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The disjunctive and its three kinds

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The disjunctive and its three kinds

Proof · al-munfaṣila wa-aqsāmuhā · hlm. 15–16

المُنْفَصِلَةُ وَأَقْسامُها

Draf · menunggu pemeriksaan

Teks bahasa Persia menurut cetakan Kanpur 1279/1862–63 · terjemahan The Mantiqi, draf

Tentang teks ini

al-Ṣughrā الصُّغْرَى

al-Sayyid al-Sharīf al-Jurjānī (d. 816/1413)

Teks
Persia, disalin oleh The Mantiqi dari cetakan litografi, tanpa hasyiyah di pinggirnya: Majmūʿa-yi manṭiq, Maṭbaʿ-i Alṭāfī, Kanpur 1279/1862–63, pp. 1–8 of the Ṣughrā, after the Kubrā Lihat pindaian
Pelajaran mengikuti
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, hlm. 5–18. Pelajaran ini adalah penjelasan The Mantiqi sendiri dalam urutan edisi ini; teksnya dilindungi hak cipta dan tidak dimuat.
Terjemahan
Karya The Mantiqi sendiri, ke dalam bahasa Inggris dan bahasa Arab berharakat; draf. Bahasa Arabnya diterjemahkan dari bahasa Persia, bukan diambil dari versi Arab cetak.
Tinjauan
Draf, menunggu tinjauan Ustadh Muhammad Yusuf.

Teks

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Teks asli bahasa Persia, Majmūʿa-yi manṭiq, Kanpur 1279/1862–63

سوم شرطیهٔ منفصله و آن مرکب باشد از دو قضیه که میان ایشان حکم کرده باشند بانفصال یا بسلب انفصال، و منفصله بر سه قسم است: اول حقیقیه که در وی حکم کرده باشند بانفصال در صدق و کذب هر دو چون هذا العدد اما زوج و اما فرد و این را موجبهٔ حقیقیه گویند، یا حکم کرده باشند بسلب این انفصال چون لیس البتة هذا العدد اما زوجاً و اما منقسماً بمتساویین و این را سالبهٔ حقیقیه خوانند. دوم مانعة الجمع که در وی حکم کرده باشند بانفصال در صدق فقط یا بسلب این انفصال چون هذا الشیء اما شجر و اما حجر و لیس البتة هذا الشیء اما لا شجر و اما لا حجر. سوم مانعة الخلو که در وی حکم کرده باشند بانفصال در کذب فقط یا بسلب این انفصال چون هذا الشیء اما لا حجر و اما لا شجر و لیس البتة هذا الشیء اما حجر و اما شجر.

The third is the disjunctive conditional (sharṭiyya munfaṣila), made of two propositions between which a separation is judged, or the separation denied. The disjunctive is of three kinds. First, the real (ḥaqīqiyya), in which separation is judged in truth and in falsehood both, like “this number is either even or odd”, which is called the affirmative real disjunctive; or that separation is denied, like “never: this number is either even or divisible into two equal halves”, which is called the negative real disjunctive. Second, the one that excludes being together (māniʿat al-jamʿ), in which separation is judged in truth only, or denied, like “this thing is either a tree or a stone”, and “never: this thing is either not a tree or not a stone”. Third, the one that excludes being absent (māniʿat al-khuluww), in which separation is judged in falsehood only, or denied, like “this thing is either not a stone or not a tree”, and “never: this thing is either a stone or a tree”.

Terjemahan Arab

وَالثَّالِثُ الشَّرْطِيَّةُ الْمُنْفَصِلَةُ، وَهِيَ الْمُرَكَّبَةُ مِنْ قَضِيَّتَيْنِ حُكِمَ بَيْنَهُمَا بِالِانْفِصَالِ أَوْ بِسَلْبِهِ، وَهِيَ ثَلَاثَةُ أَقْسَامٍ: الْأَوَّلُ الْحَقِيقِيَّةُ الَّتِي حُكِمَ فِيهَا بِالِانْفِصَالِ فِي الصِّدْقِ وَالْكَذِبِ مَعًا، كَقَوْلِنَا: هٰذَا الْعَدَدُ إِمَّا زَوْجٌ أَوْ فَرْدٌ، وَتُسَمَّى مُوجَبَةً حَقِيقِيَّةً، أَوْ حُكِمَ فِيهَا بِسَلْبِ هٰذَا الِانْفِصَالِ، كَقَوْلِنَا: لَيْسَ الْبَتَّةَ هٰذَا الْعَدَدُ إِمَّا زَوْجًا أَوْ مُنْقَسِمًا بِمُتَسَاوِيَيْنِ، وَتُسَمَّى سَالِبَةً حَقِيقِيَّةً. وَالثَّانِي مَانِعَةُ الْجَمْعِ الَّتِي حُكِمَ فِيهَا بِالِانْفِصَالِ فِي الصِّدْقِ فَقَطْ أَوْ بِسَلْبِهِ، كَقَوْلِنَا: هٰذَا الشَّيْءُ إِمَّا شَجَرٌ أَوْ حَجَرٌ، وَلَيْسَ الْبَتَّةَ هٰذَا الشَّيْءُ إِمَّا لَا شَجَرٌ أَوْ لَا حَجَرٌ. وَالثَّالِثُ مَانِعَةُ الْخُلُوِّ الَّتِي حُكِمَ فِيهَا بِالِانْفِصَالِ فِي الْكَذِبِ فَقَطْ أَوْ بِسَلْبِهِ، كَقَوْلِنَا: هٰذَا الشَّيْءُ إِمَّا لَا حَجَرٌ أَوْ لَا شَجَرٌ، وَلَيْسَ الْبَتَّةَ هٰذَا الشَّيْءُ إِمَّا حَجَرٌ أَوْ شَجَرٌ.

Google Terjemahan ↗hlm. 6–7

Pelajaran

The (sharṭiyya munfaṣila) is made of two whose judgement is one of separation, or of the denial of separation. It has three kinds.

In the real (munfaṣila ḥaqīqiyya) the two parts are separate both in truth and in falsehood: they cannot both be true and cannot both be false. “This number is either even or odd.” Its is “it is not the case that this number is either even or divisible into two equals”, since those two go together.

In the that excludes joining (māniʿat al-jamʿ) the two cannot both be true, but both may be false: “this thing is either a tree or a stone”. A thing cannot be both, but it can be neither, a man for instance.

In the that excludes emptiness (māniʿat al-khulūw) the two cannot both be false, but both may be true: “this man is either a man or a writer”. One of the two must hold, and both can.

Istilah

الشَّرْطِيَّةُ المُنْفَصِلَةُ al-sharṭiyya al-munfaṣila
disjunctive conditional: two propositions joined by separation
الحَقِيقِيَّةُ al-ḥaqīqiyya
real: not both true, not both false
مانِعَةُ الجَمْعِ māniʿat al-jamʿ
excluding joining: not both true
مانِعَةُ الخُلُوِّ māniʿat al-khulūw
excluding emptiness: not both false

Contoh

  • هٰذا العَدَدُ إِمّا زَوْجٌ وَإِمّا فَرْدٌ

    “This number is either even or odd”: real

  • هٰذا الشَّيْءُ إِمّا شَجَرٌ وَإِمّا حَجَرٌ

    “This thing is either a tree or a stone”: excluding joining

  • هٰذا الرَّجُلُ إِمّا إِنْسانٌ وَإِمّا كاتِبٌ

    “This man is either a man or a writer”: excluding emptiness

Uji dirimu

3 soal tentang pelajaran ini. Dengan nilai 6 dari 10 atau lebih (dua bintang), pelajaran berikutnya terbuka.

  1. Soal 1

    “This thing is either a tree or a stone.” Which kind of disjunctive is it?

  2. Soal 2

    In a real disjunctive the two parts…

  3. Soal 3

    “This man is either a man or a writer” excludes emptiness. What does that mean?

Pelajaran berikutnya: The conjunctive syllogism and the four figures

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