All of these issues are part of the problem.We can instead regard the inductive rule as resulting in a posit, or statement that we deal with as if it is true.Hume makes a distinction between relations of ideas and matters of fact.

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On his view, one can gain a priori knowledge of these concepts, including the concept of causation, by a transcendental argument concerning the necessary preconditions of experience.This syllogism can be combined with an observation about the behavior of increasingly large samples.

Norton puts forward the similar idea that all inductive inferences are material, and have nothing formal in common (Norton 2003).There are also those who dispute the consequences of the dilemma.