In light of recent developments in argumentation theory, we begin by considering the account that Aristotle gives of what he calls sophistical refutations and of the usefulness of being able to recognise various species of them. His diagnosis of one of his examples of the grouping that he labels epomenon is then compared with a very recent account of the matter, which, like Aristotle, calls on us to attribute a mistake or confusion to anyone who uses this kind of argument. (...) From examination of three other examples that Aristotle himself supplies of epomenon, it appears that there are cases of inferences of this kind that we need not, and perhaps cannot, avoid making. The suggestion is made that this is because the whole family of what Peirce calls abductions have important characteristics in common with epomenon. (shrink)

The incompleteness and artificiality of the ?traditional logic? of the textbooks is reflected in the way that syllogisms are commonly enumerated. The number said to be valid varies, but all the numbers given are of a kind that logicians should find irritating. Even the apparent harmony of what is almost invariably said to be the total number of syllogisms, 256, turns out to be illusory. In the following, it is shown that the concept of a distribution-value, which is related to (...) the traditional theory of distribution, and the familiar concept of quantity together suffice to produce a far better way of enumerating syllogisms and a more complete understanding of the systematic features of syllogistic logic. (shrink)