Which means what mathematics have some kind of existence for itself, since it does not need to be based on physical world, or only exists in our mind, which would be rather weird since physical world seems based on mathematics? OTOH mental world needs of physical world since our brain is physical... all these interrelations lead us to Penrose´s triangle:
And the three possible views of the universe:
1: the aristotelic materialistic view: there is only the physical world and math and mental world arise from it (mainstream)
2: the platonic view: mathematics is the only real thing everything else is an image of mathematics. (remember Plato cave?)
3: the mystic view. The whole universe, math and physical, is product of our mind. (Kyriakos´s view?)
The first one seems the most probable, but the more we know about the universe, the more strong becomes the second one, apparently at least. The third one is too metaphysical for me, but intriguing too.