Changes

9 bytes added ,  21:02, 5 March 2008
→‎Denotation: fix math symbols
Line 190: Line 190:  
The dyadic relation that makes up the ''denotative'', ''referential'', or ''semantic'' aspect or component of a sign relation '''L''' is notated as ''Den''('''L''').  Information about the denotative aspect of meaning is obtained from '''L''' by taking its projection on the object-sign plane, in other words, on the 2-dimensional space that is generated by the object domain '''O''' and the sign domain '''S'''.  This semantic component of a sign relation '''L''' is written in any one of the forms, '''L'''<sub>OS</sub>, ''proj''<sub>OS</sub>'''L''', '''L'''<sub>12</sub>, ''proj''<sub>12</sub>'''L''', and it is defined as follows:
 
The dyadic relation that makes up the ''denotative'', ''referential'', or ''semantic'' aspect or component of a sign relation '''L''' is notated as ''Den''('''L''').  Information about the denotative aspect of meaning is obtained from '''L''' by taking its projection on the object-sign plane, in other words, on the 2-dimensional space that is generated by the object domain '''O''' and the sign domain '''S'''.  This semantic component of a sign relation '''L''' is written in any one of the forms, '''L'''<sub>OS</sub>, ''proj''<sub>OS</sub>'''L''', '''L'''<sub>12</sub>, ''proj''<sub>12</sub>'''L''', and it is defined as follows:
   −
: ''Den''('''L''') = ''proj''<sub>OS</sub>'''L''' = { (''o'', ''s'') '''O''' × '''S''' : (''o'', ''s'', ''i'') '''L''' for some ''i'' '''I''' }.
+
: ''Den''('''L''') = ''proj''<sub>OS</sub>'''L''' = { (''o'', ''s'') &isin; '''O''' × '''S''' : (''o'', ''s'', ''i'') &isin; '''L''' for some ''i'' &isin; '''I''' }.
    
Looking to the denotative aspects of '''L'''<sub>A</sub> and '''L'''<sub>B</sub>, various rows of the Tables specify, for example, that A uses "i" to denote A and "u" to denote B, whereas B uses "i" to denote B and "u" to denote A.  All of these denotative references are summed up in the projections on the '''OS'''-plane, as shown in the following Tables:
 
Looking to the denotative aspects of '''L'''<sub>A</sub> and '''L'''<sub>B</sub>, various rows of the Tables specify, for example, that A uses "i" to denote A and "u" to denote B, whereas B uses "i" to denote B and "u" to denote A.  All of these denotative references are summed up in the projections on the '''OS'''-plane, as shown in the following Tables:
12,074

edits