Condemnation of the Idolators' attribution of Offspring to Allah

Here Allah speaks of the lies and fabrications of the idolators, when they devoted some of their cattle to their false gods and some to Allah, as He described in Surat Al-An`am where He said:

وَجَعَلُواْ لِلَّهِ مِمَّا ذَرَأَ مِنَ الْحَرْثِ وَالاٌّنْعَامِ نَصِيباً فَقَالُواْ هَـذَا لِلَّهِ بِزَعْمِهِمْ وَهَـذَا لِشُرَكَآئِنَا فَمَا كَانَ لِشُرَكَآئِهِمْ فَلاَ يَصِلُ إِلَى اللَّهِ وَمَا كَانَ لِلَّهِ فَهُوَ يَصِلُ إِلَى شُرَكَآئِهِمْ سَآءَ مَا يَحْكُمُونَ

وَجَعَلُوا لَهُ مِنْ عِبَادِهِ جُزْءًا (And they have attributed to Him [ that He is composed on parts [ and that too ] out of His slaves...43:15) 'parts' in this verse means 'offspring', because the polytheists used to say that angels are daughters of Allah, and by using the word 'parts' instead of 'offspring' the fallacy of their claim has been pointed out on pure logical ground. The gist of the argument is that had Allah any offspring, that offspring will have been His part, because a son is a part of his father, and it is a rule of logic that an entity that consists of parts is dependent upon its parts for its full existence. This will then necessarily mean that Allah Ta’ ala is also dependent on His offspring, which is obviously impossible, because dependence of any kind, being a negation of the Divine Majesty, is out of question in Allah's case.