Abstract
The fifth lesson recalled the opposing arguments between Locke and Leibniz. For Locke (the Philalèthe of the New Essays), "the reduction of things into species relates only to the ideas we have of them, which is sufficient to distinguish them by names". For Leibniz, who thinks in the register of the infinite possible, essences are eternal: they exist in the divine understanding, where they represent necessary truths, in other words, accessible from any possible world. Leibniz believes in a logical space of possibilities, dependent on God's free choice of one world rather than another, where individual substances are grouped together according to common properties that harmoniously complement each other, drawing natural boundaries between species. In addition to the modal argument, Leibniz invokes the causal history of species and generation (hence the difference between mathematical and physical species):" Two physical individuals will never be perfectly [of a species, for they will never be perfectly] alike, and, what is more, the same individual will pass from species to species, for it is never similar in everything to itself beyond a moment." It is this grounding in nature that prevents us from granting conceptualism as broad a scope as Locke claims:
"[...] whatever regulations men make for their names and for the rights attached to names, provided their regulations are followed or bound and intelligible, they will be founded in reality, and they will not be able to imagine species that nature, which includes even possibilities, has not made or distinguished before them [....] We can therefore say that everything we distinguish or compare with truth, nature also distinguishes or makes suitable, although she has distinctions and comparisons that we do not know and which may be better than ours. So it will still take a great deal of care and experience to assign genera and species in a way that is close enough to nature."
A VI, 14, G, p. 288