Math as we know it, due to Gödel's Incompleteness Theorems, is not fully consistent - we can't even prove everything that is true with our current mathematical framework. This means that our understanding of math is indeed limited, not just by our intellectual capabilities, but by the very structure of the math we currently use also.

This makes me wonder, will we be able to develop new mathematical frameworks that bypass these issues? And if so, what will they look like?