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( Logic in Islamic philosophy) Logic (Arabic ?????) played an important role in Islamic philosophy. Islamic law and jurisprudence placed importance on formulating standards of argument, which gave rise to a novel approach to logic in Kalam, as seen in the method of qiyas. This approach, however, was later displaced to some extent by ideas from ancient Greek and Hellenistic philosophy with the rise of the Mu'tazili school, who highly valued Aristotle's Organon. The works of Hellenistic-influenced Islamic philosophers were crucial in the reception of Aristotelian logic in medieval Europe, along with the commentaries on the Organon by Averroes, founder of Averroism. In turn, the Aristotelian tradition was later displaced by Avicennian logic, which in turn was succeeded by Post-Avicennian logic.

Important developments made by Islamic logicians included the development of original systems of logic, notably Avicennian and Post-Avicennian logic, and the development of early theories on temporal logic, modal logic,[1][2] inductive logic,[3][4] hypothetical syllogism,[3] propositional calculus,[5] analogical reasoning,[6][7] and legal logic.[8] Other important developments in early Islamic philosophy include the development of a strict science of citation, the isnad or "backing", and the development of a scientific method of open inquiry to disprove claims, the ijtihad, which could be generally applied to many types of questions.

According to the Routledge Encyclopedia of Philosophy

Some of the earliest known logic in the Islamic world came from the work of Arabic grammarians. Examples include the grammatical works of Ibn Abi Ishaq (d. 735) and Sibawayh (d. 797). The latter's work in particular has been compared in its logical sophistication to the work of Pa?ini, a Sanskrit grammarian of the Indian tradition.

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