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Compossibility and being in the same world in Leibniz's metaphysics

Olli Koistinen & Arto Repo

Studia Leibnitiana 31 (2):196-214 (1999)

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(1 other version)Leibniz on compossibility.James Messina & Donald Rutherford - 2009 - Philosophy Compass 4 (6):962-977.details Leibniz's well-known thesis that the actual world is just one among many possible worlds relies on the claim that some possibles are incompossible , meaning that they cannot belong to the same world. Notwithstanding its central role in Leibniz's philosophy, commentators have disagreed about how to understand the compossibility relation. We examine several influential interpretations and demonstrate their shortcomings. We then sketch a new reading, the cosmological interpretation, and argue that it accommodates two key conditions that any successful interpretation must (...) satisfy. (shrink) Download Export citation Bookmark 10 citations
(1 other version)L'existence leibnizienne.Jean-Baptiste Jeangène Vilmer - 2007 - Archives de Philosophie 70 (1):249-273.details Deuxième volet d'une étude consacrée à la possibilité et l'existence chez Leibniz, cet article tente de reconstruire la conception leibnizienne de l'existence, notion fondamentale qui soutient toute l'ontologie de l'auteur et qui n'est pourtant ni clairement définie ni systématisée. En trois parties, nous établissons que l'existence leibnizienne est bien un degré de possibilité, un ajout, un complément, mais elle n'ajoute rien de nouveau. Elle n'est pas une perfection, mais une relation comparative de perfections entre elles. Elle n'est pas un prédicat (...) Download Export citation Bookmark 1 citation
Leibniz’s Theory of Universal Expression Explicated.Ari Maunu - 2008 - Canadian Journal of Philosophy 38 (2):247-267.details According Leibniz's thesis of universal expression, each substance expresses the whole world, i.e. all other substances, or, as Leibniz frequently states, from any given complete individual notion (which includes, in internal terms, everything truly attributable to a substance) one can "deduce" or "infer" all truths about the whole world. On the other hand, in Leibniz's view each (created) substance is internally individuated, self-sufficient and independent of other (created) substances. What may be called Leibniz's expression problem is, how to reconcile these (...) Download Export citation Bookmark 2 citations
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
(1 other version)L'existence leibnizienne.Jean-Baptiste Jeangène Vilmer - 2007 - Archives de Philosophie 2 (2):249-272.details Deuxième volet d’une étude consacrée à la possibilité et l’existence chez Leibniz, cet article tente de reconstruire la conception leibnizienne de l’existence, notion fondamentale qui soutient toute l’ontologie de l’auteur et qui n’est pourtant ni clairement définie ni systématisée. En trois parties, nous établissons que l’existence leibnizienne est bien un degré de possibilité, un ajout, un complément, mais elle n’ajoute rien de nouveau. Elle n’est pas une perfection, mais une relation comparative de perfections entre elles. Elle n’est pas un prédicat (...) Download Export citation Bookmark 1 citation

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