David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 36 (6):641 - 657 (2007)
The new system of axioms we propose is based on the foundational theory of De Giorgi et al. Scuola Normale Superiore di Pisa, Preprints di Matematica 26: 1 (1996) slightly modified. In that paper (which is dedicated to a new axiomatic framework for mathematics, informatics and logic) the authors use two kinds of primitive notions: relations and qualities. Since their system is based on the distribution paradigm, they start from distinction. We propose to shift the perspective and to start from unity and then from within unity to pass to distinction; to this end we apply ideas of Lesniewski, Nijhoff International Philosophy Series 44 (1992). We introduce only one kind of entity as a primitive notion, namely relations, and treat qualities as articulations of relations. The new concept of "primary relation" permits the introduction of a dynamic, non-standard form of identity, which we hope will find application in various fields where self-referential structures are required
|Keywords||distribution paradigm dynamic oneness primary relations|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Bertrand Russell (1919). Introduction to Mathematical Philosophy. Dover Publications.
Bertrand Russell (1938). The Principles of Mathematics. Journal of Philosophy 35 (7):191-192.
Robert E. Clay (1968). The Consistency of Leśniewski's Mereology Relative to the Real Number System. Journal of Symbolic Logic 33 (2):251-257.
Carlo Cellucci (1998). La Ragioni Della Logica. Monograph Collection (Matt - Pseudo).
Citations of this work BETA
Danie Strauss (2013). Primitive Terms and the Limits of Conceptual Understanding. South African Journal of Philosophy 32 (2):173-185.
Similar books and articles
Tiansi Dong (2008). A Comment on Rcc: From Rcc to Rcc ++. Journal of Philosophical Logic 37 (4):319 - 352.
Jan-Willem Romeijn (2006). Analogical Predictions for Explicit Similarity. Erkenntnis 64 (2):253 - 280.
Robert Pasnau (2006). A Theory of Secondary Qualities. Philosophy and Phenomenological Research 73 (3):568–591.
Ian Pratt-Hartmann & Dominik Schoop (2002). Elementary Polyhedral Mereotopology. Journal of Philosophical Logic 31 (5):469-498.
Johan E. Gustafsson (2011). An Extended Framework for Preference Relations. Economics and Philosophy 27 (3):360–367.
Edward N. Zalta (1982). Meinongian Type Theory and its Applications. Studia Logica 41 (2-3):297-307.
Dale Jacquette (2013). Qualities, Relations, and Property Exemplification. Axiomathes 23 (2):381-399.
Thomas Bittner, Maureen Donnelly & Barry Smith (2004). Individuals, Universals, Collections: On the Foundational Relations of Ontology. In Achille Varzi & Laure Vieu (eds.), Formal Ontology in Information Systems. Proceedings of the Third International Conference, 37–48. IOS Press 37–48..
Michael C. Rea (2006). Polytheism and Christian Belief. Journal of Theological Studies 57:133-48.
Added to index2009-01-28
Total downloads18 ( #206,290 of 1,907,095 )
Recent downloads (6 months)1 ( #467,622 of 1,907,095 )
How can I increase my downloads?