Educational studies? You cited some frenchman by no name from 100 years ago as the source of this belief. I am saying this religious belief comes from Jewish books from 70CE. There are passages in the Torah itself that elude that the child from a man may lead a stray but no comments from the mother. There is fact from the book of ruth about her heritage. But the place I can point out that says it straight forward is in the Mishnah that was done about 70ce (can not pin point exact date).
I believe you have an issue separating whether being Jewish is a religion or a nationality. I believe in it being both.
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