سرورق / Ḥāshiyat al-Bājūrī ʿalā al-Sullam / 18 میں سے سبق 16
مقفل
Compound syllogism, induction and analogy
Ḥāshiyat al-Bājūrī ʿalā al-Sullam کی طرف واپسمغاربی راستہ · مرحلہ 2 · Ḥāshiyat al-Bājūrī ʿalā al-Sullam · 18 میں سے سبق 16
Compound syllogism, induction and analogy
The syllogism · lawāḥiq al-qiyās · ص 104–107
لَواحِقُ القِياسِ
مسودہ · نظرِ ثانی کا منتظر
Cairo 1324/1906 کے مطبوعہ نسخے سے اقتباسات کے ساتھ ہمارے اپنے اسباق · ترجمہ The Mantiqi، مسودہ
اس متن کے بارے میں
Ḥāshiyat al-Bājūrī ʿalā al-Sullam حاشِيَةُ الباجُورِيِّ عَلَى السُّلَّمِ
Ibrāhīm al-Bājūrī (d. 1276/1860)
- متن
- عربی: اسباق میں منقول حصے، جو The Mantiqi نے اس مطبوعہ نسخے سے نقل کیے (پورا متن نقل نہیں کیا گیا): 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) اسکین دیکھیں
- اسباق کی بنیاد
- اسباق سلم پر The Mantiqi کی اپنی وضاحت ہیں، شعر بہ شعر، Ibrāhīm al-Bājūrī کی پیروی میں؛ ان کے الفاظ وہاں نقل کیے گئے ہیں جہاں وہ سب سے اہم ہیں۔
- ترجمہ
- The Mantiqi کا اپنا؛ مسودہ۔
- نظرِ ثانی
- مسودہ، Ustadh Muhammad Yusuf کی نظرِ ثانی کا منتظر۔
Ibrāhīm al-Bājūrī کے الفاظ میں
کوئی اور زبان چاہیے؟ «Google Translate» کسی حصے کو گوگل کے مشینی ترجمے میں کھولتا ہے — ابتدائی اندازے کے لیے مفید، مگر ہم نے اسے جانچا نہیں۔ یا متن اپنی پسند کے مترجم میں نقل کر لیں۔
Ḥāshiyat al-Bājūrī ʿalā matn al-Sullam, with al-Anbābī's taqrīr in the margin, Cairo 1324/1906 کے عربی متن سے منقول
(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 ↗ص 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 ↗ص 107
سبق
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.
اصطلاحات
- 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
مثالیں
لَوْ لَمْ يَكُنْ قَدِيمًا لَكانَ حادِثًا
“if He were not eternal, He would be originated”: the start of a reductio
اپنا امتحان لیں
اس سبق پر 3 سوالات۔ 10 میں سے 6 یا زیادہ (دو ستارے) پر اگلا سبق کھل جاتا ہے۔
سوال 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”.
سوال 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.
سوال 3
Why does analogy not give certainty?
“Two things being alike in one respect does not mean that they are alike in another.”
اگلا سبق: The kinds of argument and their premises
جاری رکھیں ←