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Conditional and repetitive syllogisms, induction and analogy

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Indian path · level 3 · Tahdhīb al-manṭiq · Lesson 15 of 16

Conditional and repetitive syllogisms, induction and analogy

Syllogism

القِيَاس

Arabic text after the print of Cairo 1330/1912 · translation by The Mantiqi, draft

About this text

Tahdhīb al-manṭiq تَهْذِيبُ المَنْطِقِ

Saʿd al-Dīn al-Taftāzānī (d. 792/1390)

Text
Arabic: Matn Tahdhīb al-manṭiq wa-l-kalām (the logic part; the notes on the kalām part not reproduced), with notes collected by ʿAbd al-Qādir Maʿrūf al-Kurdī al-Sanandajī; vowel marks added by The Mantiqi (draft); two misprints corrected to the usual reading (p. 6 yalzamu taṣawwuruhu min taṣawwuri l-malzūm for the print's yalzamu min taṣawwurihi taṣawwuru l-malzūm; p. 13 al-fiṭriyyāt for al-naẓariyyāt), Maṭbaʿat al-Saʿāda, Cairo 1330/1912 View the scan
Translation
The Mantiqi's own; a draft.
Review
Draft, awaiting review by Ustadh Muhammad Yusuf.

The text Saʿd al-Dīn al-Taftāzānī

فَصْلٌ

الشَّرْطِيُّ مِنَ الاقْتِرانِيِّ إِمّا أَنْ يَتَرَكَّبَ مِنَ المُتَّصِلَتَيْنِ، أَوِ المُنْفَصِلَتَيْنِ، أَوْ مِنْ حَمْلِيَّةٍ وَمُتَّصِلَةٍ، أَوْ حَمْلِيَّةٍ وَمُنْفَصِلَةٍ، أَوْ مُتَّصِلَةٍ وَمُنْفَصِلَةٍ، وَتَنْعَقِدُ فِيهِ الأَشْكالُ الأَرْبَعَةُ، وَفِي تَفْصِيلِها طُولٌ.

The among the syllogisms is composed of two , or two , or of a and a connective, or a categorical and a disjunctive, or a connective and a disjunctive. The four arise in it, and setting them out in detail would be long.

Tahdhīb al-manṭiq · p. 13

فَصْلٌ

الاسْتِثْنائِيُّ يُنْتِجُ مِنَ المُتَّصِلَةِ وَضْعُ المُقَدَّمِ وَرَفْعُ التّالِي، وَمِنَ الحَقِيقِيَّةِ وَضْعُ كُلٍّ كَمانِعَةِ الجَمْعِ، وَرَفْعُهُ كَمانِعَةِ الخُلُوِّ. وَقَدْ يُخَصُّ بِاسْمِ قِياسِ الخُلْفِ ما يُقْصَدُ بِهِ إِثْباتُ المَطْلُوبِ بِإِبْطالِ نَقِيضِهِ، وَمَرْجِعُهُ إِلَى اسْتِثْنائِيٍّ وَاقْتِرانِيٍّ.

The repetitive yields, from the , the affirming of the and the denying of the ; from the real , affirming either, as in the one that bars joining, and denying it, as in the one that bars lacking both. The name “reductio syllogism” (qiyās al-khulf) is sometimes reserved for one meant to prove what is sought by refuting its ; it comes down to a repetitive and a .

Tahdhīb al-manṭiq · p. 13

فَصْلٌ

الاسْتِقْراءُ تَصَفُّحُ الجُزْئِيّاتِ لِإِثْباتِ حُكْمٍ كُلِّيٍّ، وَالتَّمْثِيلُ بَيانُ مُشارَكَةِ جُزْئِيٍّ لِآخَرَ فِي عِلَّةِ الحُكْمِ لِيَثْبُتَ فِيهِ، وَالعُمْدَةُ فِي طَرِيقِهِ الدَّوَرانُ وَالتَّرْدِيدُ.

(istiqrāʾ) is going through the to establish a judgement. (tamthīl) is showing that one particular shares with another the cause of the judgement, so that the judgement holds of it; the mainstay of its method is concomitance (dawarān) and sifting (tardīd).

Tahdhīb al-manṭiq · p. 13

Test yourself

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

  1. Question 1

    From the connective “If this is a human, it is an animal”, what does the repetitive syllogism yield?

  2. Question 2

    What is the reductio syllogism (qiyās al-khulf)?

  3. Question 3

    What is analogy (tamthīl), and what is the mainstay of its method?

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