The Principle of Explosion in the Stoic Logic.
I argue that the Stoic logic is explosive. The claim applies to the Stoics' syllogistic in the strictest sense, because there is a provable syllogism which qualifies as a principle of explosion. It applies also to the general consequence operation, in the sense that every sentence is derivable from...
| Publicado en: | Logic & Logical Philosophy Vol. 33; no. 2; pp. 325 - 346 |
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| Formato: | Artículo |
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Logic & Logical Philosophy
Jun2024
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=179651613&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 179651613 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 14253305 DS9 jtl: Logic & Logical Philosophy issn: 14253305 maglogo: N pubinfo: dt: Jun2024 vid: 33 iid: 2 pid: 42904 pub: Logic & Logical Philosophy artinfo: ui: 179651613 10.12775/llp.2024.012 ppf: 325 ppct: 21 formats: fmt: @attributes: type: P size: 755KB tig: atl: The Principle of Explosion in the Stoic Logic. aug: au: Tkaczyk, Marcin affil: Faculty of Philosophy, The John Paul II Catholic University of Lublin su: Logic Explosions Syllogism sug: subj: Logic Explosions Syllogism ab: I argue that the Stoic logic is explosive. The claim applies to the Stoics' syllogistic in the strictest sense, because there is a provable syllogism which qualifies as a principle of explosion. It applies also to the general consequence operation, in the sense that every sentence is derivable from any pair containing both a sentence and the negation of the sentence. Finally, it applies to the connective of implication (conditional), in the sense that any conditional is derivable, providing its antecedent is a conjunction of a sentence and the negation of the sentence. All three claims allow weakening, i.e., additions of extra premises to an inference or extra conjuncts to the antecedent of an implication, respectively. Consequently, no concept of relevance, let alone paraconsistency or connexivity is applicable to the Stoic logic; in particular, the Stoics' connective of implication is either material (Boolean) or formal (strict). pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Logic & Logical Philosophy is the property of Logic & Logical Philosophy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Logic & Logical Philosophy holder: Logic & Logical Philosophy dt: @attributes: year: 2024 holdings: @attributes: islocal: N |
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