David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Transactions of the Charles S. Peirce Society 43 (3):509 - 520 (2007)
: The paper presents some mathematical aspects of the question of reducibility of relations. After giving a formal definition of reducibility we present the basic result (due to Herzberger) to the effect that relations of valency at least 3 are always reducible if the cardinality of the relation is at most equal to the cardinality of the underlying set (which is automatically the case if this set is infinite). In contrast to this, if the term "reduction" is given a practicable form, relations on finite sets are "generically" irreducible, as is shown by a simple counting argument. Next we discuss the question of an "intrinsic" criterion for reducibility. Finally we propose a scheme for the graphic representation of reductions
|Keywords||No keywords specified (fix it)|
|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
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
E. Hermann (1992). 1-Reducibility Inside an M-Degree with Maximal Set. Journal of Symbolic Logic 57 (3):1046-1056.
John Bacon (1986). Supervenience, Necessary Coextensions, and Reducibility. Philosophical Studies 49 (March):163-76.
Andrea Sorbi (1982). ∑0n-Equivalence Relations. Studia Logica 41 (4):351-358.
Samuel Coskey & Joel David Hamkins (2010). Infinite Time Decidable Equivalence Relation Theory. Notre Dame Journal of Formal Logic 52 (2):203-228.
Alessio Moneta (2005). Causality in Macroeconometrics: Some Considerations About Reductionism and Realism. Journal of Economic Methodology 12 (3):433-453.
Karl-Georg Niebergall (2000). On the Logic of Reducibility: Axioms and Examples. [REVIEW] Erkenntnis 53 (1-2):27-61.
Douglas Cenzer (1984). Monotone Reducibility and the Family of Infinite Sets. Journal of Symbolic Logic 49 (3):774-782.
Claudio Bernardi & Andrea Sorbi (1983). Classifying Positive Equivalence Relations. Journal of Symbolic Logic 48 (3):529-538.
Added to index2009-01-28
Total downloads14 ( #264,594 of 1,911,735 )
Recent downloads (6 months)10 ( #61,423 of 1,911,735 )
How can I increase my downloads?