Al-Radd ʿalā al-ManṭiqiyyīnIbn Taimiya

and if they seek diversion through speech, let that speech likewise benefit their intellect and their religion—namely, the science of inheritance (farāʾiḍ).

The science of farāʾiḍ is of two kinds: (1) legal rulings and (2) calculation.

The legal rulings are themselves three tiers:

  1. Knowledge of the rulings according to the doctrine of a particular school of jurists—this is the first level.
  2. Knowledge of the statements of the Companions and later scholars regarding points on which they differed.
  3. Knowledge of the proofs for those rulings drawn from the Qur’an and the Sunnah.

As for the arithmetic of farāʾiḍ, it comprises identifying the basic denominators of estate problems, adjusting them, handling successive inheritances (munāsakhāt), and distributing the estate shares. The discipline has a well-established methodology for that, set out in specialized works. This entire second branch is an intelligible science grasped by reason, just as the math of commercial transactions and other practical calculations is grasped by reason.

They have also mentioned the reckoning of unknown quantities, known as “algebra and restoration” (al-jabr wa’l-muqābalah). The science itself is ancient, but the earliest person known to have applied it to wills, cyclical estate questions, and the like was Muḥammad ibn Mūsā al-Khwārazmī. Some people claim that ʿAlī ibn Abī Ṭālib—may Allah be pleased with him—spoke on the subject and learned further aspects of it from a Jew; this is a false accusation against ʿAlī, may Allah be pleased with him.

في عقلهم ودينهم وهو الفرائض. وعلم الفرائض نوعان: أحكام وحساب. فالأحكام ثلاثة أنواع: أحدها: علم الأحكام على مذهب بعض الفقهاء وهذا أولها ويليه علم أقاويل الصحابة والعلماء فيما اختلف فيه منها ويليه علم أدلة ذلك من الكتاب والسنة. وأما علم حساب الفرائض فمعرفة أصول المسائل وتصحيحها والمناسخات وقسمة التركات وللفرائض في ذلك طريق معلومة وكتب مصنفة وهذا الثاني كله علم معقول يعلم بالعقل كما يعلم بالعقل سائر حساب المعاملات وغير ذلك من الأنواع التي يحتاجها إليها الناس. ثم قد ذكروا حساب المجهولات الملقب بحساب الجبر والمقابلة وهو علم قديم لكن إدخاله في الوصايا والدور ونحو ذلك أول من عرف أنه ادخله في ذلك محمد بن موسى الخوارزمي وبعض الناس يذكر عن علي بن أبي طالب رضي الله عنه أنه تكلم في ذلك وانه تعلم زيادة ذلك من يهودي وهذا كذب على علي رضي الله عنه

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