Leśniewski's characteristica universalis

Synthese 174 (2):295-314 (2010)

Authors
Arianna Betti
University of Amsterdam
Abstract
Leśniewski’s systems deviate greatly from standard logic in some basic features. The deviant aspects are rather well known, and often cited among the reasons why Leśniewski’s work enjoys little recognition. This paper is an attempt to explain why those aspects should be there at all. Leśniewski built his systems inspired by a dream close to Leibniz’s characteristica universalis: a perfect system of deductive theories encoding our knowledge of the world, based on a perfect language. My main claim is that Leśniewski built his characteristica universalis following the conditions of de Jong and Betti’s Classical Model of Science (2008) to an astounding degree. While showing this I give an overview of the architecture of Leśniewski’s systems and of their fundamental characteristics. I suggest among others that the aesthetic constraints Leśniewski put on axioms and primitive terms have epistemological relevance.
Keywords Leśniewski’s systems  Classical Model of Science  Logic  Axiomatics   characteristica universalis
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DOI 10.1007/s11229-008-9423-6
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References found in this work BETA

Logische Untersuchungen.Edmund Husserl (ed.) - 1900 - Felix Meiner Verlag.
Grundlagen der Arithmetik.Gottlob Frege - 1884 - Breslau: Wilhelm Koebner.

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Colloquium 3: Why Beauty is Truth in All We Know: Aesthetics and Mimesis in Neoplatonic Science1.Marije Martijn - 2010 - Proceedings of the Boston Area Colloquium of Ancient Philosophy 25 (1):69-108.

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