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Answer for the clue "The philosophy of Aristotle that elaborates the fundamental principles of the syllogism ", 15 letters:
aristotelianism

Word definitions for aristotelianism in dictionaries

The Collaborative International Dictionary Word definitions in The Collaborative International Dictionary
Aristotelianism \Ar`is*to*te"li*an*ism\ The philosophy of Aristotle, otherwise called the Peripatetic philosophy.

Wikipedia Word definitions in Wikipedia
Aristotelianism is a tradition of philosophy that takes its defining inspiration from the work of Aristotle . The works of Aristotle were initially defended by the members of the Peripatetic school , and, later on, by the Neoplatonists , who produced many ...

Usage examples of aristotelianism.

Because of this, his name has been used for the two-valued doctrines of Aristotelianism, and, conversely, the many-valued realities of modern science are given the name non-Aristotelianism.

Duns Scotus, a thirteenth-century exponent of medieval Aristotelianism.

Pierre de la Ramée, a sixteenth-century humanist and an opponent of medieval Aristotelianism.