Structuralist logic: Implications, inferences, and consequences
Logica Universalis 1 (1) (2007)
| Abstract | . On a structuralist account of logic, the logical operators, as well as modal operators are defined by the specific ways that they interact with respect to implication. As a consequence, the same logical operator (conjunction, negation etc.) can appear to be very different with a variation in the implication relation of a structure. We illustrate this idea by showing that certain operators that are usually regarded as extra-logical concepts (Tarskian algebraic operations on theories, mereological sum, products and negates of individuals, intuitionistic operations on mathematical problems, epistemic operations on certain belief states) are simply the logical operators that are deployed in different implication structures. That makes certain logical notions more omnipresent than one would think. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,709 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesKatalin Bimbó (2010). Schönfinkel-Type Operators for Classical Logic. Studia Logica 95 (3):355-378.
Jonathan P. Seldin (2000). On the Role of Implication in Formal Logic. Journal of Symbolic Logic 65 (3):1076-1114.
Denis Bonnay (2006). Logicality and Invariance. Bulletin of Symbolic Logic 14 (1):29-68.
Sonja Smets (2006). From Intuitionistic Logic to Dynamic Operational Quantum Logic. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):257-275.
Lloyd Humberstone (2008). Contrariety and Subcontrariety: The Anatomy of Negation (with Special Reference to an Example of J.-Y. Béziau). Theoria 71 (3):241-262.
Dominique Luzeaux, Jean Sallantin & Christopher Dartnell (2008). Logical Extensions of Aristotle's Square. Logica Universalis 2 (1).
Ken Akiba (1996). Logic as Instrument: The Millian View on the Role of Logic. History and Philosophy of Logic 17 (1-2):73-83.
Arnold Koslow (1992/2005). A Structuralist Theory of Logic. Cambridge University Press.
Majda Trobok (2008). A Structuralist Account of Logic. Croatian Journal of Philosophy 8 (2):257-265.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads13 ( #88,037 of 550,854 )Recent downloads (6 months)1 ( #63,425 of 550,854 )How can I increase my downloads? |
My notes
Discussion
