The difference between PSK and SSK also comes up in chess.
Witness these events taking place yesterday in the Tal Memorial
chess festival in Moscow:

Morozevich-Carlsen was interesting for a technical reason. White had
some advantages but Carlsen locked up the position in sound defence.
There was some shuffling around with the pieces, and at one stage
Magnus Carlsen approached the deputy arbiter Eduard Dubov to announce
that he intended to play the move 46...Qc7 and produce the same
position for a third time on the board. The chief arbiter Geurt
Gijssen was summoned and he started to check the game with Carlsen in
the analysis room. Gijssen also informed Morozevich about Carlsen's
claim and invited him to join in the checking. But Morozevich refused.
Carlsen and Gijssen replayed the game and came to the conclusion that
indeed the final position had occurred for a third time. A draw was
given and both players signed the scoresheets. Afterwards Gijssen had
some doubts and again checked the game. It was then that he discovered
that while the position had appeared three times on the board, it was
not with the same player having the move. "It means that the claim was
wrong and my decision was wrong as well," writes Gijssen in his
report. He informed Carlsen about this and the young Norwegian was
immediately ready to continue the game. The organizers tried to reach
Morozevich, but he was nowhere to be found. In the end his coach
Kuzmin informed the organizers that, in his opinion, the draw should
stand. And so it did.
[http://www.chessbase.com/newsdetail.asp?newsid=3476]

This is not the first occurrance of such confusion:

In the twentieth game of the 1972 Bobby Fischer-Boris Spassky match
(the Match of the Century), Fischer claimed a draw because of
threefold repetition. Spassky did not dispute it and the arbiter
agreed. After the draw had been agreed, it was pointed out that the
position had occurred after White's forty-eighth and fiftieth moves,
and again after Black's fifty-fourth move (the final position). So the
claim was actually invalid because it was not the same player's turn
to move in all three instances (Alexander 1972:137-38).
[http://en.wikipedia.org/wiki/Threefold_repetition]

Perhaps positions are more easily recognized than situations...

regards,
-John
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