12,080
edits
Changes
Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 16:20, 6 May 2009
, 16:20, 6 May 2009→Commentary Note 12.4
In other words, <math>(\mathfrak{S}^\mathfrak{L})_{uv} = 0</math> if and only if there exists an <math>x \in X</math> such that <math>\mathfrak{S}_{ux} = 0</math> and <math>\mathfrak{L}_{xv} = 1.</math>
In other words, <math>(\mathfrak{S}^\mathfrak{L})_{uv} = 0</math> if and only if there exists an <math>x \in X</math> such that <math>\mathfrak{S}_{ux} = 0</math> and <math>\mathfrak{L}_{xv} = 1.</math>
===Commentary Note 12.5===
The equation <math>(\mathit{s}^\mathit{l})^\mathrm{w} = \mathit{s}^{\mathit{l}\mathrm{w}}\!</math> can be verified by establishing the corresponding equation in matrices:
{| align="center" cellspacing="6" width="90%"
| <math>(\mathfrak{S}^\mathfrak{L})^\mathfrak{W} ~=~ \mathfrak{S}^{\mathfrak{L}\mathfrak{W}}</math>
|}
==References==
==References==