(...) For example, if a ref mistakenly cards a players for a foul that was committed by another player, the card is usually rescinded afterwards. Why not do it with a goal that was clearly not a goal? Isn't the awarding (or non-awarding) of a goal a more important event than a booking?
If I recall, wasn't the final score 2-1? Would it be a bad idea to simply change the result to 1-1? There is no law of nature preventing the final score of a match to be changed in the face of indisputable evidence. I know there are many complications, but I am not at all convinced that the spirit of the game is being done justice here.
Good point about the cards. On the match, I would have preferred to let it be counted 1-1, too, rather than a second match for some reasons.
On the other hand, people might argue about every decision where a TV camera shows the opposite (just like
takao said). But then again a goal is more important. Is it? If someone goes off, because of a red card and that changed the game... hm. Then again there are situations like the WC match, where Germany won 4:2 against England and one was false (though I am inclined that would not have changed something

) or the match were I think a goal by croatia in the EC was cleared by a defender behind the box line...
(...) to prevent any big further "green table" discussions, lawsuits and what-not
(...)
i think every football fan would rather see a rematch but on the other side i would rather prefer a discussion about if the rules should be improved to prevent such cases in the future:
-referees are required to check the nets before the game and after the break... why didn't they find the hole ?
-also the home team is required to provide goals fitting regulation, so hoffenheim as the home team also shares part of the blame
I agree.
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on Qatar:
Meanwhile the president of the heading German labour union has send a protest letter to labour unions of those countries that are in the FIFA executive committee and wants them to enforce the FIFA to make sure conditions in Qatar meet the ILO standards. He said that the head of the DFB has allready said, he will directly talk to the FIFA and he expects the other national football organisations to join until November, 25th.
Wonder, if the other countries will join and if, I can't imagine the FIFA to give a sh** about it or they will say, they will take care about the issue and nothing will happen.
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Stoke City goal keeper's goal. Does anybody know how that ended?
http://www.youtube.com/watch?v=-tv-n4XtYHQ