>Scientists have proven that no matter how perfectly and completely we can mathematically describe a material on the microscopic level, we're never going to be able to predict its macroscopic behavior
Surely this has more nuance, as it is some ways we can falsify the statement as is
Yes there absolutely is nuance. The mathematics used to determine whether a quantum system has a gap or not is indeed undecidable, but that undecidability only kicks in as the size of your system approaches infinity.
For any finitely sized system, basically any actual system in the universe, the solution is computable/decidable.
Surely this has more nuance, as it is some ways we can falsify the statement as is