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“But the idea of science and systematic knowledge is wanting to our whole instruction alike, and not only to that of our business class ... In nothing do England and the Continent at the present moment more strikingly differ than in the prominence which is now given to the idea of science there, and the neglect in which this idea still lies here; a neglect so great that we hardly even know the use of the word science in its strict sense, and only employ it in a secondary and incorrect sense.”

“The old and oft-repeated proposition "Totum est majus sua parte" [the whole is larger than the part] may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false.”

“A philosopher ... is not fairly judged by his eccentricities, nor by the frailties to which he is liable; still less should his philosophy as a whole fall into ill-repute because of those among its devotees who have stumbled into wells, or who aimlessly pass their lives in whetting their faculties and then neglecting to use them.”