 A major scholarly debate concerns the question of whether the enthymeme is actually meant to be a genuine sullogismos, i.e. a deductive argument, or whether it is only a ‘sullogismos of a kind’, i.e. a sullogismos in an attenuated sense, which would amount to saying that Aristotelian enthymemes, even though they are introduced as sullogismoi, are or include ‘relaxed inferences’, i.e. inferences that are not logically valid (see Burnyeat 1994, 1996). This suggestion has been widely accepted, presumably because it helps to solve the alleged paradox that, although Aristotle defines the enthymeme as a sullogismos, the logical form of the enthymemes that are actually given as examples in the Rhetoric does not seem to conform to that of the categorical syllogisms that we know from his Prior Analytics (a problem that, by the way, might also be addressed by assuming that the enthymeme corresponds to the form of deductive arguments we find in the Topics, not to the ones familiar from the Prior Analytics). Others accepted this suggestion primarily in order to accommodate the non-necessary sign arguments from Rhetoric I.2 (see  § 6.5),  which are treated as a type of enthymeme (without being flagged as merely ‘seeming enthymeme’), but are said not to yield a sullogismos (see e.g. Allen 2001).