Islam Hadith Methodology Mustalah

# Islam Hadith Methodology: Mustalah al-Hadith (Expert Tier)

## 1. Taxonomic Framework of Authentication
Criteria for S (Sahih): 1. Itt (Continuous chain); 2. 'Adalah (Uprightness/Integrity of narrator); 3. Dabt (Precision/Retention); 4. Adham al-Shudhudh (Absence of anomaly); 5. Adham al-'Illah (Absence of hidden defects).

### Mathematical/Logical Evaluation Logic:
- P(S) = P(Itt) ∩ P('Adalah) ∩ P(Dabt) ∩ P(No-Shudhudh) ∩ P(No-'Illah)
- If P(Dabt) < 100% but > 50% = H (Hasan).