Abstract

In his article, Florian Vermeiren attributes to Leibniz – like other interpreters before him – the distinction of two different kinds of relations: 1) relations in the proper sense of the word as, for example, the fatherhood subsisting between Sophroniscus and Socrates, which Leibniz considers situated ‘outside the subjects’ involved; 2) relational properties, such as being a father, inherent in Sophroniscus. The distinction is clearly present in Leibniz’s writings. According to Vermeiren, Leibniz considers ‘purely mental’ only the relations ‘out of the subjects’ and not the relational predicates, by means of which, on the other hand, the individuals of the Leibnizian world would be truly related. In this sense, therefore, Leibniz would admit the reality of relations, which would play an important role in his ontology. At least since 1686 (the year in which he wrote the Discourse), however, Leibniz states that the world is made only of individuals with their internal modifications: just as there are no properties with a leg in one subject and a leg in another, there are no individuals bound together by any kind of material nexus or ‘real’ ties. Thus, if we make a list of all fathers on the one hand and sons on the other, there remains the problem of how to properly connect the fathers exactly with their sons. Attributing to each of two related individuals a relational property is not enough to connect them. Being a father in David must necessarily refer in some way to Solomon as a son. Leibniz is aware of this, as his attempts to analyze relational propositions in his essays on rational grammar show. Given the sentence ‘Cajus is killed by Titius’ for example, Leibniz attempts to reduce it to an inference between a pair of categorical sentences, each of which attributes a relational predicate to the subject. Relations (and relational properties) result from the substances and their modes, “without producing any change” of themselves but only in virtue of a consequence, that is of a logical inference. The image of the world derived so from the Monadology and other Leibnizian writings is that of a world composed of a collection of isolated individuals, independent of each other and lacking mutual connections. Relational properties correspond to internal modifications of each individual: the second term, in the case of binary relations (the ‘external’ one: Helen, if Paris loves Helen) is resolved into an internal representation (of Paris, in this case). It is God who coordinates the various representations of individuals with each other, to result in a harmonious whole. Since relations are a consequence of the existence of the individual substances with their intrinsic properties, God himself can be said to be the creator of relations, in so far as he calls the individuals into existence. And this is exactly what Leibniz states, in his commentary on Temmik’s book.