Home / Ḥāshiyat al-Bājūrī ʿalā al-Sullam / Les 16 van 18
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Een blik op les 16 van level 2. Level 2 gaat open na level 1; tot die tijd kun je deze les lezen, maar de toets en de weg verder blijven dicht.
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Compound syllogism, induction and analogy
Terug naar Ḥāshiyat al-Bājūrī ʿalā al-SullamNoord-Afrikaans pad · level 2 · Ḥāshiyat al-Bājūrī ʿalā al-Sullam · Les 16 van 18
Compound syllogism, induction and analogy
The syllogism · lawāḥiq al-qiyās · pp. 104–107
لَواحِقُ القِياسِ
Concept · nog niet nagekeken
Eigen lessen met citaten uit de druk van Cairo 1324/1906 · vertaling door The Mantiqi, concept
Over deze tekst
Ḥāshiyat al-Bājūrī ʿalā al-Sullam حاشِيَةُ الباجُورِيِّ عَلَى السُّلَّمِ
Ibrāhīm al-Bājūrī (d. 1276/1860)
- Tekst
- Arabisch: passages die in de lessen geciteerd worden, door The Mantiqi overgeschreven uit deze druk (de hele tekst wordt niet overgenomen): Ḥāshiyat al-Bājūrī ʿalā matn al-Sullam, with al-Anbābī's taqrīr in the margin, al-Maṭbaʿa al-Azhariyya al-Miṣriyya (2nd printing), Cairo 1324/1906, pp. 26–112 (passages) Bekijk de scan
- De lessen volgen
- De lessen zijn de eigen uitleg van The Mantiqi bij de Sullam, vers voor vers, in het spoor van Ibrāhīm al-Bājūrī; zijn woorden worden geciteerd waar ze het meest ertoe doen.
- Vertaling
- Van The Mantiqi zelf; een concept.
- Controle
- Concept, wacht op controle door Ustadh Muhammad Yusuf.
In de woorden van Ibrāhīm al-Bājūrī
Een andere taal nodig? “Google Translate” opent een passage in de machinevertaling van Google — handig voor een eerste indruk, maar niet door ons gecontroleerd. Of kopieer de tekst naar een vertaler naar keuze.
Geciteerd uit het Arabisch van Ḥāshiyat al-Bājūrī ʿalā matn al-Sullam, with al-Anbābī's taqrīr in the margin, Cairo 1324/1906
(فَصْلٌ فِي لَواحِقِ القِياسِ) الإِضافَةُ جِنْسِيَّةٌ لا اسْتِغْراقِيَّةٌ، لِأَنَّ المُصَنِّفَ لَمْ يَتَكَلَّمْ إِلّا عَلَى ثَلاثَةٍ مِنْها، وَهِيَ القِياسُ المُرَكَّبُ وَقِياسُ الاسْتِقْراءِ وَقِياسُ التَّمْثِيلِ، وَأَهْمَلَ رابِعًا وَهُوَ قِياسُ الخُلْفِ، وَضابِطُهُ أَنْ يُسْتَدَلَّ عَلَى ثُبُوتِ المَطْلُوبِ بِإِبْطالِ نَقِيضِهِ.
(Chapter on what follows the syllogism): the possessive here names the kind, not all of its members, for the author speaks of only three of them — the compound syllogism, induction and analogy — and leaves out a fourth, the reductio (qiyās al-khulf), whose rule is to prove what is sought by refuting its contradictory.
Google Translate ↗p. 104
… لِأَنَّهُ يُفِيدُ القَطْعَ بِالَّذِي اسْتُدِلَّ عَلَيْهِ بِهِ، كَما إِذا تَصَفَّحْتَ جَمِيعَ جُزْئِيّاتِ الحَيَوانِ فَوَجَدْتَ المَوْتَ لازِمًا لَها، فَاسْتَدْلَلْتَ بِذٰلِكَ عَلَى أَنَّ كُلَّ حَيَوانٍ مَيِّتٌ، وَأَمّا الثّانِي فَلِأَنَّهُ لا يَلْزَمُ مِنْ تَشابُهِ الأَمْرَيْنِ فِي شَيْءٍ أَنَّهُما كَذٰلِكَ فِي شَيْءٍ آخَرَ.
… for [complete induction] gives certainty of what it is used to prove: as when you go through all the particular kinds of animal, find death bound to them, and conclude that every animal dies. As for the second [analogy], it is because two things being alike in one respect does not mean that they are alike in another.
Google Translate ↗p. 107
De les
The Sullam ends its account of the with “what follows it”: the compound syllogism, whose becomes a of the next; (istiqrāʾ); and (tamthīl). Al-Bājūrī remarks that the poem names only three of these and leaves out a fourth, the reductio (qiyās al-khulf): proving what is sought by refuting its .
His example of a reductio is from kalām: to prove that God is eternal, one argues that if He were not eternal He would be originated; that if He were originated an absurdity would follow; and that what leads to an absurdity is false. So His being originated is false, and what is sought is proved.
On he distinguishes the complete and the incomplete. Complete induction gives certainty: one goes through all the kinds of animal, finds death bound to each, and concludes that every animal dies. Incomplete induction gives only probability, as does , because two things being alike in one respect does not make them alike in another.
Begrippen
- الاسْتِقْراءُ al-istiqrāʾ
- induction: going through the particulars
- التَّمْثِيلُ al-tamthīl
- analogy: from one particular to another
- قِياسُ الخُلْفِ qiyās al-khulf
- reductio: proving by refuting the contradictory
Voorbeelden
لَوْ لَمْ يَكُنْ قَدِيمًا لَكانَ حادِثًا
“if He were not eternal, He would be originated”: the start of a reductio
Test jezelf
3 vragen over deze les. Met 6 of meer van de 10 (twee sterren) gaat de volgende les open.
Vraag 1
Which of “what follows the syllogism” does al-Bājūrī say the poem leaves out?
The poem speaks of three, “and leaves out a fourth, the reductio, whose rule is to prove what is sought by refuting its contradictory”.
Vraag 2
Which kind of induction gives certainty?
Complete induction “gives certainty of what it is used to prove”, as when all kinds of animal are found to die.
Vraag 3
Why does analogy not give certainty?
“Two things being alike in one respect does not mean that they are alike in another.”
Volgende les: The kinds of argument and their premises
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