Next Article in Journal
Quantum Quasigroups and the Quantum Yang–Baxter Equation
Previous Article in Journal
On the q-Laplace Transform and Related Special Functions
Previous Article in Special Issue
Is Kazimierz Ajdukiewicz’s Concept of a Real Definition Still Important?
Article Menu

Export Article

Open AccessArticle

The Universe in Leśniewski’s Mereology: Some Comments on Sobociński’s Reflections

Department of Logic, Cardinal Stefan Wyszynski University in Warsaw, Wóycickiego 1/3, 01-938 Warsaw, Poland
Author to whom correspondence should be addressed.
Academic Editors: Urszula Wybraniec-Skardowska and Angel Garrido
Axioms 2016, 5(3), 23;
Received: 23 April 2016 / Revised: 23 August 2016 / Accepted: 23 August 2016 / Published: 6 September 2016
(This article belongs to the Special Issue Lvov—Warsaw School)
PDF [266 KB, uploaded 6 September 2016]


Stanisław Leśniewski’s mereology was originally conceived as a theory of foundations of mathematics and it is also for this reason that it has philosophical connotations. The ‘philosophical significance’ of mereology was upheld by Bolesław Sobociński who expressed the view in his correspondence with J.M. Bocheński. As he wrote to Bocheński in 1948: “[...] it is interesting that, being such a simple deductive theory, mereology may prove a number of very general theses reminiscent of metaphysical ontology”. The theses which Sobociński had in mind were related to the mereological notion of “the Universe”. Sobociński listed them in the letter adding his philosophical commentary but he did not give proofs for them and did not specify precisely the theory lying behind them. This is what we want to supply in the first part of our paper. We indicate some connections between the notion of the universe and other specific mereological notions. Motivated by Sobociński’s informal suggestions showing his preference for mereology over the axiomatic set theory in application to philosophy we propose to consider Sobociński’s formalism in a new frame which is the ZFM theory—an extension of Zermelo-Fraenkel set theory by mereological axioms, developed by A. Pietruszczak. In this systematic part we investigate reasons of ’philosophical hopes’ mentioned by Sobociński, pinned on the mereological concept of “the Universe”. View Full-Text
Keywords: Leśniewski; Sobociński; ontology; mereology; the universe Leśniewski; Sobociński; ontology; mereology; the universe
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Łyczak, M.; Porwolik, M.; Świętorzecka, K. The Universe in Leśniewski’s Mereology: Some Comments on Sobociński’s Reflections. Axioms 2016, 5, 23.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top