Abstract

Hume's attempt to show that deduction is the only legitimate form of inference presupposes that enumerative induction is the only non-deductive form of inference. In actuality, enumerative induction is not even a form of inference: all supposed cases of enumerative induction are disguised cases of Inference to the Best Explanation (IBE), so far as they aren't simply cases of mentation of a purely associative kind and, consequently, of a kind that is non-inductive and otherwise non-inferential. The justification for IBE lies in two truths, each analytic, viz. that good explanations eliminate anomalies and, second, that anomaly-elimination is identical with discontinuity-elimination. Given these truisms, along with the empirical data to which even skeptics must grant that we have access, it follows that induction is truth-conducive, a corrollary being that skepticism with regard to the veridicality of our senses is indefensible. Hume's erroneous beliefs about non-deductive inference are consequences of his belief that the world has a digital, as opposed to an analogue, structure--of, in other words, his belief that the spatiotemporal manifold decomposes into minimal units. This belief of his is not only false, but analytically so, and its negation has the consequence--for reasons additional to the one already given---that many forms of skepticism are non-starters. It also has the consequence, later given empirical confirmation by the (apparent) truth of Relativity Theory, that spatiotemporal relations are causal relations. Finally, it has the consequence that, contrary to what Hume argues, there are instances of causation. Additional reinforcemet for this claim is shown to lie in a fact first identified by Kant, viz. that we couldn't even ask whether or not there were instances of causation unless there were in fact such instances. Other, similarly 'transcendental' arguments of Kant's are put forth, sometimes in a modified form, so as to buttress the anti-skeptical positions advocated in thsi paper.