.com/en/download/.
It is recommended you uninstall any outdated versions prior to upgrading.
When using a 32-bit browser on a 64-bit operating system the automatic version detection will only show the 32-bit version of Java, the 64-bit version needs to be downloaded manually: http://www.java.com/en/download/manual.jsp.
Please report if the issue persists with the latest Java version.
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OpenGL: AMD Radeon HD 6800 Series GL version 4.2.11931 Compatibility Profile Context, ATI Technologies Inc.
Outdated driver. Use current driver: http://support.amd.com/en-us/download/desktop?os=Windows+7+-+32
This is a technical support issue; this site is for bug reports only. For technical support please use the Mojang Support Center.