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Heidegger And The Logic Of Categorical Syllogisms

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Heidegger and the Logic of Categorical Syllogisms

According to traditional syllogistic logic, which has its roots in Aristotle, there are four types of propositions: the A proposition ("All S are P"), the E proposition ("No S are P"), the I proposition ("Some S are P"), and the O proposition ("Some S are not P"). These propositional types represent all of the possible combinations of the dichotomies of affirmative/negative and universal/particular. Each makes a claim that a certain essent (the particular I and O propositions) or an entire class of essents (the universal A and E propositions), the subject or subject-class, relates in some way (belongs or does not belong) to a class of essents designated by the predicate of the …show more content…

For Heidegger, the meaning of a word can never be completely divorced from its etymology; Steiner, in his work on Heidegger, quotes and then translates Heidegger, saying, "`Das Wort "Philosophie" spricht jetzt griechisch.' This means, literally, that the word itself, if we hear it rightly, speaks Greek." (Steiner 22) Steiner later summarizes Heidegger's attempt to find an explanation for Being [Sein] by tracing the etymological roots of the German word. Heidegger, according to Steiner, finds three roots for different forms of the German verb Sein. The German ist comes from the Indo-European es, and is translated by Heidegger as "life itself" and "the integral." The German bin and bist derive from the Indo-European bheu, which is translated by Heidegger as "that which declares itself as a phenomenon." Finally, the German Wesen is derived from the Sanskrit vasami, which is translated roughly as "to belong to and in." (Steiner 46)

Does this etymological study bear any relationship to formal logic, or have we wandered far afield? As it turns out, this examination has important bearings on the theory and evaluation of categorical syllogisms. Various forms of the English verb "to be" have differing etymologies, as well. The English "is" has the same etymological root as the German ist, which means that it also (at least for Heidegger) carries the meanings of "life itself" and "the integral." The

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