=====
1.2 The philosophical significance of mathematical platonism
Mathematical platonism has considerable philosophical significance.
If the view is true, it will put great pressure on the physicalist idea
that reality is exhausted by the physical. For platonism entails that
reality extends far beyond the physical world and includes objects
which aren’t part of the causal and spatiotemporal order studied
by the physical sciences.
[1] Mathematical platonism, if true, will also put great pressure on many
naturalistic theories of knowledge.
For there is little doubt that we possess mathematical knowledge.
The truth of mathematical platonism would therefore establish
that we have knowledge of abstract (and thus causally inefficacious) objects.
This would be an important discovery, which many naturalistic theories
of knowledge would struggle to accommodate.
https://plato.stanford.edu/entries/platonism-mathematics/
======================