„A proposition being a portion of discourse in which something is affirmed or denied of something, the first division of propositions is into affirmative and negative. An affirmative proposition is that in which the predicate is affirmed of the subject; as, Cæsar is dead. A negative proposition is that in which the predicate is denied of the subject; as, Cæsar is not dead. The copula, in this last species of proposition, consists of the words is not, which are the sign of negation; is being the sign of affirmation.“ (Chap. IV, § 2) #Mill #proposition
Archiv der Kategorie: Logik
Mill: Geometrical Laws
Zitat
„All things which possess extension, or, in other words, which fill space, are subject to geometrical laws.“ (Chap. V, § 1) #Mill #GeometricalLaws
Mill: Logic and Language
Zitat
„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
Zitat
„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
Pierce: Induction
Zitat
„Induction is a kind of reasoning that may lead us into error; but that it follows a method which, sufficiently persisted in, will be Inductively Certain (the sort of certainty we have that a perfect coin, pitched up often enough, will sometime turn up heads) to diminish the error below any predesignate degree, is assured by man’s power of perceiving Inductive Certainty.“ (Chap. IV) #Peirce #induction