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Hellenic Logic
What is Hellenic Logic?
It's more than a nickname on Youtube.
The history of logic documents the development of logic as it occurs in various cultures and traditions in history
Logic as an explicit analysis of the methods of reasoning received sustained development originally only in three traditions
Those of China, India and Hellas (Greece)
The formally sophisticated treatment of modern logic descends from the Hellenic tradition
Particularly Aristotelian logic
which was further developed by Islamic logicians and then medieval European logicians
In Hellas, two main competing logical traditions emerged.
Stoic logic traced its roots back to Euclid of Megara
A pupil of Socrates, and with its concentration on propositional logic was perhaps closer to modern logic
However, the tradition that survived to influence later cultures was the Peripatetic tradition
Which originated in Aristotle's collection of works known as the Organon or Instrument, the first systematic Hellenic work on logic
Avi Sion-
Ph.D
(Philosophy)
writes:
The ancient Greeks gave birth to logical science as we know it, discussiong both categorical and conditional logic in considerable detail
The logic of categorical propositions is generally atributed to Aristotle (c. 350 BCE), the great Greek philosopher the pioneer of Logic
There has of course been other great logicians and philosophers before and since Aristotle
Socrates searched heuristically for definitions.
Plato encouraged axiomatization as "the best method to use in presenting and codifying knowledge"
and addressed the philosophical problems of unibersals. There was a broad cultural heritage to draw from;
a practice at least among intellectuals, and especially lawyers of argumentation
Later among the ancients, Theophrastus of Eresus
Diodorus of Cronus of Megara (4th century BCE)
Porphyry, e Neoplatonist, clarified classification by the use of "trees" dividing genera into species
Philo (c 300 BCE) of the Megarian School, a pupil of Diodorus, is credited with the "truth-functional" analysis of positive hypothetical propositions
Some hundred years later, Chrysippus of Soli, a Stoic philosopher, developed logical apodosis and considered hypotheticals with conjunctive theses and nesting
The paradoxes of Zeno, and Eleatic, gave rise to analytic conclusions seemingly contrary to experience and common sense (but these were single paradoxes)
Eulibedes, e Megarian, developed paradoxes like that of The Liar (a double paradox) which revealed purely conceptual contradictions
The logical science is a child of Helenes (Greeks)
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