The question Are the "half your deen" hadiths authentic? talks about the hadiths regarding a man's marriage being half his deen. For example, Daily Hadith write:
Anas ibn Malik reported: The Messenger of Allah, peace and blessings be upon him, said, “Whoever Allah provides with a righteous wife, then Allah has assisted him in half of his religion. Let him fear Allah regarding the second half.”
Source: al-Mu’jam al-Awsaṭ 992
Grade: Sahih (authentic) according to As-Suyuti
In Islam, a man is permitted to have N ∈ {0,1,2,3,4} wives. We know:
- If a man has 0 wives, 0% of his deen is fulfilled by virtue of having a wife.
- If a man has 1 wife, 50% of his deen is fulfilled by virtue of having a wife.
But what about N ∈ {2,3,4}?
Question: If a man's marriage fulfils "half his deen", what happens with multiple wives?
If we assume the level of fulfilment scales linearly with N, then a man fulfils N/2 of his deen by virtue of being married, which gives a contradiction when N ∈ {3,4} because N/2>1. Therefore, the level of fulfilment cannot scale linearly with N. In other words, e.g. having three wives cannot be three times as virtuous as having one wife.