Gödel showed that arithmetic cannot prove everything about itself.
Turing showed that computers cannot predict everything about themselves.
Rice showed that we cannot automatically verify what programs will do.
Chaitin showed that mathematics is full of random, unprovable facts.
Lawvere showed that they are all failing for the exact same structural reason!
These are not fringe issues. They define the absolute boundaries of human and machine intelligence.
Gödel showed that arithmetic cannot prove everything about itself.
Turing showed that computers cannot predict everything about themselves.
Rice showed that we cannot automatically verify what programs will do.
Chaitin showed that mathematics is full of random, unprovable facts.
Lawvere showed that they are all failing for the exact same structural reason!
These are not fringe issues. They define the absolute boundaries of human and machine intelligence.