 Brentano rejects almost all these principles. After translating the categorical propositions into existential form, he concludes that (i) and (ii) are the only rules correctly identified by traditional logic. (iii) to (vi) turn out to be mistaken if S is an empty term. (vii) and (viii) are correct principles, but no real conversion of a judgement takes place. The converted propositions simply express one judgement in two ways. This is why Brentano says that his theory