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Simple conversion and contraposition

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A look at lesson 12 of level 3. Level 3 opens after level 2; until then you can read this lesson, but its test and the way on stay closed.

Indian path · level 3 · Tahdhīb al-manṭiq · Les 12 van 16

Simple conversion and contraposition

Proposities

القَضَايَا

Arabic text after the print of Cairo 1330/1912 · translation by The Mantiqi, draft

About this text

Tahdhīb al-manṭiq تَهْذِيبُ المَنْطِقِ

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

Text
Arabic: 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 View the scan
Translation
The Mantiqi's own; a draft.
Review
Draft, awaiting review by Ustadh Muhammad Yusuf.

De tekst Saʿd al-Dīn al-Taftāzānī

Vertaling voorlopig in het Engels.

فَصْلٌ

العَكْسُ المُسْتَوِي تَبْدِيلُ طَرَفَيِ القَضِيَّةِ مَعَ بَقاءِ الصِّدْقِ وَالكَيْفِ. وَالمُوجِبَةُ إِنَّما تَنْعَكِسُ جُزْئِيَّةً لِجَوازِ عُمُومِ المَحْمُولِ أَوِ التّالِي، وَالسّالِبَةُ الكُلِّيَّةُ تَنْعَكِسُ كُلِّيَّةً، وَإِلّا لَزِمَ سَلْبُ الشَّيْءِ عَنْ نَفْسِهِ، وَالجُزْئِيَّةُ لا تَنْعَكِسُ أَصْلًا لِجَوازِ عُمُومِ المَوْضُوعِ أَوِ المُقَدَّمِ.

(al-ʿaks al-mustawī) is exchanging the two sides of a while truth and quality remain. The converts only as a , because the or the may be more general. The converts as a , or else a thing would be denied of itself. The does not convert at all, because the or the may be more general.

Tahdhīb al-manṭiq · p. 10

وَأَمّا بِحَسَبِ الجِهَةِ، فَمِنَ المُوجِباتِ تَنْعَكِسُ الدّائِمَتانِ وَالعامَّتانِ حِينِيَّةً مُطْلَقَةً، وَالخاصَّتانِ حِينِيَّةً لا دائِمَةً، وَالوَقْتِيَّتانِ وَالوُجُودِيَّتانِ وَالمُطْلَقَةُ العامَّةُ مُطْلَقَةً عامَّةً، وَلا عَكْسَ لِلمُمْكِنَتَيْنِ. وَمِنَ السَّوالِبِ تَنْعَكِسُ الدّائِمَتانِ دائِمَةً، وَالعامَّتانِ عُرْفِيَّةً عامَّةً، وَالخاصَّتانِ عُرْفِيَّةً لا دائِمَةً فِي البَعْضِ، وَالبَيانُ فِي الكُلِّ أَنَّ نَقِيضَ العَكْسِ مَعَ الأَصْلِ يُنْتِجُ المُحالَ، وَلا عَكْسَ لِلبَواقِي بِالنَّقْضِ.

As for the modes: among the affirmatives, the two perpetuals and the two generals as an absolute while-described; the two specials as a non-perpetual while-described; the two temporals, the two existentials and the general absolute as a general absolute; and the two possibles do not convert. Among the negatives, the two perpetuals convert as a perpetual; the two generals as a general conventional; the two specials as a conventional non-perpetual in part. The proof throughout is that the of the converse, together with the original, yields an absurdity; and the rest do not convert, as counter-examples show.

Tahdhīb al-manṭiq · p. 10

فَصْلٌ

عَكْسُ النَّقِيضِ تَبْدِيلُ نَقِيضَيِ الطَّرَفَيْنِ مَعَ بَقاءِ الصِّدْقِ وَالكَيْفِ، أَوْ جَعْلُ نَقِيضِ الثّانِي أَوَّلًا مَعَ مُخالَفَةِ الكَيْفِ. وَحُكْمُ المُوجِباتِ هٰهُنا حُكْمُ السَّوالِبِ فِي العَكْسِ المُسْتَوِي، وَبِالعَكْسِ، وَالبَيانُ البَيانُ، وَالنَّقْضُ النَّقْضُ، وَبُيِّنَ انْعِكاسُ الخاصَّتَيْنِ مِنَ المُوجِبَةِ الجُزْئِيَّةِ هٰهُنا، وَالسّالِبَةِ الجُزْئِيَّةِ ثَمَّةَ، إِلَى العُرْفِيَّةِ الخاصَّةِ.

(ʿaks al-naqīḍ) is exchanging the contradictories of the two sides while truth and quality remain; or putting the of the second first, with a change of quality. The rule for the affirmatives here is the rule for the negatives in , and the other way round; the proof is the same proof and the counter-example the same counter-example. It has been shown that the two specials, from the here and from the there, convert as a special conventional.

Tahdhīb al-manṭiq · p. 11

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

    Why does the universal affirmative “Every human is an animal” convert only as a particular?

  2. Vraag 2

    Why does the particular negative not convert at all?

  3. Vraag 3

    In contraposition, how do the affirmatives behave?

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