Skip to main content Accessibility help
×
Home
Hostname: page-component-56f9d74cfd-89lq7 Total loading time: 0.226 Render date: 2022-06-26T11:26:07.152Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "useNewApi": true }

ON SOME AMBIGUITIES IN IBN SĪNĀ’S ANALYSIS OF THE QUANTIFIED HYPOTHETICAL PROPOSITIONS

Published online by Cambridge University Press:  11 February 2022

Saloua Chatti*
Affiliation:
Retired from the University of Tunis

Abstract

In his analysis of the hypothetical (šarṭīyya) connected (muttaṣila) and disjunctive (munfaṣila) propositions (Al-qiyās, section V), Ibn Sīnā suggests that they can be quantified and presents in section VI a hypothetical system containing the conditional ones, which is exactly parallel to categorical syllogistic and makes use of the same conversion rules and the same proofs. In section VII, he provides four lists of hypothetical quantified propositions whose clauses are themselves quantified and says that the relations of the Aristotelian square of opposition hold for them. In addition, he says that some conditional universal affirmative propositions are equivalent to some universal negative ones with opposed consequents, and to some quantified disjunctive ones. The problem is that these claims are incompatible with each other, since they require two different readings of the universal affirmative conditional proposition, which Ibn Sīnā does not distinguish clearly. In this paper we solve the problem by distinguishing explicitly between these two readings and showing that the first one satisfies the conversion rule of the universal affirmative and the relations of the logical square, and validates all the admitted moods, while the second one satisfies the contraposition rule and the equivalences stated by Ibn Sīnā. This accounts for all Ibn Sīnā’s claims and makes the system coherent.

Résumé

Résumé

Dans son analyse des propositions hypothétiques (šarṭīyya), conditionnelles (muttaṣila) et disjonctives (munfaṣila) (Al-qiyās, section V), Ibn Sīnā suggère que ces propositions peuvent être quantifiées et présente dans la section VI de son traité un système hypothétique contenant les propositions conditionnelles, qui est exactement parallèle à la syllogistique des propositions catégoriques et utilise les mêmes règles de conversion et les mêmes démonstrations. Dans la section VII, il présente quatre listes de propositions hypothétiques quantifiées dont les composants sont eux-mêmes quantifiés et affirme que les relations du carré aristotélicien des oppositions valent pour ces propositions. Par ailleurs, il affirme que certaines propositions conditionnelles universelles affirmatives sont équivalentes à certaines universelles négatives dont les conséquents sont opposés, et également à certaines propositions disjonctives. Le problème est que ces thèses sont incompatibles entre elles, car elles requièrent deux lectures différentes de la proposition conditionnelle universelle affirmative, qu'Ibn Sīnā ne distingue pas clairement. Dans le présent article nous résolvons le problème en distinguant explicitement entre ces deux interprétations et en montrant que la première valide la conversion de l'universelle affirmative et les relations du carré des oppositions ainsi que tous les modes admis, alors que la seconde valide la règle de contraposition et les équivalences énoncées par Ibn Sīnā, ce qui rend compte des affirmations d'Ibn Sīnā et rend le système cohérent.

Type
Research Article
Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

ON SOME AMBIGUITIES IN IBN SĪNĀ’S ANALYSIS OF THE QUANTIFIED HYPOTHETICAL PROPOSITIONS
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

ON SOME AMBIGUITIES IN IBN SĪNĀ’S ANALYSIS OF THE QUANTIFIED HYPOTHETICAL PROPOSITIONS
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

ON SOME AMBIGUITIES IN IBN SĪNĀ’S ANALYSIS OF THE QUANTIFIED HYPOTHETICAL PROPOSITIONS
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *