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
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11229-008-9423-6
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 55,873
Through your library

References found in this work BETA

Grundlagen der Arithmetik.Gottlob Frege - 1884 - Breslau: Wilhelm Koebner Verlag.
Die Grundlagen der Arithmetik.Gottlob Frege - 1988 - Felix Meiner Verlag.
The Logical Systems of Lesniewski.Eugene C. Luschei - 1962 - Amsterdam: North-Holland Pub. Co..

View all 22 references / Add more references

Citations of this work BETA

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.

Add more citations

Similar books and articles

Leśniewski, Lecteur de Frege. [REVIEW]A. Betti - 2009 - History and Philosophy of Logic 30 (2):200-201.
Lesniewski and Ontological Commitment.Peter Simons - 1995 - In Denis Miéville & D. Vernant (eds.), Stanislaw Lesniewski Aujourd'hui. Université De Grenoble. pp. 103-119.
Lesniewski and Russell's Paradox: Some Problems.Rafal Urbaniak - 2008 - History and Philosophy of Logic 29 (2):115-146.
Łukasiewicz and Leśniewski on Contradiction.A. Betti - 2004 - Reports on Philosophy 127:267-287.
Die Characteristica Universalis bei Leibniz.Wilhelm Risse - 1969 - Studi Internazionali Di Filosofia 1:107-116.
Lesniewski's Early Liar, Tarski and Natural Language.Arianna Betti - 2004 - Annals of Pure and Applied Logic 127 (1-3):267-287.

Analytics

Added to PP index
2009-01-28

Total views
137 ( #69,594 of 2,401,776 )

Recent downloads (6 months)
14 ( #49,993 of 2,401,776 )

How can I increase my downloads?

Downloads

My notes