Changes

Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)

Revision as of 05:08, 4 April 2009

492 bytes added , 05:08, 4 April 2009

→‎Commentary Note 8.4

Line 992: Line 992:

Here are a few of the simplest products among these terms:

−

~~: '~~l'1 = "lover of ~~anybody"~~

+

{| align="center" cellspacing="6" width="90%"

−

+

|

−

:: = (B:C +, C:B +, D:O +, E:I +, I:E +, O:D)(B +, C +, D +, E +, I +, J +, O)

+

<math>\begin{array}{lll}

−

+

\mathit{l}1

−

:: = B +, C +, D +, E +, I +, O

+

& = &

−

+

\text{lover of anything}

−

:: = ~~"anybody~~ except J"

+

\\[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{B} ~+\!\!,~ \mathrm{C} ~+\!\!,~ \mathrm{D} ~+\!\!,~ \mathrm{E} ~+\!\!,~ \mathrm{I} ~+\!\!,~ \mathrm{J} ~+\!\!,~ \mathrm{O})

+

\\[6pt]

+

& = &

+

\mathrm{B} ~+\!\!,~ \mathrm{C} ~+\!\!,~ \mathrm{D} ~+\!\!,~ \mathrm{E} ~+\!\!,~ \mathrm{I} ~+\!\!,~ \mathrm{O}

+

\\[6pt]

+

& = &

+

\text{anything except}~\mathrm{J}

+

\end{array}</math>

+

|}

: 'l'b = "lover of a black"

Jon Awbrey

12,080

edits