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Mahmmoud Yagoubi is a professor of philosophy and logic at the university of Algeria.
Moussa Fatahine is a professor of philosophy and logic at the university of Khemis-Miliana in Algeria.
In this paper, we are trying to summarize the peak of achievement of the Arabian logicians of the Arabian logicians of the fifteenth century by making a classification and sketching in familiar terms the conditional and subjunctive syllogisms in Muḥammad Ibn Yusūf al-SSinūsī's (1426-1490) work, i.e. in his explanation of Kitāb al-Muḫtaşar fī al-Manṭiq of al-Imām Muḥammad Ibn ʿArafa (1316-1401).