Quote: the antinomies of formal logic arise because classifications must be modified for unforeseen objects

Quotation

The rules of formal logic express simply the properties of all possible classifications. But for them to be applicable it is necessary that these classifications be immutable and that we have no need to modify them in the course of the reasoning. If we have to classify only a finite number of objects, it is easy to keep our classifications without change. If the objects are indefinite in number, that is to say if one is constantly exposed to seeing new and unforeseen objects arise, it may happen that the appearance of a new object may require the classification to be modified, and thus it is we are exposed to antinomies [like those of Zermelo-Konig, Richard, and Russell].   Google-1   Google-2

Published before 1923

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