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Infinitesimal Confirmation
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Review Nicod’s Criterion:
A generalization is confirmed (to some degree) by an F that is G. A generalization is disproved by an F that is not G. A generalization is neither confirmed nor disproved by non-Fs that are not G or by non-Fs that are G. The contrapositive of All Fs are G is All non-Gs are non-Fs. The Equivalence Confirmation Thesis: Logically equivalent statements are confirmed by the same things.
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The Raven Paradox A red herring confirms the hypothesis that all non-black things are non-ravens. The hypothesis that all non-black things are non-ravens is logically equivalent to the hypothesis that all ravens are black. If (1) and (2), then a red herring confirms the hypothesis that all ravens are black. [So] A red herring confirms the hypothesis that all ravens are black.
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The Conclusion A red herring confirms the hypothesis that all ravens are black. Nicod’s Criterion (c): A generalization is neither confirmed nor disproved by non-Fs that are not G or by non-Fs that are G.
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The Conclusion An infinitesimal (i) is an infinitely small value.
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The Conclusion A red herring confirms the hypothesis that all ravens are black. Nicod’s Criterion (c): A generalization is neither confirmed nor disproved by non-Fs that are not G or by non-Fs that are G.
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