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The exceptive syllogism

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Noord-Afrikaans pad · level 1 · al-Sullam al-munawraq · Les 15 van 18

The exceptive syllogism

The syllogism · al-qiyās al-istithnāʾī · pp. 28–29

الْقِيَاسُ الِاسْتِثْنَائِيُّ

Concept · nog niet nagekeken

Tekst in het Arabisch naar de druk van Jakarta 1434/2013 · vertaling door The Mantiqi, concept

Over deze tekst

al-Sullam al-munawraq السُّلَّمُ الْمُنَوْرَقُ

ʿAbd al-Raḥmān al-Akhḍarī (d. 983/1575)

Tekst: Arabisch, door The Mantiqi overgeschreven uit deze druk: Mutūn al-manṭiq wa-l-ḥikma: Īsāghūjī wa-l-Sullam al-munawraq, Dār al-Kutub al-Islāmiyya, Jakarta 1434/2013, pp. 20–32 Bekijk de scan
De lessen volgen: De lessen zijn de eigen uitleg van The Mantiqi, hoofdstuk voor hoofdstuk van de tekst zelf.
Vertaling: Van The Mantiqi zelf; een concept.
Controle: Concept, wacht op controle door Ustadh Muhammad Yusuf.

De tekst

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Lees de hele tekst in het Arabisch →

Origineel in het Arabisch, Mutūn al-manṭiq wa-l-ḥikma: Īsāghūjī wa-l-Sullam al-munawraq, Jakarta 1434/2013

وَمِنْهُ مَا يُدْعَى بِالِاسْتِثْنَائِييُعْرَفُ بِالشَّرْطِيِّ بِلَا امْتِرَاءِ

وَهْوَ الَّذِي دَلَّ عَلَى النَّتِيجَةِأَوْ ضِدِّهَا بِالْفِعْلِ لَا بِالْقُوَّةِ

Another kind is called the exceptive, known as the conditional syllogism without doubt: it is the one that shows the conclusion or its contrary in actuality, not potentially.

Google Translate ↗p. 28

فَإِنْ يَكُ الشَّرْطِيُّ ذَا اتِّصَالِأَنْتَجَ وَضْعُ ذَاكَ وَضْعَ التَّالِي

وَرَفْعُ تَالٍ رَفْعَ أَوَّلٍ وَلَايَلْزَمُ فِي عَكْسِهِمَا لِمَا انْجَلَى

If the conditional is connective, affirming the antecedent produces the affirmation of the consequent, and denying the consequent the denial of the antecedent; it does not follow in the reverse of these, as has become clear.

Google Translate ↗p. 29

وَإِنْ يَكُنْ مُنْفَصِلًا فَوَضْعُ ذَايُنْتِجُ رَفْعَ ذَاكَ وَالْعَكْسُ كَذَا

وَذَاكَ فِي الْأَخَصِّ ثُمَّ إِنْ يَكُنْمَانِعَ جَمْعٍ فَبِوَضْعِ ذَا زُكِنْ

رَفْعٌ لِذَاكَ دُونَ عَكْسٍ وَإِذَامَانِعَ رَفْعٍ كَانَ فَهْوَ عَكْسُ ذَا

If it is disjunctive, affirming this produces denying that, and the reverse likewise — that is in the narrowest, the real one. Then, if it excludes being together, by affirming this the denial of that is known, without the reverse; and when it excludes absence, it is the reverse of this.

Google Translate ↗p. 29

De les

The or shows the or its contrary in actuality, in so many words. With a : affirming the gives the , “if it is a man it is an animal; but it is a man, so it is an animal”; denying the consequent denies the antecedent, “but it is not an animal, so it is not a man”. The reverse does not follow: affirming the consequent or denying the antecedent proves nothing.

With a real , affirming one part denies the other and denying one affirms the other. With one that excludes being together, affirming one denies the other, but not the reverse. With one that excludes being absent, it is the reverse: denying one affirms the other.

Begrippen

الِاسْتِثْنَائِيُّ al-istithnāʾī: exceptive: the conclusion is in it in actuality
وَضْعُ الْمُقَدَّمِ waḍʿ al-muqaddam: affirming the antecedent
رَفْعُ التَّالِي rafʿ al-tālī: denying the consequent
مَانِعُ الْجَمْعِ / مَانِعُ الرَّفْعِ māniʿ al-jamʿ / māniʿ al-rafʿ: excluding being together / being absent

Voorbeelden

إِنْ كَانَ هٰذَا إِنْسَانًا فَهُوَ حَيَوَانٌ لٰكِنَّهُ لَيْسَ بِحَيَوَانٍ فَلَيْسَ بِإِنْسَانٍ
denying the consequent denies the antecedent

Test jezelf

3 vragen over deze les. Met 6 of meer van de 10 (twee sterren) gaat de volgende les open.

Vraag 1
“If it is a man, it is an animal; but it is an animal.” What follows?
Vraag 2
With a disjunctive that excludes being together, which works?
Vraag 3
The exceptive syllogism shows the conclusion…

Volgende les: Compound syllogism, induction and analogy

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