Let us imagine a mad tailor who makes all sorts of clothes. He does not know anything about people, birds, or plants. He is not interested in the world; he does not examine it. He makes clothes but does not know for whom. ….
Mathematics works in the same way. It builds structures but it is not clear of what. These are perfect models (i.e., perfectly accurate), but a mathematician does not know what they are model of. He is not interested. He does what he does because such an action has turned out to be possible. ….
The space of his constructions is not our space, as it can have an infinite number of dimensions.
And the scientists are rushing, desperately trying to clothe their naked data, rummaging through the mathematicians’ sale rack for something good.