Article ID: CBB001550608

Leibniz and the Square: A Deontic Logic for the Vir Bonus (2014)

unapi

Johns, Chris (Author)


History and Philosophy of Logic
Volume: 35, no. 4
Issue: 4
Pages: 369-376
Publication date: 2014
Language: English


Publication Date: 2014
Edition Details: Part of a Series: “The Square of Opposition”

Seventeenth century philosopher Gottfried Leibniz's contributions to metaphysics, mathematics, and logic are well known. Lesser known is his `invention' of deontic logic, and that his invention derives from the alethic logic of the Aristotelian square of opposition. In this paper, I show how Leibniz developed this `logic of duties', which designates actions as `possible, necessary, impossible, and omissible' for a `vir bonus' (good person). I show that for Leibniz, deontic logic can determine whether a given action, e.g. as permitted, is therefore obligatory or prohibited (impossible). Secondly, since the deontic modes are derived from what is possible, necessary, etc., for a good person to do, and that `right and obligation' are the `moral qualities' of a good person, we can see how Leibniz derives deontic logic from these moral qualities. Finally, I show how Leibniz grounds a central deontic concept, namely obligation, in the human capacity for freedom.

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Article Beziau, Jean-Yves; Read, Stephen (2014) Square of Opposition: A Diagram and a Theory in Historical Perspective. History and Philosophy of Logic (pp. 315-316). unapi

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Authors & Contributors
Ahnert, Thomas J.
Blåsjö, Viktor
Brown, Richard C.
Debuiche, Valérie
Di Bella, Stefano
Dunlop, Katherine Laura
Journals
Revue de Synthèse
British Journal for the History of Philosophy
Historia Mathematica
Studies in History and Philosophy of Science
Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period
Publishers
Olschki
Oxford University Press
World Scientific
Concepts
Logic
Philosophy
Metaphysics
Mathematics
Cross-cultural interaction; cultural influence
Calculus
People
Leibniz, Gottfried Wilhelm von
Wolff, Christian von
Descartes, René
Fardella, Michelangelo
Heidegger, Martin
Hobbes, Thomas
Time Periods
17th century
18th century
20th century, early
19th century
Early modern
20th century
Places
Germany
Italy
France
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