The limitations created by the nature of computing mean that a mathematician’s true job of discovering novel theorems is quite safe at present.
Read More ›
We often hear that what’s hard for humans is easy for computers. But it turns out that many kinds of problems are exceedingly hard for computers to solve. This class of problems, known as NP-Complete (NPC), was independently discovered by Stephen Cook and Leonid Levin.
Read More ›
Gödel’s discovery brought back a sense of wonder to mathematics and to the rest of human knowledge. His incompleteness theorem underlies the fact that human investigation can never exhaust all that can be known. Every discovery builds a path to a new discovery.
Read More ›
Because the law of independence conservation states that no combination of randomness and determinism can create mutual information, then likewise no Turing machine nor artificial intelligence can create mutual information. Thus, the goal of artificial intelligence researchers to reproduce human intelligence with a computer program is impossible to achieve.
Read More ›