The proposition: categorical and conditional

Proof · al-qaḍiyya al-ḥamliyya wa-l-muttaṣila · p. 14

القَضِيَّةُ الحَمْلِيَّةُ وَالمُتَّصِلَةُ

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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

فصل در مباحث حجت و دلیل. بدانکه تصدیق را قضیه خوانند، و قضیه بر سه قسم است: یکی حملیه و آن مرکب باشد از دو مفرد مثل الانسان کاتب و آن را موجبه خوانند، و الانسان لیس بکاتب و آن را سالبه خوانند، و محکوم علیه را در حملیه موضوع خوانند و محکوم به را محمول. دوم شرطیهٔ متصله و آن مرکب باشد از دو قضیه که میان ایشان حکم کرده باشند باتصال چون کلما کانت الشمس طالعة کان النهار موجوداً و این را موجبه خوانند، و یا حکم کرده باشند بسلب اتصال چون لیس البتة اذا کانت الشمس طالعة کان اللیل موجوداً و این را سالبه خوانند.

Section on proof. Know that an assent is called a proposition (qaḍiyya), and a proposition is of three kinds. The first is the categorical (ḥamliyya), made of two single terms, like “man is a writer”, which is called affirmative, and “man is not a writer”, which is called negative; in a categorical, what is judged is called the subject (mawḍūʿ) and what is judged of it the predicate (maḥmūl). The second is the connective conditional (sharṭiyya muttaṣila), made of two propositions between which a connection is judged, like “whenever the sun is up, it is day”, which is called affirmative; or the connection is denied, like “never: if the sun is up, it is night”, which is called negative.

Arabic translation

فَصْلٌ فِي مَبَاحِثِ الْحُجَّةِ وَالدَّلِيلِ. اِعْلَمْ أَنَّ التَّصْدِيقَ يُسَمَّى قَضِيَّةً، وَالْقَضِيَّةُ ثَلَاثَةُ أَقْسَامٍ: الْأَوَّلُ الْحَمْلِيَّةُ، وَهِيَ الْمُرَكَّبَةُ مِنْ مُفْرَدَيْنِ، مِثْلُ: الْإِنْسَانُ كَاتِبٌ، وَتُسَمَّى مُوجَبَةً، وَالْإِنْسَانُ لَيْسَ بِكَاتِبٍ، وَتُسَمَّى سَالِبَةً، وَيُسَمَّى الْمَحْكُومُ عَلَيْهِ فِي الْحَمْلِيَّةِ مَوْضُوعًا، وَالْمَحْكُومُ بِهِ مَحْمُولًا. وَالثَّانِي الشَّرْطِيَّةُ الْمُتَّصِلَةُ، وَهِيَ الْمُرَكَّبَةُ مِنْ قَضِيَّتَيْنِ حُكِمَ بَيْنَهُمَا بِالِاتِّصَالِ، كَقَوْلِنَا: كُلَّمَا كَانَتِ الشَّمْسُ طَالِعَةً كَانَ النَّهَارُ مَوْجُودًا، وَتُسَمَّى مُوجَبَةً، أَوْ حُكِمَ بِسَلْبِ الِاتِّصَالِ، كَقَوْلِنَا: لَيْسَ الْبَتَّةَ إِذَا كَانَتِ الشَّمْسُ طَالِعَةً كَانَ اللَّيْلُ مَوْجُودًا، وَتُسَمَّى سَالِبَةً.

Google Translate ↗pp. 5–6

The lesson

Proof deals with , and what an assent is about is called a (qaḍiyya). The Ṣughrā names three kinds: , and .

The (ḥamliyya) is made of two single terms: “man is a writer”, which is (mūjaba), or “man is not a stone”, which is (sāliba). What the judgement is made about is the (mawḍūʿ), here “man”; what is judged of it is the (maḥmūl), here “writer” or “not a stone”.

The (sharṭiyya muttaṣila) is made of two whose judgement is one of connection: “whenever the sun is up, it is day”. That is . If the connection is denied, as in “it is not the case that if the sun is up it is night”, it is .

Terms

القَضِيَّةُ al-qaḍiyya: proposition: what an assent is about
الحَمْلِيَّةُ al-ḥamliyya: categorical: made of two single terms
المَوْضُوعُ al-mawḍūʿ: subject: what the judgement is about
المَحْمُولُ al-maḥmūl: predicate: what is judged of it
المُوجَبَةُ al-mūjaba: affirmative
السّالِبَةُ al-sāliba: negative
الشَّرْطِيَّةُ المُتَّصِلَةُ al-sharṭiyya al-muttaṣila: conjunctive conditional: two propositions joined by connection

Examples

الإِنْسانُ كاتِبٌ
an affirmative categorical
الإِنْسانُ لَيْسَ بِحَجَرٍ
a negative categorical
كُلَّما كانَتِ الشَّمْسُ طالِعَةً كانَ النَّهارُ مَوْجُودًا
“Whenever the sun is up, it is day”: an affirmative conjunctive

Uji dirimu

3 questions on this lesson. With 6 out of 10 or more (two stars) the next lesson opens.

Soal 1
In “man is not a stone”, what is the subject?
Soal 2
“Whenever the sun is up, it is day” is…
Soal 3
What is a categorical proposition made of?

Pelajaran berikutnya: The disjunctive and its three kinds

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