A reconstruction of Aristotle's modal syllogistic

Autor:	Marko Malink
Rok vydání:	2006
Předmět:	History Normal modal logic business.industry Term logic Syllogism Modal logic S5 Epistemology History and Philosophy of Science Accessibility relation Logic of class Artificial intelligence Boole's syllogistic business Mathematics
Zdroj:	History and Philosophy of Logic. 27:95-141
ISSN:	1464-5149 0144-5340
DOI:	10.1080/01445340500405130
Popis:	Ever since Łukasiewicz, it has been opinio communis that Aristotle's modal syllogistic is incomprehensible due to its many faults and inconsistencies, and that there is no hope of finding a single consistent formal model for it. The aim of this paper is to disprove these claims by giving such a model. My main points shall be, first, that Aristotle's syllogistic is a pure term logic that does not recognize an extra syntactic category of individual symbols besides syllogistic terms and, second, that Aristotelian modalities are to be understood as certain relations between terms as described in the theory of the predicables developed in the Topics. Semantics for modal syllogistic is to be based on Aristotelian genus-species trees. The reason that attempts at consistently reconstructing modal syllogistic have failed up to now lies not in the modal syllogistic itself, but in the inappropriate application of modern modal logic and extensional set theory to the modal syllogistic. After formalizing the underlying...
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6eef7e5c78650ed78cd08efd3969462a https://doi.org/10.1080/01445340500405130 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.