I am trying to wrap my head around why IQP in chess is not considered a full liability to the player who has to defend the IQP, can you help me with that?
  Sure, I'd be happy to help!

In chess, an IQP (isolated queen's pawn) is a pawn that is not supported by any other pawns on the same file and is not protected by any pieces. While it is true that an IQP can be a liability for the player who has to defend it, there are several reasons why it is not considered a full liability:

1. Mobility: An IQP can still move freely along the file, which means it can potentially create threats against the opponent's position. For example, if the IQP is on the d-file, it can attack the opponent's pawns on d4 and d5, or it can support a knight or bishop attacking those pawns.
2. Potential for counterplay: An IQP can create opportunities for counterplay against the opponent's position. For example, if the IQP is on the kingside, it can be used to launch a knight fork or a bishop fork against the opponent's king and rooks.
3. Threat of promotion: An IQP can potentially promote to a queen, which can be a powerful piece in the endgame. This means that the player who has to defend the IQP must be careful not to let it promote,
In chess, an IQP (Isolated Queen's Pawn) is a type of positional advantage where one player has a pawn on the 7th rank (the queenside) and the other player does not have a pawn of the same color on that side of the board. Although the IQP can be a strong positional advantage, it is not necessarily a full liability for the defending player. This is because there are many ways for the defending player to defend the IQP and create counterplay, such as by creating a strong pawn structure or by developing their pieces to good squares. Furthermore, the IQP can be a transitional stage in the game, where the defending player can use it as a springboard to launch an attack of their own. Therefore, while the IQP can be a strong positional advantage, it is not necessarily a full liability for the defending player.