If I say that the strength of a triangle is due (in part, obviously) to the 
arrangement  of its legs, have I  "reduced" the  the triangle's strength to the 
properties of its legs?  Well, that depends on what one means by reduced.  If 
by reduced, one means that only that one has made mention of the legs in the 
course of explaining a property of the whole, then, the explanation is, indeed, 
a reduction.   If,  on the other hand, the requirement of reduction is that the 
explanation make mention only of the properties of the individual parts, then 
the explanation fails as a reduction, because an "arrangement" of legs is not 
strictly speaking, a property of the individual legs, themselves.  "An 
arrangement" is already a nominal emergent of the legs.  On this account, an 
explanation of the properties of a whole by reference to a temporal or spacial 
arrangement of its parts is in fact an explanation of one emergent property by 
another.   

This seems to open up a crack in the argument that non-reductive physicalism 
violates the causal closure of the physical.   For, it suggests that any 
complete explanation of properties at one level in terms of properties of 
another would have  at least  three steps.  The first step is the emergent to 
emergent step,  showing that nominal emergent properties lead to other emergent 
properties.  The second step is to identify the causes of the arrangement, 
which could be physical causes.  The third step is to show  why it is that 
arrangement in this way facilitates those properties.  These, too,  could be 
physical causes.   So, if we now allow into our concept of causal closure of 
the physical  to include the idea that arrangements of parts are constraints on 
the motions and positions of those parts, can't have a dual account where 
triangleness causes strength and the physical properties of the elements of a 
triangle (the legs and the joints) cause THAT [triangleness causes strength].   
Causal closure of the physical is complete because if nominally emergent 
properties such as temporal and spatial arrangement are allowed into the family 
of physical causes, we just have a case of physical causes causing physical 
causes.  

Nick   


Nicholas S. Thompson
Emeritus Professor of Psychology and Ethology, 
Clark University ([email protected])
http://home.earthlink.net/~nickthompson/naturaldesigns/
http://www.cusf.org [City University of Santa Fe]
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