Nicod's criterion: Subtler than you think

Philosophy of Science 47 (4):638-643 (1980)
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Abstract

In a recent note, Horwich challenges the foundations of Hempel's classic paradox of confirmation by a clever example purporting to show that under Nicod's Criterion, data can be made to confirm a hypothesis with which they are logically incompatible. Specifically, Horwich observes that 'Pb' is formally equivalent to ''. The latter has form '' with '∼P___ · ∼Pb' for 'Ψ' and '___ ≠ b' for 'ϕ', while the observation that distinct objects a and b both lack P, i.e. that —Pa · ∼Pb · a ≠ b, can be expressed as 'Ψa · ϕa' for these same instantiations of the predicate markers. Accordingly, if an uncertain generality '' were always to be confirmed by an observation of form 'Ψa · ϕa', as Nicod's Criterion has long been presumed to say, then we could confirm that b has P by observing that b and some other object both lack P—a flagrant absurdity.

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Rozeboom Rozeboom
University of Alberta

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References found in this work

Studies in the logic of confirmation.Carl A. Hempel - 1983 - In Peter Achinstein (ed.), The Concept of Evidence. Oxford University Press. pp. 1-26.
A peculiar consequence of nicod's criterion.Paul Horwich - 1978 - British Journal for the Philosophy of Science 29 (3):262-263.

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