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The evolution of general ideas

Note 3 — Chapter I · THE LOWER FORMS OF ABSTRACTION.

Frances A. (Frances Alice) Welby translation

Schmidkunz, loc. cit. This author, who rightly insists upon the positive character of abstraction (which is too frequently considered as a negation) observes that no concept, not even that of infinity, is in its psychological genesis the result of negation, for, “in order to deduce from the idea of a finite thing the idea of infinity, it is first necessary to abstract from that thing its quality of finality, which is certainly a positive act; subsequently, in order to reach infinity, it is sufficient either constantly to increase the time, magnitude, and intensity of the finite, which is a positive process; or to deny the limits of the finite, which is tantamount to denying the negation.”

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