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Logic and mathematics
mimibes - Mise à jour : 28/02/2011
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Extrait / Introduction :
Historically, logic originated with the ancient Greek philosopher Aristotle. Logic was further developed and systematized by the Stoics and by the medieval scholastic philosophers. In the late 19th and 20th centuries, logic saw explosive growth, which has continued up to the present. One may ask whether logic is part of philosophy or independent of it. According to Boche´nski [2, §10B], this issue is nowhere explicitly raised in the writings of Aristotle. However, Aristotle did go to great pains to formulate the basic concepts of logic (terms, premises, syllogisms, etc.) in a neutral way, independent of any particular philosophical orientation. Thus Aristotle seems to have viewed logic not as part of philosophy but rather as a tool or instrument1 to be used by philosophers and scientists alike. This attitude about logic is in agreement with the modern view, according to which the predicate calculus (see 1.2 below) is a general method or framework not only for philosophical reasoning but also for reasoning about any subject matter whatsoeverPlan
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1 Logic 2 Foundations of mathematics 3 Philosophy of mathematicsLecture en ligne indisponible pour ce document
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Le document Logic and mathematics appartient à la rubrique Mathématiques qui elle même appartient à la thématique Sciences.
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