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The exceptive syllogism
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The exceptive syllogism
Proof · al-qiyās al-istithnāʾī · pp. 17–18
القِياسُ الاسْتِثْنائِيُّ
Черновик · ждёт проверки
Persian text after the print of Kanpur 1279/1862–63 · translation by The Mantiqi, draft
About this text
al-Ṣughrā الصُّغْرَى
al-Sayyid al-Sharīf al-Jurjānī (d. 816/1413)
- Text
- Persian, transcribed by The Mantiqi from the lithograph, without its marginal glosses: Majmūʿa-yi manṭiq, Maṭbaʿ-i Alṭāfī, Kanpur 1279/1862–63, pp. 1–8 of the Ṣughrā, after the Kubrā View the scan
- Lessons follow
- al-Manṭiq al-manhajī li-l-mubtadiʾīn: al-Ṣughrā wa-l-Awsaṭ wa-l-Kubrā, Arabic version and arrangement by Muḥammad Anwar al-Badakhshānī (Jāmiʿat al-ʿUlūm al-Islāmiyya, ʿAllāma Banūrī Town), Islam Insight, Karachi 1420/1999, pp. 5–18. The lessons are The Mantiqi's own explanations in the order of this edition; its text is under copyright and is not reproduced.
- Translation
- The Mantiqi's own, into English and into vocalised Arabic; a draft. The Arabic is translated from the Persian, not taken from a printed Arabic version.
- Review
- Draft, awaiting review by Ustadh Muhammad Yusuf.
The text
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Persian original, Majmūʿa-yi manṭiq, Kanpur 1279/1862–63
و اگر دلیل مرکب شود از متصله یا از منفصله آن را قیاس استثنائی خوانند. مثال متصله چون کلما کان هذا الشیء انساناً کان حیواناً، لکنه انسان فهو حیوان، لکنه لیس بحیوان فلیس بانسان. مثال منفصلهٔ حقیقیه چون هذا العدد اما زوج و اما فرد، لکنه زوج فلیس بفرد، لکنه فرد فلیس بزوج، لکنه لیس بزوج فهو فرد، لکنه لیس بفرد فهو زوج. والله اعلم. تمت الرسالة الصغری.
And if a proof is made of a connective or a disjunctive, it is called an exceptive syllogism (qiyās istithnāʾī). An example with a connective: “whenever this thing is a man, it is an animal; but it is a man, so it is an animal; but it is not an animal, so it is not a man.” An example with a real disjunctive: “this number is either even or odd; but it is even, so it is not odd; but it is odd, so it is not even; but it is not even, so it is odd; but it is not odd, so it is even.” And God knows best. Here ends the Ṣughrā.
Arabic translation
وَإِذَا تَرَكَّبَ الدَّلِيلُ مِنَ الْمُتَّصِلَةِ أَوِ الْمُنْفَصِلَةِ سُمِّيَ قِيَاسًا اسْتِثْنَائِيًّا. مِثَالُ الْمُتَّصِلَةِ: كُلَّمَا كَانَ هٰذَا الشَّيْءُ إِنْسَانًا كَانَ حَيَوَانًا، لٰكِنَّهُ إِنْسَانٌ فَهُوَ حَيَوَانٌ، لٰكِنَّهُ لَيْسَ بِحَيَوَانٍ فَلَيْسَ بِإِنْسَانٍ. وَمِثَالُ الْمُنْفَصِلَةِ الْحَقِيقِيَّةِ: هٰذَا الْعَدَدُ إِمَّا زَوْجٌ أَوْ فَرْدٌ، لٰكِنَّهُ زَوْجٌ فَلَيْسَ بِفَرْدٍ، لٰكِنَّهُ فَرْدٌ فَلَيْسَ بِزَوْجٍ، لٰكِنَّهُ لَيْسَ بِزَوْجٍ فَهُوَ فَرْدٌ، لٰكِنَّهُ لَيْسَ بِفَرْدٍ فَهُوَ زَوْجٌ. وَاللّٰهُ أَعْلَمُ. تَمَّتِ الرِّسَالَةُ الصُّغْرَى.
The lesson
A proof made of or is called the (qiyās istithnāʾī), because its second begins with “but” (lākin), the word of exception.
With a : “whenever this thing is a man, it is an animal; but it is a man, so it is an animal”. Or: “… but it is not an animal, so it is not a man”.
With a real the book gives four ways: “this number is either even or odd; but it is even, so it is not odd”; “but it is odd, so it is not even”; “but it is not even, so it is odd”; “but it is not odd, so it is even”. Affirming one part yields the denial of the other, and denying one part yields the other. That is why the real disjunctive allows the most exceptions.
Terms
- القِياسُ الاسْتِثْنائِيُّ al-qiyās al-istithnāʾī
- exceptive syllogism: made of a conditional and a “but”
- لٰكِنْ lākin
- “but”, the word of exception
- الاسْتِثْناءُ al-istithnāʾ
- exception: the premise that affirms or denies one part
- النَّقِيضُ al-naqīḍ
- the contradictory
Examples
كُلَّما كانَ هٰذا الشَّيْءُ إِنْسانًا كانَ حَيَوانًا، لٰكِنَّهُ إِنْسانٌ، فَيَكُونُ حَيَوانًا
with a conjunctive
هٰذا العَدَدُ إِمّا زَوْجٌ وَإِمّا فَرْدٌ، لٰكِنَّهُ زَوْجٌ، فَلَيْسَ بِفَرْدٍ
with a real disjunctive
Проверьте себя
3 questions on this lesson. With 6 out of 10 or more (two stars) the next lesson opens.
Вопрос 1
“This number is either even or odd; but it is not even…” What follows?
In a real disjunctive, denying one part yields the other: not even, so odd.
Вопрос 2
What makes a syllogism exceptive (istithnāʾī) rather than conjunctive?
The exceptive syllogism uses a conjunctive or disjunctive proposition and a second premise of exception (“but …”).
Вопрос 3
“Whenever this thing is a man, it is an animal; but it is not an animal…” What follows?
Denying what follows denies what it follows from: not an animal, so not a man.
This was the last lesson of al-Ṣughrā.
Next: al-Kubrā