Logic, Induction and Relevance

Paper Summary:

The author of this paper presents an analysis of inductive reasoning based on Patrick Hurley's text on the terms "necessary" and "sufficient". The author states that it should be somewhat easier to demonstrate relevance for an inductive argument, as the association to be established is not as strong as in deductive reasoning. Also, based on criteria established in this paper,the author asserts that, in order to establish relevance in an inductive argument, one must establish that the criterion being argued for is a necessary condition. However, the author asserts that in order to support establishing relevance for an inductive argument, one should insist that each premise be rigorously examined to ascertain whether it is in fact necessary.

From the Paper:

"In Hurley's terms, we might say that what we need to establish relevance for an inductive argument would be to show that the stipulated criterion was a necessary condition. However, because we are only trying to show a probable connection, we do not need to show that the criteria was a sufficient condition, nor do we need to establish that it is relevant by showing that it is a sufficient and necessary condition. In Hurley's terms, what is necessary to evaluate the strength of an argument is to know 'whether the probability of the conclusion rests upon the evidence given in the premises' (Hurley 379). What Hurley is really saying here is that the strength of an inductive argument rests partly on the relevance of its conditions."

Sample of Sources Used:

• Hurley, Patrick H. A Concise Introduction to Logic. Belmont, CA: Wadsworth Publishing Company, 1982.

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