David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Logica Universalis 2 (2):235-263 (2008)
Our aim is to show that translating the modal graphs of Moretti’s “n-opposition theory” (2004) into set theory by a suited device, through identifying logical modal formulas with appropriate subsets of a characteristic set, one can, in a constructive and exhaustive way, by means of a simple recurring combinatory, exhibit all so-called “logical bi-simplexes of dimension n” (or n-oppositional figures, that is the logical squares, logical hexagons, logical cubes, etc.) contained in the logic produced by any given modal graph (an exhaustiveness which was not possible before). In this paper we shall handle explicitly the classical case of the so-called 3(3)-modal graph (which is, among others, the one of S5), getting to a very elegant tetraicosahedronal geometrisation of this logic
|Keywords||Opposition theory classical modal logic Blanché’s logical hexagon Aristotle’s square logical bisimplexes logical cube β-structure tetraicosahedron n-opposition n-partition of the true strong n-opposition weak n-opposition Moretti’fs modal graph set translation of modal graphs|
|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
Maryann Ayim (1998). Just How Correct is Political Correctness? A Critique of the Opposition's Arguments. Argumentation 12 (4):445-480.
Author unknown, Square of Opposition. Internet Encyclopedia of Philosophy.
Rita Struhkamp (2004). Goals in Their Setting: A Normative Analysis of Goal Setting in Physical Rehabilitation. Health Care Analysis 12 (2):131-155.
Adam Barsky (2008). Understanding the Ethical Cost of Organizational Goal-Setting: A Review and Theory Development. [REVIEW] Journal of Business Ethics 81 (1):63 - 81.
Daniel Callahan (1999). Shaping Biomedical Research Priorities: The Case of the National Institutes of Health. [REVIEW] Health Care Analysis 7 (2):115-129.
Robert E. Goodin (2002). The Paradox of Persisting Opposition. Politics, Philosophy and Economics 1 (1):109-146.
Valentin A. Bazhanov (2008). Non-Classical Stems From Classical: N. A. Vasiliev's Approach to Logic and His Reassessment of the Square of Opposition. [REVIEW] Logica Universalis 2 (1):71-76.
Larry Horn, Lexical Pragmatics and the Geometry of Opposition: The Mystery of *Nall and *Nand Revisited.
Antonino Drago (2008). The Square of Opposition and the Four Fundamental Choices. Logica Universalis 2 (1):127-141.
Added to index2009-01-28
Total downloads14 ( #133,322 of 1,692,473 )
Recent downloads (6 months)2 ( #111,548 of 1,692,473 )
How can I increase my downloads?