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Ideas for 'fragments/reports', 'How Things Persist' and 'The Principles of Mathematics'

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3 ideas

26. Natural Theory / C. Causation / 7. Eliminating causation
We can drop 'cause', and just make inferences between facts [Russell]
     Full Idea: On the whole it is not worthwhile preserving the word 'cause': it is enough to say, what is far less misleading, that any two configurations allow us to infer any other.
     From: Bertrand Russell (The Principles of Mathematics [1903], §460)
     A reaction: Russell spelled this out fully in a 1912 paper. This sounds like David Hume, but he prefers to talk of 'habit' rather than 'inference', which might contain a sneaky necessity.
Moments and points seem to imply other moments and points, but don't cause them [Russell]
     Full Idea: Some people would hold that two moments of time, or two points of space, imply each other's existence; yet the relation between these cannot be said to be causal.
     From: Bertrand Russell (The Principles of Mathematics [1903], §449)
     A reaction: Famously, Russell utterly rejected causation a few years after this. The example seems clearer if you say that two points or moments can imply at least one point or instant between them, without causing them.
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Causation is nothing more than the counterfactuals it grounds? [Hawley]
     Full Idea: Counterfactual accounts of causation say that a causal connection is exhausted by the counterfactuals it appears to ground.
     From: Katherine Hawley (How Things Persist [2001], 3.5)
     A reaction: I am bewildered as to how this became a respectable view in philosophy. I quite understand that this might exhaust the 'logic' of causal relations. Presumably you can have counterfactuals in mathematics which are not causal?