In the analysis of syllogistic reasoning, a type of inference patternbased on the chaining of terms through quantified statements, two interpretationsabout them can be found in the literature. One is the so-called set-based interpretation,which assumes that quantified statements and syllogisms talk aboutquantity-relationships between sets. The other one, the so-called conditionalinterpretation, assumes that they talk about conditional propositions and howstrong are the links between the antecedent and the consequent. In this paper,we expose both models and formulate three relevant questions to be (...) taken intoaccount for a further development of this type of reasoning. (shrink)