His statement, “Or if he settles with a legally accountable person”: he specified a legally accountable person because the acknowledgment of one who is not legally accountable is invalid in the first place. Since his acknowledgment is invalid, a settlement with him is likewise invalid.
His statement, “Or with a woman, so that she acknowledges, in return for compensation, that she is his wife: this is invalid.” An example of this is where the state grants an unmarried person a certain amount from the public treasury, while granting a married person twice that amount. A man then asks a woman to acknowledge that she is his wife so that he may receive the allowance given to married people, and she does so. This is forbidden, because it leads to many consequences. If he were to die, she would inherit from him; and if she were to die, he would inherit from her. Furthermore, if she were to bear a child born of fornication, the child would be affiliated to the man before whom she acknowledged the marriage. Many rulings would follow from this. Therefore, it is not lawful for a man to settle with a woman in order for her to acknowledge that she is his wife.
This applies where he settles with a woman for compensation in exchange for her acknowledgment. If he settles with her without compensation, the ruling is the same, although in most cases it would only occur in return for compensation—whether a tangible asset, a benefit, or something else.
Question: Suppose the woman truly is his wife, but she denies that she is his wife; the witnesses have died, the marriage document has been lost, and nothing now remains except her acknowledgment. He therefore settles with her so that she will acknowledge that she is his wife. What is the ruling on this settlement?
Answer: As for the woman, it is forbidden for her to take compensation for this acknowledgment, because she is his wife. As for the man, it is permissible for him to offer the compensation, since this enables him to recover his right. A comparable case is where someone takes something belonging to you and refuses to acknowledge that it is yours unless you give him compensation. If you give it to him, that is permissible for you, but forbidden for him.