In a text written during his stay in Paris, Leibniz, to deny ontological reality to relations, employs an argument well known to the medieval thinkers and which later would be revived by Francis H. Bradley. If one assumes that relations are real and that a relation links any property to a subject – so runs the argument – then one falls prey to an infinite regress. Leibniz seems to be well aware of the consequences that this argument has for his (...) own metaphysical views, where the relation of inherence (‘inesse’) plays such a central role. Thus, he attempts first to interpret the relation of inherence as something ‘metaphoric’, originating from our ‘spatial way’ of looking at the surrounding world; and then he tries to reduce it to the part-whole relation which clearly he considers weaker, from the ontological point of view, than that of ‘being in’. (shrink)

In this paper I argue that what has been called Leibniz’s “aggregate argument” for unities in things in fact comprises three quite distinct lines of argument, with different concepts being advanced under the name ‘unity’ and meriting quite different conceptual treatment. Two of those arguments, what I call the Borrowed Reality Argument and the Multitude Argument, also appear in later writings to be further elaborated into arguments not just for unities but for simples. I consider the arguments in detail. I (...) suggest that one of the two, the Borrowed Reality Argument, is philosophically more promising and has the stronger evidence for being central in Leibniz’s thought as he argues for the existence of simple substances. (shrink)

This paper consists in a study of Leibniz’s argument for the infinite plurality of substances, versions of which recur throughout his mature corpus. It goes roughly as follows: since every body is actually divided into further bodies, it is therefore not a unity but an infinite aggregate; the reality of an aggregate, however, reduces to the reality of the unities it presupposes; the reality of body, therefore, entails an actual infinity of constituent unities everywhere in it. I argue that this (...) depends on a generalized notion of aggregation, according to which a thing may be an aggregate of its constituents if every one of its actual parts presupposes such constituents, but is not composed from them. One of the premises of this argument is the reality of bodies. If this premise is denied, Leibniz’s argument for the infinitude of substances, and even of their plurality, cannot go through. (shrink)

Legendary since his own time as a universal genius, Gottfried Wilhelm Leibniz (1646-1716) contributed significantly to almost every branch of learning. One of the creators of modern mathematics, and probably the most sophisticated logician between the Middle Ages and Frege, as well as a pioneer of ecumenical theology, he also wrote extensively on such diverse subjects as history, geology, and physics. But the part of his work that is most studied today is probably his writings in metaphysics, which have been (...) the focus of particularly lively philosophical discussion in the last twenty years or so. The writings contain one of the great classic systems of modern philosophy, but the system must be pieced together from a vast and miscellaneous array of manuscripts, letters, articles, and books, in a way that makes especially strenuous demands on scholarship. This book presents an in-depth interpretation of three important parts of Leibniz's metaphysics, thoroughly grounded in the texts as well as in philosophical analysis and critique. The three areas discussed are the metaphysical part of Leibniz's philosophy of logic, his essentially theological treatment of the central issues of ontology, and his theory of substance (the famous theory of monads). (shrink)

This translation of Suarez's 54th Disputation documents the ancient Greek and Medieval sources of his discussion. It also considers Suarez's influence upon hitherto unknown late scholastic writers and the relevance of his intentionality theory to figures such as Descartes and Kant.

Gottfried Wilhelm Leibniz was one of the central figures of seventeenth-century philosophy, and a huge intellectual figure in his age. This book from Glenn A. Hartz is an advanced study of Leibniz's metaphysics. Hartz analyzes a very complicated topic, widely discussed in contemporary commentaries on Leibniz, namely the question of whether Leibniz was a metaphysical idealist, realist, or whether he tried to reconcile both trends in his mature philosophy. Because Leibniz is notoriously unclear about this, much has been written on (...) the subject. In recent years, the debate has centered on whether it is possible to maintain compatibility between the two trends. In this controversial book, Hartz demonstrates that it is not possible to maintain compatibility of idealist and realist views - they must be understood as completely separate theories. As the first major work on realism in Leibniz's metaphysics, this key text will interest international Leibniz scholars, as well as students at the graduate level. (shrink)

Daniel Garber presents a study of Leibniz's conception of the physical world, elucidating his puzzling metaphysics of monads, mind-like simple substances.

In der neuen Literatur tiber Leibniz' Spatphilosophie findet man zwei deutlich einander entgegengesetzte Theorien Uber die Realitat des Körpers. Auf der einen Seite gibt es Gesichtspunkte, die ihn mit einer Phänomenalismuslehre verbinden, nach welcher die Körper nichts anderes als koordinierte Perzeptionen unausgedehnter Monaden sind. Auf der anderen Seite gibt es Griinde, die dafur sprechen, daß Leibniz die Auffassung vertreten muß, daß Körper Aggregate von Monaden sind. In diesem Aufsatz suche ich zu zeigen, daß die phanomenalistische Interpretation aufgrund der starken Textzeugnisse, (...) die Leibniz beständig zur Aggregatthese hindrängen, zuriickzuweisen ist. Daruber hinaus weise ich jedoch die verbreitete Auffassung eben der Aggregatthese zurück, d. h. die Meinung, gewisse Vielheiten von Monaden riefen bloß die Illusion, Körper zu sein, hervor, wenn sie durch andere Monaden M falsch perzipiert" werden. Gegen diese Auffassung des falschen Perzipierens ftihre ich ins Feld, daß die Aggregatthese als ein Deutungsversuch der Natur oder des Wesens des Körpers verstanden werden mufi. Wenn Leibniz sagt, Körper seien Aggregate von Monaden, so ist das nicht als blofie Behauptung, gewisse Monaden erschienen anderen Monaden als Körper, zu verstehen, sondern als die These, daß jeder Körper seinem Wesen nach eine Vielheit von Monadenist. (shrink)