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It is not the case that Lewis's own counterfactual analysis treats causation as a binary relation between events, not a quaternary contrastive relation.
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Reasons For
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Reason for
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1.
Contrastive theorists argue Lewis implicitly relies on implicit contrasts when determining which counterfactual differences matter causally.
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2.
Lewis's treatment of causation requires background contexts and norm-relative judgments that function like hidden quaternary parameters in practice.
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3.
The claim overstates formalism: even if Lewis's notation uses binary relations, the actual causal reasoning involves suppressed contrastive judgments about relevance.
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Reasons Against
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Reason against
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1.
Lewis's counterfactual analysis explicitly defines causation via chains of counterfactual dependence between distinct events without contrastive structure.
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2.
Binary relations (A causes B) are simpler and more parsimonious than quaternary relations, aligning with Lewis's methodological preferences.
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3.
Lewis's framework successfully explains causal chains and transitivity using only two-place relations, without requiring contrast classes or alternatives.
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