Gottfried Wilhelm Leibniz

This is a book review, which I promised to write for the PIR last month.

Reprint. Originally published: T'ubingen: C.F. Osiander, 1822.

In these remarks on Ohad Nachtomy’s account of Leibniz’s philosophy of the infinite in his recent book, Living Mirrors, I focus on his suggestion that living creatures be interpreted as exemplifying the second of the three degrees of infinity that Leibniz articulates in 1676, as things which are infinite in their own kind. For the infinity characterizing created substances cannot be the highest degree, which is reserved by Leibniz for the divine substance, while Nachtomy sees the lowest degree as applicable (...) only to “entia rationis such as numbers and relations”. Against this, I argue that the lowest or syncategorematic infinite applies to any multiplicity or magnitude that is greater than any assignable, so that something further can always be added; whereas the second degree applies to the divine attributes or perfections, which are maximal in that nothing further of that kind can be added. (shrink)

This paper deals with the metaphysics of the notion of quantity in the philosophy of Leibniz, and its aim is to defend the following bi-conditional: for any object x, x has a certain quantity if and only if x has a (metaphysical) limit or a bound. The direction from left to right is justified in §3, while in §4 I develop an argument to justify the direction from right to left. Since the bi-conditional links the metaphysical notion of limit to (...) the mathematical notion of quantity (and in this way it links Leibniz’s metaphysics with his conception of Mathesis Universalis), it allows the use of metaphysics to clarify the features of the mathematical notion of quantity. This task is accomplished in §5 and §6. Finally, §7 discusses a possible objection. (shrink)

This article shows how the so-called digital ontology betrays the metaphysical-theological thought of Leibniz (of which it claims to be heir), giving rise to an apparent “algorithmic providence” which, however, confines subjects in algorithmic types, making it impossible the occurrence of event and of the new. If digital ontology sees in Leibniz a thinker from whom to interpret being on the basis of algorithms, this article – by reconstructing Leibniz’s thought – wants to show not only how the operation of (...) digital ontology is not legitimate, but also how – through Leibniz’s doctrine of the divine decrees – it is possible to think of a praxis effectively generating of event. Starting from Leibniz, therefore, we will describe a metaphysics of the instant, in which the moment of decision and action is untied from algorithmic determinism. In conclusion, the article proposes that the theological-metaphysical notion of Providence can constitute a central idea for thinking a practice that is able to transcend the immanence of virtual reality, dominated by algorithmic determinism and the indefinite reproduction of the identical. (shrink)

When I began to think about a book on Kant and the life sciences, the idea that Kant would ever have been influenced by the ideas coming out of this field seemed impossible to believe. In fact, I spent an entire Summer determined to prove that my thesis was wrong. The problem was, I kept finding evidence in support of it (fully one third of Kant’s Organicism is devoted to a glut of historical research filling up the endnotes, research stemming, (...) for the most part, from an initial disbelief in my own hypothesis). Most of the scholars who had considered this connection before me had had their training in the history of science. My situation was different, I had been trained in philosophy. I knew my Descartes but I had never read Harvey; I had written on Locke but I had never heard of Ray…. (shrink)