Question

Imagine that scientists discover that the behavior of the brain can be completely described by some mathematical function. Given the Church–Turing Thesis, would this discovery entail that the behavior of the brain can be simulated by a Turing Machine?

Answer 1

Yes, the behavior of the brain can be simulated by a Turing machine if its behavior can be described by a mathematical function.

Step-by-step explanation:

Given the Church-Turing Thesis, which states that any function that is effectively calculable is computable by a Turing machine, the discovery that the behavior of the brain can be completely described by a mathematical function would indeed entail that the behavior of the brain can be simulated by a Turing machine. This is because a Turing machine is a mathematical model of computation that is capable of simulating any function that can be computed. If the behavior of the brain can be described by a mathematical function, then it can be simulated by a Turing machine.