all kinds of people become marjas and hujjahs these days.
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according to zahid sahib, he asks us to check usdu'l ghabah or isabah or al-isti'aab, tabaqat ibn sa'ad whether saHabah ever named their children ali or hamzah or hasan or husayn or ja'afar. while the venerable sahib (wink, wink, nudge, nudge) questions how much the saHabah loved the ahl al-bayt.
of course, we noted your precision: except sayyiduna ibn abbas raDiyallahu anhu naming his son ali and another sayyiduna Hasan al-baSri. also noted is the statement, 'after RasulAllah' sallAllahu alayhi wa sallam. which would counter the dozen or so saHabah found in usdu'l ghabah named ali. nobody can claim they were named after mawla ali - because some of them were not even muslims when named ali.
so the criteria are:
1) names of SaHaba's children should be Hamzah, ali, jaafar, Hasan, Husayn (don't know if abbas is also included, but i won't push)
2) names should be after RasulAllah sallAllahu alayhi wa sallam
and validated by: usdu'l ghabah, istiaab, iSabah.
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that is, it is relatively easy for me to show a couple of SaHabah naming their children one of the 5 names, compared to zahid shah who has to first prove that he knows concerning the saHabah mentioned in the four books:
1) how many children did each sahabi have?
2) how many were males?
3) what were their names?
because it is obvious that unless he knows ALL of them, he cannot say they didn't name them ali or hamzah or the rest; this will be obvious to anyone, except perhaps to the deranged lunatics who follow ZS and PAQ.
how can YOU - after 1400 years be sure of what even ibn sa'ad and those who followed him could not determine? (that is the number of children each saHabi sired and their names riDwanullahi ta'ala ajma'yin).
let us be reasonable and only work with the famous SaHabah. sayyiduna anas ibn malik raDiyallahu anhu is reported to have about 80 children; we ask zahid sahib to name half of them. بينوا توجروا
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secondly, your rules are pretty tough and practically unachievable:
1) named AFTER RasulAllah's time sallAllahu alayhi wa sallam
2) found in books listing SaHabah.
or don't you (zahid) understand that a person who came AFTER RasulAllah sallAllahu `alayhi wa sallam is not a SaHabi? (sorry for the obviousness: therefore futile to find it listed among the names of SaHabah)
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regardless, even by these standards, zahid sahib fails.
in usdu'l ghabah #3787 `ali ibn adi ibn rabi'ah is mentioned (because it is conjectured that he is a sahabi); and abu `umar said: "that he being a SaHabi is unproven.." remember that his father is a SaHabi. there are two adi ibn rabi`ah (there is some debate whether they are two different people, or both the same person) in usdu'l ghabah: #3605 #3606.
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i will be happy to look up any book that has detailed listing of all the children each SaHabi had; i apologise for my ignorance, but i have not come across any book that lists all the children of SaHabah [even balladhuri's ansab, trust me - or look it up].
in fact, even the list of SaHabah is only about 12,500 (vide isabah etc).
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[the first video - grab it before they delete it; at around 11:10 or so]