Just to summarize my arguments:
(1). Parallellism implicitly states that we can know that there is a real, irreducible mind and a real, irreducible brain.
(2). One of the claims of parallellism is that the mind is not influenced by the brain.
(2a). If the mind is not influenced by the brain, we cannot know that there is a brain.
(2b). If we ourselves hold that we cannot know that there is a brain, we can't (even implicitly) state that we know that there is a real, irreducible brain.
(2c) Thus, parallellism is an incoherent position.
(3). The other claim of parallellism is that the brain is not influenced by the mind.
(3a). If the brain is not influenced by the mind, we cannot meaningfully express our theories about the mind by physical means, such as speech and writing.
(3b). Parallellism as shared in the intellectual debate should be meaningfully expressable by physical means, such as speech and writing.
(3c). As parallellism cannot be expressed meaningfully in the intellectual debate, it can't be a candidate within that intellectual debate, let alone win that debate.
(3d). However, parallellists implicitly claim that their position is a meaningfully expressable one, which should not only take part in the intellectual debate, but even win the battle.
(3e). Therefore, parallellism is an incoherent position.
Satisfied?
Titus
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Not really.
Everything there seems to ignore the idea that the pre-established harmony is pre-established by God. Your arguments do not work for someone who believes all this was set up by God, including all ones thoughts about the brain and about parallelism.
A detrministic parallelism, where all things physical and psychical were pre-established by God. So your knowledge of the brain (and indeed of anything physical) is through God, not through any kind of interaction.