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Conditional and repetitive syllogisms, induction and analogy

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Indiaas pad · level 3 · Tahdhīb al-manṭiq · Les 15 van 16

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Conditional and repetitive syllogisms, induction and analogy

Syllogismen

القِيَاس

Tekst in het Arabisch naar de druk van Cairo 1330/1912 · vertaling door The Mantiqi, concept

Over deze tekst

Tahdhīb al-manṭiq تَهْذِيبُ المَنْطِقِ

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

Tekst
Arabisch: 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 Bekijk de scan
Vertaling
Van The Mantiqi zelf; een concept.
Controle
Concept, wacht op controle door Ustadh Muhammad Yusuf.

De tekst Saʿd al-Dīn al-Taftāzānī

Vertaling voorlopig in het Engels.

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 jezelf

3 vragen over wat het commentaar uitlegt. Met 6 van de 10 of meer (twee sterren) gaat de volgende les open.

  1. Vraag 1

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

  2. Vraag 2

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

  3. Vraag 3

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

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