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皮尔士1870年的《亲属逻辑》•评论10.11
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![\开始{数组}{*{15}{c}}\mathbf{1}&=&\mathrm{B}&+\！\！，&\数学{C}&+\！\！，&\数学{D}&+\！\！，&\数学{E}&+\！\！，&\数学{I}&+\！\！，&\数学{J}&+\！\！，&\mathrm{O}\\[6pt]\mathrm{b}&=&\mathrm{O}\\[6pt]\mathrm{m}&=&\mathrm2{C}&+\！\！，&\数学{I}&+\！\！，&\数学{J}&+\！\！，&\mathrm{O}\\[6pt]\mathrm{r}&=&\mathrm{D}&+\！\！，&\mathrm{O}\end{array}](https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7B%2A%7B15%7D%7Bc%7D%7D++%5Cmathbf%7B1%7D+%26+%3D+%26++%5Cmathrm%7BB%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BC%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BD%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BE%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bb%7D+%26+%3D+%26+%5Cmathrm%7BO%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bm%7D+%26+%3D+%26++%5Cmathrm%7BC%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Br%7D+%26+%3D+%26++%5Cmathrm%7BD%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%7D++%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=1&c=20201002)
![\开始{数组}{*{15}{c}}\mathbf{1，}&=&\mathrm{B\！：\！B}&+\！\！，&\mathrm｛C\！：\！C｝&+\！\！，&\数学{D\！：\！D}&+\！\！，&\数学{E\！：\！E}&+\！\！，&\数学{I\！：\！I}&+\！\！，&\数学{J\！：\！J}&+\！\！，&\矩阵{O\！：\！O}\\[6pt]\mathrm{b，}&=&\mathrm{O！：\\数学{I\！：\！I}&+\！\！，&\数学{J\！：\！J}&+\！\！，&\矩阵{O\！：\！O}\\[6pt]\mathrm{r，}&=&\mathrm{D\！：！D}&+\！\！，&\mathrm{O\！：\！O}\end{array}](https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7B%2A%7B15%7D%7Bc%7D%7D++%5Cmathbf%7B1%2C%7D+%26+%3D+%26++%5Cmathrm%7BB%5C%21%3A%5C%21B%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BC%5C%21%3A%5C%21C%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BD%5C%21%3A%5C%21D%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BE%5C%21%3A%5C%21E%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%5C%21%3A%5C%21I%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%5C%21%3A%5C%21J%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bb%2C%7D+%26+%3D+%26+%5Cmathrm%7BO%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bm%2C%7D+%26+%3D+%26++%5Cmathrm%7BC%5C%21%3A%5C%21C%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%5C%21%3A%5C%21I%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%5C%21%3A%5C%21J%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Br%2C%7D+%26+%3D+%26++%5Cmathrm%7BD%5C%21%3A%5C%21D%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%7D++%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=1&c=20201002)
![\开始{数组}{*{9}{c}}\mathbf{1，\！，}&=&\mathrm{B\！：\！B\！！B}&+\！\！，&\mathrm{C\！：\！C\！！C}&+\！\！，&\数学{D\！：\！D\！！D}&+\！\！，&\数学{E\！：\！E\！！E}\\&&+\！\！，&\数学{I\！：\！I\！！I}&+\！\！，&\数学{J\！：\！J\！！J}&+\！\！，&\mathrm{O\！：\！O\！！O}\\[6pt]\mathrm{b，\！，}&=&\mathrm{O！：\\数学{I\！：\！I\！！I}&+\！\！，&\数学{J\！：\！J\！！J}&+\！\！，&\mathrm{O\！：\！O\！！O}\\[6pt]\mathrm{r，\！，}&=&\mathrm{D\！：\\！D}&+\！\！，&\mathrm｛O\！：\！O\！：\！O｝\end｛array｝](https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7B%2A%7B9%7D%7Bc%7D%7D++%5Cmathbf%7B1%2C%5C%21%2C%7D+%26+%3D+%26++%5Cmathrm%7BB%5C%21%3A%5C%21B%5C%21%3A%5C%21B%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BC%5C%21%3A%5C%21C%5C%21%3A%5C%21C%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BD%5C%21%3A%5C%21D%5C%21%3A%5C%21D%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BE%5C%21%3A%5C%21E%5C%21%3A%5C%21E%7D+%5C%5C++%26+%26+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%5C%21%3A%5C%21I%5C%21%3A%5C%21I%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%5C%21%3A%5C%21J%5C%21%3A%5C%21J%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bb%2C%5C%21%2C%7D+%26+%3D+%26+%5Cmathrm%7BO%5C%21%3A%5C%21O%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Bm%2C%5C%21%2C%7D+%26+%3D+%26++%5Cmathrm%7BC%5C%21%3A%5C%21C%5C%21%3A%5C%21C%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BI%5C%21%3A%5C%21I%5C%21%3A%5C%21I%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BJ%5C%21%3A%5C%21J%5C%21%3A%5C%21J%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%5C%21%3A%5C%21O%7D++%5C%5C%5B6pt%5D++%5Cmathrm%7Br%2C%5C%21%2C%7D+%26+%3D+%26++%5Cmathrm%7BD%5C%21%3A%5C%21D%5C%21%3A%5C%21D%7D+%26+%2B%5C%21%5C%21%2C+%26++%5Cmathrm%7BO%5C%21%3A%5C%21O%5C%21%3A%5C%21O%7D++%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=1&c=20201002)
![\开始{数组}{lll}\mathrm{m，\！b，\！r}&=&（\mathrm{C\！：\！C}~+\！O}）\\[6pt]&=&（\mathrm{C\！：\！C}~+\！\！，~\mathrm{I\！：！I}~+\\！\\结束｛数组｝](https://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Blll%7D++%5Cmathrm%7Bm%2C%5C%21b%2C%5C%21r%7D+%26+%3D+%26++%28%5Cmathrm%7BC%5C%21%3A%5C%21C%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BI%5C%21%3A%5C%21I%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BJ%5C%21%3A%5C%21J%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BO%5C%21%3A%5C%21O%7D%29%28%5Cmathrm%7BO%5C%21%3A%5C%21O%7D%29%28%5Cmathrm%7BD%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BO%7D%29++%5C%5C%5B6pt%5D++%26+%3D+%26++%28%5Cmathrm%7BC%5C%21%3A%5C%21C%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BI%5C%21%3A%5C%21I%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BJ%5C%21%3A%5C%21J%7D+%7E%2B%5C%21%5C%21%2C%7E+%5Cmathrm%7BO%5C%21%3A%5C%21O%7D%29%28%5Cmathrm%7BO%7D%29++%5C%5C%5B6pt%5D++%26+%3D+%26++%5Cmathrm%7BO%7D++%5Cend%7Barray%7D&bg=ffffff&fg=000000&s=1&c=20201002)
