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In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge.
Leo the Mathematician was appointed to the chair of philosophy at the Magnaura School in the mid-9th century to teach Aristotelian logic. [2] The 11th and 12th centuries saw the emergence of twelfth-century Byzantine Aristotelianism. Before the 12th century, the whole Byzantine output of Aristotelian commentaries was focused on logic. [2]
In the Enlightenment there was a revival of interest in logic as the basis of rational enquiry, and a number of texts, most successfully the Port-Royal Logic, polished Aristotelian term logic for pedagogy. During this period, while the logic certainly was based on that of Aristotle, Aristotle's writings themselves were less often the basis of ...
The history of logic deals with the study of the development of the science of valid inference ().Formal logics developed in ancient times in India, China, and Greece.Greek methods, particularly Aristotelian logic (or term logic) as found in the Organon, found wide application and acceptance in Western science and mathematics for millennia. [1]
Early approaches include Aristotelian logic, Stoic logic, Nyaya, and Mohism. Aristotelian logic focuses on reasoning in the form of syllogisms. It was considered the main system of logic in the Western world until it was replaced by modern formal logic, which has its roots in the work of late 19th-century mathematicians such as Gottlob Frege.
For Plato and Aristotle, dialectic involves persuasion, so when Aristotle says that rhetoric is the antistrophe of dialectic, he means that rhetoric as he uses the term has a domain or scope of application that is parallel to, but different from, the domain or scope of application of dialectic. Claude Pavur explains that "[t]he Greek prefix ...
Modern work on Aristotle's logic builds on the tradition started in 1951 with the establishment by Jan Łukasiewicz of a revolutionary paradigm. His approach was replaced in the early 1970s in a series of papers by John Corcoran and Timothy Smiley [ 8 ] —which inform modern translations of Prior Analytics by Robin Smith in 1989 and Gisela ...
The Cartesian Semantics of the Port-Royal Logic is a scholarly work by John N. Martin, first published in 2019 by Routledge. This book provides a comprehensive analysis of the semantics of the Port-Royal Logic (La Logique ou l’Art de penser), a key 17th-century text written by Antoine Arnauld and Pierre Nicole, which significantly influenced the development of logic and philosophy in the ...