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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 02:54, 11 April 2009
, 02:54, 11 April 2009→Commentary Note 10.11
One application of the comma operator yields the following 2-adic relatives:
One application of the comma operator yields the following 2-adic relatives:
{| align="center" cellspacing="6" width="90%"
| 1,
|
<math>\begin{array}{*{15}{c}}
\mathbf{1,}
& = & \mathrm{B}\!:\!\mathrm{B}
& +\!\!, & \mathrm{C}\!:\!\mathrm{C}
& +\!\!, & \mathrm{D}\!:\!\mathrm{D}
& +\!\!, & \mathrm{E}\!:\!\mathrm{E}
& +\!\!, & \mathrm{I}\!:\!\mathrm{I}
& +\!\!, & \mathrm{J}\!:\!\mathrm{J}
& +\!\!, & \mathrm{O}\!:\!\mathrm{O}
\\[6pt]
\mathrm{b,}
& = & \mathrm{O}\!:\!\mathrm{O}
\\[6pt]
\mathrm{m,}
& = & \mathrm{C}\!:\!\mathrm{C}
& +\!\!, & \mathrm{I}\!:\!\mathrm{I}
& +\!\!, & \mathrm{J}\!:\!\mathrm{J}
& +\!\!, & \mathrm{O}\!:\!\mathrm{O}
\\[6pt]
\mathrm{r,}
& = & \mathrm{D}\!:\!\mathrm{D}
& +\!\!, & \mathrm{O}\!:\!\mathrm{O}
\end{array}</math>
|}
|}
| =
| =
| B:B:B +, C:C:C +, D:D:D +, E:E:E +, I:I:I +, J:J:J +, O:O:O
| B:B:B +, C:C:C +, D:D:D +, E:E:E +, I:I:I +, J:J:J +, O:O:O
|-
| b,,
| b,,
| =
| =