Information om | Engelska ordet IRRATIONALITIES

Exempel på hur man kan använda IRRATIONALITIES i en mening

• The equivalence classes of quadratic irrationalities are then in bijection with the equivalence classes of binary quadratic forms, and Lagrange showed that there are finitely many equivalence classes of binary quadratic forms of given discriminant.
• He called square roots "plane irrationalities" and cubic roots "solid irrationalities", and classified the sums or differences of these roots, as well as the results of the roots' additions or subtractions from rational magnitudes, also as irrational magnitudes.
• His prose translation of Homer (1769 and 1777), competing with verse translations by Bürger and Stolberg (for the Deutsches Museum), raised the witty obituary in the Bibiothek der schönen Wissenschaften: "Homer, Greek poet, dead in Berlin!" As a philologist, he urged that, on rational grounds, the letter h be dropped from German orthography in cases in which it appeared in final position in a word, as "an unfounded practice that appears barbaric in the eyes of foreigners and thus insulting to our nation", for which Johann Georg Hamann, friend of Kant and teacher of Herder, took him to task, defending the h on human terms, as speaking "with a human voice"; purging language of such irrationalities, the proto-Romantic Herder asserted, was an "assault on the colour, beauty, texture, character, virility, history, and even spirituality of language", as Graeme Garrard has expressed it, in one of the first shots of the Counter-Enlightenment.

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