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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 16:34, 22 December 2007
, 16:34, 22 December 2007→Commentary Note 11.15: markup
: ''J'' : {+} ← {<math>\cdot</math>}
: ''J'' : {+} ← {<math>\cdot</math>}
: {+} ⊆ '''R''' × '''R''' × '''R'''
: { + } ⊆ '''R''' × '''R''' × '''R'''
: {<math>\cdot \;</math>} ⊆ '''R''' × '''R''' × '''R'''
: { <math>\cdot</math> } ⊆ '''R''' × '''R''' × '''R'''
In many cases, one finds that both groups are written with the same sign of operation, typically "<math>\cdot</math>", "+", "*", or simple concatenation, but they remain in general distinct whether considered as operations or as relations, no matter what signs of operation are used. In such a setting, our chiasmatic theme may run a bit like these two variants:
In many cases, one finds that both groups are written with the same sign of operation, typically "<math>\cdot</math>", "+", "*", or simple concatenation, but they remain in general distinct whether considered as operations or as relations, no matter what signs of operation are used. In such a setting, our chiasmatic theme may run a bit like these two variants: