"I don't know why you think you can say that with such certainty. The point of the article is that a belief in a world of the infinite is not a culturally neutral idea, but it is part of the kabbalistic culture."
In your original post you claim that for mathematics to have worth it should have real-world applications. The real numbers are an uncountable set. Tell me, how much physics or engineering do you think you could do without using the real numbers?