2003/03/25 by Andrew Aberdein, Aberdein, Andrew
Arts and Humanities · Computer Science · Mathematics · #03A05 #03B20 #03B47 #Advanced Algebra and Logic #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge #Philosophy and History of Science #math.LO #msc:03A05 #msc:03B20 #msc:03B47
paper · pdf · doi:10.48550/arxiv.math/0303313
8 pages, 1 figure. Published in Logica e filosofia delle scienze: Atti del sesto convegno triennale, V. Fano, M. Stanzione & G. Tarozzi, edd. (Catanzaro: Rubettino, 2001), pp. 11-18
arxiv created 2003/03/25 · openalex publication_date 2003/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The recapture relationship is an important element to any understanding of the connexion between different systems of logic. Loosely speaking, one system of logic recaptures another if it is possible to specify a subsystem of the former system which exhibits the same patterns of inference as the latter system. In particular if a relationship of this kind can be shown to exist between a non-classical logic and classical logic, the non-classical system is said to exhibit classical recapture. This has been invoked by several proponents of non-classical logics to argue that their system retains classical logic as a limit case, and is therefore a methodologically progressive successor to classical logic. In this paper I advance and defend a new and more precise account of recapture and the character of its reception by the proponents of the recapturing system. I then indicate some of the applications of classical recapture which this account makes possible.