(in a metaphorical analogue to Godel's Theorem), Hofstadter states,
The other metaphorical analogue to Gödel's Theorem which I find
provocative suggests that ultimately, we cannot understand our own
mind/brains ... Just as we cannot see our faces with our own eyes, is
it not inconceivable to expect that we cannot mirror our complete
mental structures in the symbols which carry them out? All the
limitative theorems of mathematics and the theory of computation
suggest that once the ability to represent your own structure has
reached a certain critical point, that is the kiss of death: it
guarantees that you can never represent yourself totally.
