One could then argue for the semidecidability of a free choice. Heisenberg s uncertainty principle anticipates self-reference in that the measurer interacts with what is being measured, affecting the physical quantities of position or speed. In the above arguments, P affects the state of mind of A . While this correlates with brain states of A , the effect is not necessarily accountable in terms of Heisenberg uncertainty. Others have argued that Heisenberg uncertainty fluctuations are adequate to explain the independent existence of mind.
Predicate logic is consequently semidecidable.
In the development of physical concepts such as causality or determinism, the limitations of this logic also apply to the physical concepts it supports. Closure MacKay recognized that we think and behave as though we are free and argued that physical determinism does not deny this basic fact of our personal experience. The kind of physical determinism that MacKay s argument allows is limited to what can be predicted about A without interacting with A . If a more comprehensive determinism is assumed instead, the result is similar in that even fully deterministic predictions are semidecidable. In neither case can we conclude that our understanding of physical determinism invalidates our experience as free agents.