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when the same clusters of A-properties in our world are always accompanied by the same B-<br />

properties, and when this correlation is not just coincidental but lawful: that is, when instanti-<br />

ating the A-properties will always bring about the B-properties, wherever and whenever this<br />

happens.<br />

A good example of natural supervenience is gravitational attraction, as understood<br />

within pre-relativistic physics. It is in no way a conceptual or logical truth that two masses<br />

will be attracted to each other in proportion to their total mass divided by the distance be-<br />

tween their centres of gravity squared – it is also logically possible that masses would lie<br />

about in space undergoing no attraction to each other whatsoever, or even repulsion. But it<br />

so happens that, in our world as empirically observed, masses are indeed attracted to each<br />

other in this way. So gravitational attraction is naturally supervenient on mass-space configu-<br />

ration.<br />

However, this example brings out an important caveat. It is possible that one could gain<br />

a new understanding of what the world is made out of, in terms of say C-properties, such<br />

that two sets of properties A and B, which previously only had a relationship of natural su-<br />

pervenience between them, may each be logically supervenient on the newly-discovered C-<br />

properties. Indeed, this is precisely what happened when Einstein came along with his new<br />

picture of the relationship between matter-energy and space-time. Before his revolution, it<br />

had been understood that, by positing a single property called ‘mass’, there was a relation-<br />

ship of natural supervenience between the amount of force required to accelerate an object a<br />

certain amount and the amount of gravitational attractive force it exerted on other objects.<br />

Afterwards, these two phenomena became logically supervenient on his theory of general<br />

relativity, assuming of course that it accurately describes the world. They just ‘drop out’ of<br />

the equations, so to speak.<br />

Any attempt at reductive explanation via logical supervenience is sensitive to the con-<br />

cepts under which the phenomena to be explained are understood. Chalmers says (43):<br />

If someone objected to a cellular explanation of reproduction, “This explains how a cellular<br />

process can lead to the production of a complex physical entity that is similar to the original<br />

10

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