In one of his earliest treatments of the three types of reasoning, from his Harvard Lectures “On the Logic of Science” (1865), Peirce gives an example that illustrates how one and the same proposition might be reached from three different directions, as the end result of an inference in each of the three modes. There is a discussion of this example in my project report on Inquiry and Analogy.
Preceding that section there is a table of diagrams giving a rough illustration of how the three types of inference relate to Aristotle’s figures of the syllogism.
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