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| {| align="center" width="90%" | | {| align="center" width="90%" |
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− | <p>The formula of analogy is as follows: <math>S^{\prime}, S^{\prime\prime}, S^{\prime\prime\prime}</math> are taken at random from such a class that their characters at random are such as <math>P^{\prime}, P^{\prime\prime}, P^{\prime\prime\prime}.</math></p> | + | <p>The formula of analogy is as follows: <math>S^{\prime}, S^{\prime\prime}, ~\operatorname{and}~ S^{\prime\prime\prime}</math> are taken at random from such a class that their characters at random are such as <math>P^{\prime}, P^{\prime\prime}, P^{\prime\prime\prime}.</math></p> |
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| + | | |
| <center> | | <center> |
| <math>\begin{matrix} | | <math>\begin{matrix} |
− | t ~\operatorname{is}~ P^{\prime}, P^{\prime\prime}, P^{\prime\prime\prime}, | + | t ~\operatorname{is}~ P^{\prime}, P^{\prime\prime}, ~\operatorname{and}~ P^{\prime\prime\prime}, |
| \\[4pt] | | \\[4pt] |
− | S^{\prime}, S^{\prime\prime}, S^{\prime\prime\prime} ~\operatorname{are}~ q; | + | S^{\prime}, S^{\prime\prime}, ~\operatorname{and}~ S^{\prime\prime\prime} ~\operatorname{are}~ q; |
| \\[4pt] | | \\[4pt] |
| \therefore t ~\operatorname{is}~ q. | | \therefore t ~\operatorname{is}~ q. |
| \end{matrix}</math> | | \end{matrix}</math> |
| </center> | | </center> |
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− | <p>Such an argument is double. It combines the two following: | + | | <p>Such an argument is double. It combines the two following: |
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| + | | |
| <center> | | <center> |
| <math>\begin{matrix} | | <math>\begin{matrix} |
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| \end{matrix}</math> | | \end{matrix}</math> |
| </center> | | </center> |
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| + | | |
| + | <center> |
| + | <math>\begin{matrix} |
| + | 2. |
| + | \\[4pt] |
| + | S^{\prime}, S^{\prime\prime}, S^{\prime\prime\prime} ~\operatorname{are,~for~instance,}~ P^{\prime}, P^{\prime\prime}, P^{\prime\prime\prime}, |
| + | \\[4pt] |
| + | t ~\operatorname{is}~ P^{\prime}, P^{\prime\prime}, P^{\prime\prime\prime}; |
| + | \\[4pt] |
| + | \therefore ~(\operatorname{By~hypothesis})~ t ~\operatorname{has~the~common~characters~of}~ S^{\prime}, S^{\prime\prime}, S^{\prime\prime\prime}, |
| + | \\[4pt] |
| + | S^{\prime}, S^{\prime\prime}, S^{\prime\prime\prime} ~\operatorname{are}~ q; |
| + | \\[4pt] |
| + | \therefore ~(\operatorname{Deductively})~ t ~\operatorname{is}~ q. |
| + | \end{matrix}</math> |
| + | </center> |
| |} | | |} |
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