h:( purported )volitional act performed. (ex. raise hand to vote for board director).
n: volitional act related Neurophisiological properties.
b: volitional act related believe
R1 & R2: some type of causal relation or explanation. They might be the same type of relation.
1- h → (n & nR1h) & (b & bR2h)
2- ¬b
3- ¬ h
4- ¬b → ¬ h
1)If volitional act "h" is performed then there are certain neurophisiological properties "n", that stand in some causal relation to the volitional act "h", and there is, a believe or set of believe "b", that stand in some causal relation to the volitional act "h".
2) Not b
3) not h.
4) if not b then not h
* 4) contradicts scientific experience
1: is probably false
===========================
1- h → (n & nR1h) OR (b & bR2h)
2- h
3- ¬ n
4- b & bR2h
4 * contradicts a physicalist view of the world.
====================================
1- h → (n & nR1h) OR (b & bR2h)
2- h
3- ¬ b
4- n & nR1h
fits some physicalist view of the world
====================================
It seems reasonable to take that if
a Naturalist and physicalist view of the world is true.
Neither:
h → (n & nR1h) & (b & bR2h)
nor
h → (n & nR1h) OR (b & bR2h)
are true
But
h → (n & nR1h)
Seems to be, at least, plausible.