Abstract

Logic can be described as a systematized way of analyzing argument type and structure. Within philosophical logic there are different types of arguments: deductive, abductive, and inductive. Deductive arguments attempt to guarantee the truth of the conclusion, whereas abductive arguments attempt to provide some explanatory hypothesis for some proposition. Inductive arguments, on the other hand, attempt to make either a universal or statistical generalizations from a set of premises – this is called enumerative induction. Although enumerative induction is used frequently, it is plagued with a very well‐known problem – the problem of induction. This problem identifies, as justification for the conclusion, an inductive principle called the principle of the uniformity of nature (PUN). Recent enunciations of enumerative induction using Bayesian mechanics have attempted to sidestep this problem and the PUN with tenable results.

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