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So you don't have any concrete examples, just broad topics that you have a vague feeling about? I guess I am not truly human because I can't solve the halting
by Thiez 6y ago
So you don't have any concrete examples, just broad topics that you have a vague feeling about?
I guess I am not truly human because I can't solve the halting problem in the general case. I'm probably also subject to Gödel's incompleteness theorem.
- yters 6y agoProgramming is concrete. Programmers have to reliably determine if their code will halt or not to make functioning software. Mathematics is concrete and mathematicians have to reliably create new consistent axioms to expand our mathematical knowledge. Notice that the fact you too are subject to Gödel's theorem does not entail you are a Turing machine. There is an oracle hierarchy where each level has its own halting problem and a higher level oracle. This does not cause the hierarchy to collapse. So even though humans have their own halting problem does not entail they are reducible to Turing machines. It is a subtle point of logic, but one I see many people miss, even philosophers and computer scientists who attempt to refute oracle arguments.