Darʾ Taʿâroud al-ʿAql wa-n-NaqlIbn Taimiya

He then said in reply:

As for their statement, “We do not concede that anything called a totality exists in an infinite series,” we reply: “The term ‘totality’ denotes precisely what you have described as infinite. There is no doubt that it is distinct from each individual member, since each individual member is finite. What is described as infinite is the posited collection of numbers, with not a single one excluded from it.”

As for their statement, “We do not concede that the concept of a totality is anything over and above the individual members succeeding one another without end,” we reply: “If you mean that the concept of a totality is identical to the concept of each individual member, this is plainly absurd. If you mean the collective configuration of the individual numbers, it is clearly something over and above each individual member, which is what we sought to establish.”

One might say: By “totality” they mean all the individual members, not each member separately. They do not concede that all the members constitute something distinct from the members succeeding one another.

As for their statement, “What prevents the totality from being determined by its constituent members?”, as they explained it:

ثم قال في الجواب قولهم لا نسلم وجود ما يسمى جملة في غير المتناهي قلنا مسمى الجملة هو ما وصفتموه بكونه غير متناه، ولا شك أنه غير كل واحد من الآحاد، إذ كل واحد من الآحاد متناه، الموصوف بما لا يتناهي هو الأعداد المفروضة، بحيث لا يخرج عنها واحد قولهم لا نسلم ان مفهوم الجملة زائد على الآحاد المتعاقبة إلى غير النهاية. قلنا إن أردتم أن مفهوم الجملة هو نفس المفهوم من كل واحد من الآحاد فهو ظاهر الإحالة، وإن أردتم به الهيئة الاجتماعية من آحاد الأعداد، فلا خفاء بكونه زائداً على كل واحد من الآحاد وهو المطلوب ولقائل أن يقول يريدون بالجملة كل الآحاد، لا كل واحد منها، زلا يسلمون أن كل الآحاد أمر مغاير للآحاد المتعاقبة قولهم ما المانع من أن تكون الجملة مترجحة بآحادها الداخلة فيها كما قرروه

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