I mean, no one has a well defined definition of free will, much like the worlds intelligence and consciousness.
With this said having more knowledge expands your ability to explore the problem space of existence. Lets imagine that you are a single bit, you have the 'choice' of being one or zero. From an outside observer the problem space of the outcome is very predictable in the sense we know it's going to be a 1 or 0. Now, keep adding random bits and our ability to predict the outcome of any state drops dramatically very quickly. But that's choosing at random, what if most bit states are bit random at all? For example this digital creature we're talking about now is millions of bit states long set by a learning algorithm, it so advanced it has an internal Turing machine that can simulate potential outcome states far into the future when executing code. You would look at this and say "well, it doesn't have free will, it just has an incomputably large set of potential bit states" But an outside observer unaware of the programs nature and it's starting state (for example it's performing a Turing test against the machine) would probably think the entity has free will.
You are a very large set of states, because of this you cannot prove free will. You've reversed causality in your summary.
With this said having more knowledge expands your ability to explore the problem space of existence. Lets imagine that you are a single bit, you have the 'choice' of being one or zero. From an outside observer the problem space of the outcome is very predictable in the sense we know it's going to be a 1 or 0. Now, keep adding random bits and our ability to predict the outcome of any state drops dramatically very quickly. But that's choosing at random, what if most bit states are bit random at all? For example this digital creature we're talking about now is millions of bit states long set by a learning algorithm, it so advanced it has an internal Turing machine that can simulate potential outcome states far into the future when executing code. You would look at this and say "well, it doesn't have free will, it just has an incomputably large set of potential bit states" But an outside observer unaware of the programs nature and it's starting state (for example it's performing a Turing test against the machine) would probably think the entity has free will.
You are a very large set of states, because of this you cannot prove free will. You've reversed causality in your summary.