user15543: Are there any problems in chess that remain unsolved?

user8291: Is it good or not for chess and the players if the World Championship match could be eventually decided by rapid, blitz, and armageddon?

user15223: 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.

user825: Is there a forced win for White?

15543: <p>Are there any problems in chess that remain unsolved?</p>
 8291: <p>Is it good or not for chess and the players if the World Championship match could be eventually decided by rapid, blitz, and armageddon?</p>
 15223: <p>You can try finding <a href="https://en.chessbase.com/post/the-perfect-babson" rel="noreferrer">the perfect Babson</a>: 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.</p>

<p>Examples already exist, but they involve duals, which make them imperfect.</p>
 825: <p>Is there a forced win for White?</p>
