He has neither posterity nor a wife.
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It is illogic to ascribe a son to Allah who did not have a wife. He created every thing and none is hidden from him.
Allah said ( interpretation of the meaning ):
{ [He is] Originator of the heavens and the earth. How could He have a son when He does not have a companion and He created all things? And He is, of all things, Knowing}
Quran ( 6 : 101 )