Schlagwort-Archive: logic

Günther: The Problem of Time

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“The problem whether Time can or cannot be eliminated reveals itself now as a spurious alternative. Behind it looms the larger issue of two-valued classic and many-valued transclassic logic. In Aristotelian logic, the progressive elimination of Time is, indeed, an inescapable postulate. It does not provide Time with an ontological locus of its own.” (p. 402) #Günther #time #logic

Günther, Gotthard, Time, Timeless Logic and Self-Referential Systems, in: Annals of the New York Academy of Sciences 138 (1967), 396–406.

Mill: Logic and Language

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„Logic is a portion of the Art of Thinking: Language is evidently, and by the admission of all philosophers, one of the principal instruments or helps of thought; and any imperfection in the instrument, or in the mode of employing it, is confessedly liable, still more than in almost any other art, to confuse and impede the process, and destroy all ground of confidence in the result.“ (Chap. I, §1) #Mill #logic #language #ArtOfThinking

Mill: Logic and Knowledge

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„Logic, however, is not the same thing with knowledge, though the field of logic is co-extensive with the field of knowledge. Logic is the common judge and arbiter of all particular investigations. It does not undertake to find evidence, but to determine whether it has been found. Logic neither observes, nor invents, nor discovers; but judges.“ (Intro. §5) #Mill #logic #knowledge

Russell: Pure Mathematics

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„We start, in pure mathematics, from certain rules of inference, by which we can infer that if one proposition is true, then so is some other proposition. These rules of inference constitute the major part of the principles of formal logic.“ (p. 115) #Russell #mathematics #inference #logic

Mill: Ars Artium

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„It is in this sense that logic is, what it was so expressively called by the schoolmen and by Bacon, ars artium; the science of science itself.“ (Intro. §5) #Mill #ArsArtium #logic #Bacon