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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 17:16, 4 April 2009
, 17:16, 4 April 2009→Commentary Note 8.4
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\\[6pt]
& = &
& = &
(\mathrm{B}\!:\!\mathrm{C} ~+\!\!,~ \mathrm{C}\!:\!\mathrm{B} ~+\!\!,~ \mathrm{D}\!:\!\mathrm{O} ~+\!\!,~ \mathrm{E}\!:\!\mathrm{I} ~+\!\!,~ \mathrm{I}\!:\!\mathrm{E} ~+\!\!,~ \mathrm{O}\!:\!\mathrm{D}) ~\times~ \mathrm{O}
(\mathrm{B}\!:\!\mathrm{C} ~+\!\!,~ \mathrm{C}\!:\!\mathrm{B} ~+\!\!,~ \mathrm{D}\!:\!\mathrm{O} ~+\!\!,~ \mathrm{E}\!:\!\mathrm{I} ~+\!\!,~ \mathrm{I}\!:\!\mathrm{E} ~+\!\!,~ \mathrm{O}\!:\!\mathrm{D})
\\
& &
\times
\\
& &
\mathrm{O}
\\[6pt]
\\[6pt]
& = &
& = &
\mathit{s}1
\mathit{s}1
& = &
& = &
\text{servant of anybody}
\text{servant of anything}
\\[6pt]
\\[6pt]
& = &
& = &
|}
|}
{| align="center" cellspacing="6" width="90%"
|
<math>\begin{array}{lll}
\mathit{s}\mathrm{b}
& = &
\text{servant of a black}
\\[6pt]
& = &
(\mathrm{C}\!:\!\mathrm{O} ~+\!\!,~ \mathrm{E}\!:\!\mathrm{D} ~+\!\!,~ \mathrm{I}\!:\!\mathrm{O} ~+\!\!,~ \mathrm{J}\!:\!\mathrm{D} ~+\!\!,~ \mathrm{J}\!:\!\mathrm{O})
\\
& &
\times
\\
& &
\mathrm{O}
\\[6pt]
& = &
\mathrm{C} ~+\!\!,~ \mathrm{I} ~+\!\!,~ \mathrm{J}
\end{array}</math>
|}
: 's'm = "servant of a man"
: 's'm = "servant of a man"