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Handbook Of The History Of Logic 3 - The Rise Of Modern Logic From Leibniz To Frege

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Handbook Of The History Of Logic 3 - The Rise Of Modern Logic From Leibniz To
Frege



The meaning of the word 'logic' has changed quite a lot during the development of logic from ancient to present times.
Therefore any attempt to describe "the logic" of a historical author (or school) faces the problem of deciding
whether one wants to concentrate on what the author himself understood by 'logic' or what is considered as a genuinely
logical issue from our contemporary point of view. E.g., if someone is going to write about Aristotle's logic, does he
have to take the entire Organon into account, or only the First (and possibly the Second) Analytics? This problem also
afflicts the logic of Gottfried Wilhelm Leibniz (1646-1716). In the late 17th century, logic both as an academic
discipline and as a formal science basically coincided with Aristotelian syllogistics. Leibniz's logical work, too, was
to a large extent related to the theory of the syllogism, but at the same time it aimed at the construction of a much
more powerful "universal calculus". This calculus would primarily serve as a general tool for determining
which formal inferences (not only of syllogistic form) are logically valid.

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