A group of scholars say that they were five sons and one daughter...
A group of scholars say that they were five sons and one daughter, and that they were: Muhammad al-Qani', al-Hasan, Ja’far, Ibrahim, al-Husayn, and 'Ayesha. Sabt ibn al-Jawzi, in his work Tadhkiratul-Khawass , says that the sons were only four, dropping the name of Husayn from the list. Al-Mufid inclines to believe that the Imam did not have any son other than Imam Muhammad al-Jawad (a.s.), and Ibn Shahr Ashoob emphatically states so, and so does al-Tibrisi in his A'lam al-Wara.
Al-'Udad al-Qawiyya states that he had two sons, Muhammad and Musa, and that he did not have any other offspring. In his claim, he is supported by Qurb al-Asnad in which the author says that al-Bazanti asked ar-Ridha’, "For years I have been asking you who your successor is and you keep telling me that it is your son even when you had no son at all, but since God has now blessed you with two sons, which one of them is he?" 'Uyoon Akhbar ar-Ridha’ indicates that he had a daughter named Fatima.
We are not in the process of investigating, researching and pinpointing with accuracy the number of his offspring and their names, but what seems to be more reasonable is what al-Mufid states. What is established as a fact with us is that Imam Muhammad al-Jawad (a.s.) was his son; as regarding his other sons, nobody seems to be able to prove any facts regarding them, and God knows best.
Personality and Characteristics Generally speaking, an Imam enjoys a unique personality and distinctive characteristics, in as far as Shi'a followers of the Imams are concerned; therefore, he is not permitted to do what others are, such as falling into error, or getting confused about a matter. Rather, infallibility is essential in him since he conveys on behalf of the Prophet (S) what seems to others to be obscure of the Message and its intricacies.
Just as we proved the infallibility of the Prophet (S), we, by the same token, prove infallibility for the Imam as well with one exception: the Imam conveys on behalf of the Prophet (S), whereas the Prophet conveys on behalf of the Almighty God.
The wisdom in this argument is that should falling into error be accepted and expected from the Prophet (S) or the Imam, then doubt will result regarding the reliability of what they convey to people of juristic rules and regulations and other such matters since they are liable to err in their judgment or get confused about a particular issue.