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, John Stuart, A System of Logic, Ratiocinative and Inductive Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation. New York: Harper & Brothers 81882.

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

Mill, John Stuart, A System of Logic, Ratiocinative and Inductive Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation. New York: Harper & Brothers 81882.

Russell: Pure Mathematics

Zitat

“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

Russell, Bertrand, Mysticism and Logic and Other Essays. London: George Allen & Unwin LTD 111959.

Mill: Ars Artium

Zitat

“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

Mill, John Stuart, A System of Logic, Ratiocinative and Inductive Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation. New York: Harper & Brothers 81882.

Mill: Logic

Zitat

“Logic, then, is the science of the operations of the understanding which are subservient to the estimation of evidence: both the process itself of advancing from known truths to unknown, and all other intellectual operations in so far as auxiliary to this. It includes, therefore, the operation of Naming; for language is an instrument of thought, as well as a means of communicating our thoughts. It includes, also, Definition, and Classification.” (Intro. §7) #Mill #Logic #Naming #Definition #Classification

Mill, John Stuart, A System of Logic, Ratiocinative and Inductive Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation. New York: Harper & Brothers 81882.