Considering that causality is the law of identity applied to action - if it is the brain producing the effects, how does the brain not determine the effects?
I think Ruveyn1 is in the right here, but I would like to clarify the position he’s arguing from. I think his explanation contains an inexactness: namely, he uses “brain” to refer to a human body and its environment, as a whole.
It is in fact a human body, as a whole, which is functioning, in its physical environment, to produce a conscious mind. It’s not just the brain, in a vacuum. The mind is the product of various brain functions (and the body which supports them physically, but that part is implied in Ruveyn’s post as well, obviously), but also sensory organs, and through them information from the environment in which it is in (this implication seems less obvious, just from saying “the brain”).
The conscious mind is a process that is the result of all these functions working together. The most relevant (to our discussion) functionality of this conscious mind is thinking (the use of certain methods of processing information, which are stored in the brain). This method (thinking) is selective, meaning that the mind is able to choose whether to perform the processing of some input (be it direct sensory input or information, concrete or abstract, stored in memory).
If this method wasn’t selective, then the mind would be a deterministic process (its results would be entirely determined by the specifics of the human being and his environment, and so would its decisions). But it is selective. It very clearly is, one can observe this directly. But, direct observation aside, the attempts proponents of determinism make to explain away the results of this ability of the mind to be selective in its thinking (i.e. two people of similar intelligence, growing up with similar information available to them, and one becoming a rational thinker the other a delusional religious fanatic) are laughable.
P.S.
Just to head off any possible misunderstandings, I’d like to make a couple of short points clear:
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The law of identity does not contradict choice, as long as we make it clear what choice is: the ability to focus or not (the ability to function or not). That is what we choose. We do not choose to break with cause and effect within our bodies. We choose to sidestep a process, and deprive ourselves of what the necessary outcome of that process + a given input is, in favor of a blankout. That’s it. We’re not choosing between rational thought nr. 1 and rational thought nr. 2, we’re choosing between rational thought and blank.
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The mind is a mechanism, made up of physical components. A mechanism that is conscious of itself and others, and able to turn some of its processes on or off, but a mechanism nonetheless. It’s not magic, that ignores causality. Every action within it has one specific reaction, just like every action in the outside world has one specific reaction.
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Perhaps the most important one, because I think it directly answers your question: “Every action has one specific reaction” does not equal “every action is the result of another action”. In fact, the second statement is clearly a logical contradiction, since we’re short of at least one “uncaused” action.