A chess move cannot violate thermodynamics. But if you make a theory that a chess game hypercomputes, then it violates existing knowledge of physics. And you haven't been able to demonstrate by experiment that the chess move hypercomputes. Physical laws are not like human or legal laws that can be violated. Either it cannot be violated, or it can be violated and the physical law is wrong, which requires experimental and mathematical evidence, not wishy washy verbal salads.

ANd yes, an example would be Penrose believes something in the brain is non-computable. However Penrose is a very excellent thinker as far as the standards for consciousness theories go, for he posited a physically testable theory as far as I know. Even if it turns out to be wrong, this is worthy of respect.