> Just because you are not thinking about a brain state when you think about a tiger does not mean that your thought is not a brain state.
> It doesn't logically follow that the mental event of thinking about X isn't identical to or constituted by the physical process Z.
That's logically sound insofar as it goes. But firstly, the existence of a brain state for a given thought is, obviously, not proof that a thought is a brain state. Secondly, if you say that a thought about a tiger is a brain state, and nothing more than a brain state, then you have the problem of explaining how it is that your thought is about a tiger at all. It is the content of a thought that makes it be about reality; it is the content of a thought about a tiger that makes it be about a tiger. If you declare that a thought is its state, then it can't be about a tiger.
You can't equate content with state, and nor can you make content be reducible to state, without absurdity. The first implies that a tiger is the same as a brain state; the second implies that you're not really thinking about a tiger at all.
Similarly for arithmetic. It is only the content of a thought about arithmetic that makes it be right or wrong. It is our ideas of "2", "+", and so on, that make the sum right or wrong. The brain states have nothing to do with it. If you want to declare that content is state, and nothing more than state, then you have no way of saying the one sum is right, and the other is wrong.
> It doesn't logically follow that the mental event of thinking about X isn't identical to or constituted by the physical process Z.
That's logically sound insofar as it goes. But firstly, the existence of a brain state for a given thought is, obviously, not proof that a thought is a brain state. Secondly, if you say that a thought about a tiger is a brain state, and nothing more than a brain state, then you have the problem of explaining how it is that your thought is about a tiger at all. It is the content of a thought that makes it be about reality; it is the content of a thought about a tiger that makes it be about a tiger. If you declare that a thought is its state, then it can't be about a tiger.
You can't equate content with state, and nor can you make content be reducible to state, without absurdity. The first implies that a tiger is the same as a brain state; the second implies that you're not really thinking about a tiger at all.
Similarly for arithmetic. It is only the content of a thought about arithmetic that makes it be right or wrong. It is our ideas of "2", "+", and so on, that make the sum right or wrong. The brain states have nothing to do with it. If you want to declare that content is state, and nothing more than state, then you have no way of saying the one sum is right, and the other is wrong.