Truth-preserving inference from reliably formed beliefs is a reliable method of forming beliefs. Beliefs formed by truth-preserving inference from beliefs formed by a method that would not, under normal conditions, have produced them had they been false will not, under normal conditions, be false. For, truth-preserving inference from truths yields truths under all conditions. Thus, truth-preserving inference from reliably formed beliefs satisfies the first clause of condition A of my theory. If the beliefs from which one infers also satisfy the second clause of A and are thereby justified, then the beliefs inferred will also satisfy this clause and be justified. For a justified belief incompatible with an inferred belief must also be incompatible with beliefs that support the inference. Hence, truth-preserving inference from beliefs justified under A yields beliefs justified under A. By condition B, a good reason to believe that one’s belief is formed by truth-preserving inference from beliefs justified under A justifies holding the belief.
KeywordsBlack Hole Entailment Relation Evidential Relation Reliability Property Epistemic Goal
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