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Compound syllogism, induction and analogy

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Compound syllogism, induction and analogy

The syllogism · lawāḥiq al-qiyās · hlm. 104–107

لَواحِقُ القِياسِ

Draf · menunggu pemeriksaan

Pelajaran kami sendiri dengan kutipan dari cetakan Cairo 1324/1906 · terjemahan The Mantiqi, draf

Tentang teks ini

Ḥāshiyat al-Bājūrī ʿalā al-Sullam حاشِيَةُ الباجُورِيِّ عَلَى السُّلَّمِ

Ibrāhīm al-Bājūrī (d. 1276/1860)

Teks
Arab: bagian-bagian yang dikutip dalam pelajaran, disalin oleh The Mantiqi dari cetakan ini (seluruh teks tidak dimuat): 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) Lihat pindaian
Pelajaran mengikuti
Pelajaran ini adalah penjelasan The Mantiqi sendiri atas Sullam, bait demi bait, mengikuti Ibrāhīm al-Bājūrī; kata-katanya dikutip di tempat yang paling penting.
Terjemahan
Karya The Mantiqi sendiri; draf.
Tinjauan
Draf, menunggu tinjauan Ustadh Muhammad Yusuf.

Dalam kata-kata Ibrāhīm al-Bājūrī

Perlu bahasa lain? “Google Terjemahan” membuka sebuah bagian di terjemahan mesin Google — berguna untuk gambaran awal, tetapi tidak kami periksa. Atau salin teksnya ke penerjemah pilihanmu.

Dikutip dari teks bahasa Arab 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 Terjemahan ↗hlm. 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 Terjemahan ↗hlm. 107

Pelajaran

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.

Istilah

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

Contoh

  • لَوْ لَمْ يَكُنْ قَدِيمًا لَكانَ حادِثًا

    “if He were not eternal, He would be originated”: the start of a reductio

Uji dirimu

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

  1. Soal 1

    Which of “what follows the syllogism” does al-Bājūrī say the poem leaves out?

  2. Soal 2

    Which kind of induction gives certainty?

  3. Soal 3

    Why does analogy not give certainty?

Pelajaran berikutnya: The kinds of argument and their premises

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