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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 16:36, 22 December 2007
, 16:36, 22 December 2007→Commentary Note 11.15: spacing
Real number addition and real number multiplication (suitably restricted) are examples of group operations. If we write the sign of each operation in braces as a name for the 3-adic relation that constitutes or defines the corresponding group, then we have the following set-up:
Real number addition and real number multiplication (suitably restricted) are examples of group operations. If we write the sign of each operation in braces as a name for the 3-adic relation that constitutes or defines the corresponding group, then we have the following set-up:
: ''J'' : {+} ← {<math>\cdot</math>}
: ''J'' : { + } ← { <math>\cdot</math> }
: { + } ⊆ '''R''' × '''R''' × '''R'''
: { + } ⊆ '''R''' × '''R''' × '''R'''