CROSS DIVISION
\kɹˈɒs dɪvˈɪʒən], \kɹˈɒs dɪvˈɪʒən], \k_ɹ_ˈɒ_s d_ɪ_v_ˈɪ_ʒ_ə_n]\
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This logical error is when the members into which a class is divided do not exclude each other. Man is divisible, according to race, into Caucasian, Mongolian, Ethiopian; according to religion, into Christian, Mohammedan, Jew, and Pagan; but a division into Christian, Jew, Mongolian, .-Ethiopian-even if, as a fact, every man could be ranged under one only of these four classes- would be a C. D., because not dividing "man" upon one principle of division only, whether of religion, race, or any other.
By Henry Percy Smith