What I want to know is: are there any problems in chess that remain unsolved?
closed as too broad by fuxia, Glorfindel, Brian Towers, Herb Wolfe, Remellion Dec 24 '18 at 10:21
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You can try finding the perfect Babson: compose a problem with four main lines. They consist of a defensive promotion of a black pawn to a queen, rook, bishop or knight, which forces White to promote to the same piece type in each case.
Examples already exist, but they involve duals, which make them imperfect.
Is there a forced win for White?
Is it good or not for chess and the players if the World Championship match could be eventually decided by rapid, blitz, and armageddon?