Consider also that even as digital technology and the ratiomathimatical understanding of the world has advanced it is still rife with dynamics and problems that require a humanistic approach. In particular, a mathematical conception cannot resolve teleological problems which require the establishment of consensus and the actual determination of what we, as a species, want the world to look like. Climate change and general economic imbalance are already evidence of the kind of disasters that mount when you limit yourself to a reductionistic, overly mathematical and technological understanding of life and existence. Being is not a solely technical problem.
19th/20th was a golden era of philosophy with a coherent and rigorous mathematical lens to apply with other lenses. Russel, Turing, Godel, etc. However this just doesn't exist anymore
The relevance of mathematics to the cognitive problem must be decided outside of mathematics. As another poster said, even if you buy the theorems, it is still an empirical question as to whether or not they really model what they claim to model, and whether or not that model is of a fidelity that we find acceptable for a definition of general intelligence. Often, people reach claims of adequacy today not by producing really fantastic models but instead by lowering the bar enormously. They claim that these models approximate humans by severely reducing the idea of what it means to be an intelligent human to the specific talents their tech happens to excel at (e.g. apparently being a language parrot is all that intelligence is, ignoring all the very nuanced views and definitions of intelligence we have come up with over the course of history. A machine that is not embodied ina skeletal structure and cannot even experience, let alone solve, the vast number of physical, anatomical problems we contend with on a daily basis is, in my view, still very far from anything I would call general intelligence).