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Mereology in Leibniz's logic and philosophy

Hans Burkhardt & Wolfgang Degen

Topoi 9 (1):3-13 (1990)

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Divine mathematics: Leibniz's combinatorial theory of compossibility.Jun Young Kim - 2024 - Studies in History and Philosophy of Science Part A 106 (C):60-69.details Leibniz's famous proposition that God has created the best of all possible worlds holds a significant place in his philosophical system. However, the precise manner in which God determines which world is the best remains somewhat ambiguous. Leibniz suggests that a form of "Divine mathematics" is employed to construct and evaluate possible worlds. In this paper, I uncover the underlying mechanics of Divine mathematics by formally reconstructing it. I argue that Divine mathematics is a one-player combinatorial game, in which God's (...) Download Export citation Bookmark
Mereology and mathematics: Christian Wolff's foundational programme.Matteo Favaretti Camposampiero - 2019 - British Journal for the History of Philosophy 27 (6):1151-1172.details ABSTRACTHow did the traditional doctrine of parts and wholes evolve into contemporary formal mereology? This paper argues that a crucial missing link may lie in the early modern and especially Wolf... Download Export citation Bookmark 1 citation
Whole-Parts Relations in Early Modern Philosophy.Emanuele Costa - 2021 - Encyclopedia of Early Modern Philosophy and the Sciences.details The approach adopted by Early Modern authors to the notions of ‘whole’ and ‘part’ (what is called, in contemporary metaphysics, “mereology”, from the Ancient Greek word μερος: ‘part’) constitutes a central feature of their respective systems. The issue of what constituted a whole became all the more crucial as the new, revolutionary approaches to matter and extension – which mark the unavoidably fuzzy beginning of what we define as “modernity” – demanded a novel (and in some cases, radical) approach to (...) Download Export citation Bookmark
Applications and limits of mereology. From the theory of parts to the theory of wholes.Massimo Libardi - 1994 - Axiomathes 5 (1):13-54.details The discovery of the importance of mereology follows and does not precede the formalisation of the theory. In particular, it was only after the construction of an axiomatic theory of the part-whole relation by the Polish logician Stanisław Leśniewski that any attempt was made to reinterpret some periods in the history of philosophy in the light of the theory of parts and wholes. Secondly, the push for formalisation - and the individuation of mereology as a specific theoretical field - arise (...) Download Export citation Bookmark
Brentano’s Mereology.Wilhelm Baumgartner & Peter Simons - 1994 - Axiomathes 5 (1):55-76.details Download Export citation Bookmark 12 citations

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