Synthese 174 (2):295-314 (2010)
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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.
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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
Die Grundlagen der Arithmetik. Eine logisch mathematische Untersuchung über den Begriff der Zahl.Gottlob Frege - 1996 - Wittgenstein-Studien 3 (2):993-999.
The Classical Model of Science: A Millennia-Old Model of Scientific Rationality.Willem R. de Jong & Arianna Betti - 2010 - Synthese 174 (2):185-203.
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Citations of this work BETA
The Classical Model of Science: A Millennia-Old Model of Scientific Rationality.Willem R. de Jong & Arianna Betti - 2010 - Synthese 174 (2):185-203.
Is Mereology Ontologically Innocent? Well, It Depends….Christian Feldbacher-Escamilla - 2019 - Philosophia 47 (2):395-424.
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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