In Carlos Gershenson, Diederik Aerts & Bruce Edmonds (eds.), Worldviews, Science, and Us: Philosophy and Complexity. World Scientific. pp. 285 (2007)

This paper investigates the seeming incompatibility of reductionism and non-reductionism in the context of complexity sciences. I review algorithmic information theory for this purpose. I offer two physical metaphors to form a better understanding of algorithmic complexity, and I briefly discuss its advantages, shortcomings and applications. Then, I revisit the non-reductionist approaches in philosophy of mind which are often arguments from ignorance to counter physicalism. A new approach called mild non-reductionism is proposed which reconciliates the necessities of acknowledging irreducibility found in complex systems, and maintaining physicalism.
Keywords non-reductionism  reductionism  algorithmic information theory  complex systems  physicalism
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Mental Events.Donald Davidson - 1970 - In L. Foster & J. W. Swanson (eds.). Clarendon Press. pp. 207-224.
Epiphenomenal Qualia.Frank Jackson - 1982 - In John Heil (ed.), Philosophy of Mind: A Guide and Anthology. Oxford University Press.
Logical Depth and Physical Complexity.C. H. Bennett - 1988 - In R. Herken (ed.), The universal Turing machine, a half century survey. Oxford University Press. pp. 227-257.
Subjective Facts.Tim Crane - 2003 - In Hallvard Lillehammer & Gonzalo Rodriguez Pereyra (eds.), Real Metaphysics. London: Routledge. pp. 68-83.

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