From section 3.2: The World is Not Causally Closed:
"In the weakest conception, causal closure means that 'every physical phenomenon that has a sufficient cause has a sufficient physical cause' (Montero, 2003, p. 174). According to Kim (1998, p. 40) another way of stating the principle of physical causal closure is this:
'If you pick any physical event and trace out its causal ancestry or posterity, that will never take you outside the physical domain. . . . If you reject this principle, you are ipso facto rejecting the in-principle completability of physics.'
This argument is not correct. It is true that under very general conditions any causally open physical system can be embedded into a causally closed time-invariant description with a larger state space. However, such an ad hoc extension
presupposes a two-way determinism, where the present is 'mathematically determined jointly by the past and future, however remote' (Good, 1962). That is, only
if the external influences
are given for all past and future times, then we can reconstruct a local time-invariant deterministic description. Even if we can reconstruct a causal ancestry (which is by no means unique) in every particular case, this does not imply the possibility of a global causal reconstruction.
The assertion that 'modern science is premised on the assumption that the material world is a causally closed system' (Heil, 1998, p. 23) is in striking contradiction to experimental science. Every experiment requires an irreversible dynamics. No experiment refers to a closed physical system. In a strictly deterministic world it would neither be possible to perform meaningful experiments nor to verify the partially causal behavior of a physical system. We conclude that science neither assumes that the material world is a causally closed system, nor that physical laws imply the causal closure of physics." (italics in original; emphasis added)
Primas, H. (2009). Complementarity of Mind and Matter. In H. Atmanspracher & H. Primas (Eds.). Recasting Reality: Wolfgang Pauli's Philosophical Ideas and Contemporary Science (pp. 171-209). Springer.
References cited in quotation:
Good, I.J (1962): Two-way determinism. In: Good, I.J. (ed.),
The Scientist Speculates. Heinemann, London, pp. 314–315.
Heil, J. (1998):
Philosophy of Mind: A Contemporary Introduction. Routledge, London.
Kim, J. (1998):
Mind in a Physical World. MIT Press, Cambridge, Mass.
Montero, B. (2003): Varieties of causal closure. In: Walter, S. and Heckmann, H.-D. (eds.),
Physicalism and Mental Causation. Imprint Academic, Exeter, pp. 173–187.