If it knows that it knows, then surely can program by itself a sufficiently large program, debug it, extend it and so on. That is an NP-hard problem, as the name suggests, it is not easy, which is to say that it is infinitely hard, i.e. impossible.
Something that many people are surprised to realize, including me, is how much of our life can be be described by a context-free language. When we try to create a machine which knows-that-it-knows this is context-sensitive. Day and night comparison, Javascript vs CSS for example.
Machines are currently able to compare, contrast and mimic images and text,a thousand times better than a human. Maybe even million times better than a human. Very soon this will be billion and trillion.
This copying machine, copies only the context-free properties of the subject it analyzes. The moment it will try to copy context-sensitive properties, then the it hits the halting problem. No LLM currently has any problem terminating, so it analyzes only context-free properties of the subject.
A human song, a painting or a novel, maybe copies only the context-free properties from one other song, painting or novel. We humans for centuries and millennia described it as creativity. It turns out it was not creativity. Machines are creative only because we conflated context-free art creation, and context-sensitive art creation. When that distinction takes place, then machines will not be described as creative anymore!
Something that many people are surprised to realize, including me, is how much of our life can be be described by a context-free language. When we try to create a machine which knows-that-it-knows this is context-sensitive. Day and night comparison, Javascript vs CSS for example.
Machines are currently able to compare, contrast and mimic images and text,a thousand times better than a human. Maybe even million times better than a human. Very soon this will be billion and trillion.
This copying machine, copies only the context-free properties of the subject it analyzes. The moment it will try to copy context-sensitive properties, then the it hits the halting problem. No LLM currently has any problem terminating, so it analyzes only context-free properties of the subject.
A human song, a painting or a novel, maybe copies only the context-free properties from one other song, painting or novel. We humans for centuries and millennia described it as creativity. It turns out it was not creativity. Machines are creative only because we conflated context-free art creation, and context-sensitive art creation. When that distinction takes place, then machines will not be described as creative anymore!