Logical Necessity and Physical Causation Did I mention the following?
1. Mill's 5 Methods
1. Method of agreement
A, B, C correlates with X, Y, Z
A, E F correlates with X, Q, R
X A
Thus,
A is a necessary cause/effect of X
2. Method of difference
A, B, C correlates with X, Y, Z
B, C correlates with Y, Z
~X ~A
Ergo,
A is a sufficient cause/effect of X
3. Joint method of agreement & difference
A, B, C correlates with X, Y, Z
A, E, F correlates with X, Q, R
B, C correlates with Y, Z
X A
~X ~A
So,
A is the cause of X
4. Method of concomitant variation
As A increases/decreases X increases/decreases (direct variation)
As A increases/decreases X decreases/increases (inverse variation)
Hence,
A is the cause of X
5. Method of residue
A, B, C correlates with X, Y, Z
B is a cause of Y
C is a cause of Z
Therefore,
A is the cause of X
2. T is the cause of U
IFF
1. T is correlated with U
2. There is no V such that V causes both T and U (rule out third-party causation; use one's background knowledge)
3. U is not the cause of T (rule out reverse causation; the cause must precede the effect)
4. The correlation between T and U is not coincidental (persists over time; background knowledege will come in handy; mechanism of causation identified)